I. Affleck, The quantum Hall effects, ??-models at ?? = ?? and quantum spin chains, Nuclear Physics B, vol.257, issue.0, pp.397-406, 1985.
DOI : 10.1016/0550-3213(85)90353-0

I. Affleck and A. W. Ludwig, Universal noninteger ??????ground-state degeneracy?????? in critical quantum systems, Physical Review Letters, vol.67, issue.2, pp.161-164, 1991.
DOI : 10.1103/PhysRevLett.67.161

F. C. Alcaraz, M. N. Barber, M. T. Batchelor, R. J. Baxter, and G. R. , Surface exponents of the quantum XXZ, Ashkin-Teller and Potts models, 6397. [9] A. Alekseev and V. Schomerus, D-branes in the WZW model, 1987.
DOI : 10.1088/0305-4470/20/18/038

A. Altland and M. R. Zirnbauer, Nonstandard symmetry classes in mesoscopic normal-superconducting hybrid structures, Physical Review B, vol.55, issue.2, pp.1142-1161, 1997.
DOI : 10.1103/PhysRevB.55.1142

G. E. Andrews, R. J. Baxter, and P. J. Forrester, Eight-vertex SOS model and generalized Rogers-Ramanujan-type identities, Journal of Statistical Physics, vol.16, issue.3-4, pp.193-266, 1984.
DOI : 10.1007/BF01014383

E. Ardonne and G. Sierra, Chiral correlators of the Ising conformal field theory, Journal of Physics A: Mathematical and Theoretical, vol.43, issue.50, p.505402, 2010.
DOI : 10.1088/1751-8113/43/50/505402

C. Barnes, B. L. Johnson, and G. Kirczenow, Quantum railroads: Introducing directionality to Anderson localization, Physical Review Letters, vol.70, issue.8, pp.1159-1162, 1993.
DOI : 10.1103/PhysRevLett.70.1159

M. Bauer and D. Bernard, Conformal Transformations and the SLE Partition Function Martingale, Annales Henri Poincar??, vol.5, issue.2, pp.289-326, 2004.
DOI : 10.1007/s00023-004-0170-z
URL : https://hal.archives-ouvertes.fr/hal-00021806

R. J. Baxter, Exactly Solved Models in Statistical Mechanics, Dover Books on Physics Series, 2008.

E. J. Beamond, J. Cardy, and J. T. Chalker, Quantum and classical localization, the spin quantum Hall effect, and generalizations, Physical Review B, vol.65, issue.21, p.214301, 2002.
DOI : 10.1103/PhysRevB.65.214301

A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov, Infinite conformal symmetry in two-dimensional quantum field theory, Nuclear Physics B, vol.241, issue.2, pp.333-380, 1984.
DOI : 10.1016/0550-3213(84)90052-X

D. Bernard and A. Leclair, A classification of 2D random Dirac fermions, Journal of Physics A: Mathematical and General, vol.35, issue.11, 2002.
DOI : 10.1088/0305-4470/35/11/303

B. A. Bernevig, T. L. Hughes, and S. Zhang, Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells, Science, vol.314, issue.5806, pp.1757-1761, 2006.
DOI : 10.1126/science.1133734

M. Bershadsky, PSL(n|n) sigma model as a conformal field theory, Nuclear Physics B, vol.559, issue.1-2, pp.205-234, 1999.
DOI : 10.1016/S0550-3213(99)00378-8

E. Bettelheim, I. A. Gruzberg, and A. W. Ludwig, Quantum Hall transitions: An exact theory based on conformal restriction, Physical Review B, vol.86, issue.16, pp.1202-4573, 2012.
DOI : 10.1103/PhysRevB.86.165324

H. W. Blöte, J. Cardy, and M. P. Nightingale, Conformal invariance, the central charge, and universal finite-size amplitudes at criticality, Physical Review Letters, vol.56, issue.7, pp.56-742, 1986.
DOI : 10.1103/PhysRevLett.56.742

R. Blumenhagen and E. Plauschinn, Introduction to Conformal Field Theory: With Applications to String Theory, Lecture Notes in Physics, 2009.

R. Bondesan, J. Dubail, J. L. Jacobsen, and H. Saleur, Conformal boundary state for the rectangular geometry, Nuclear Physics B, vol.862, issue.2, pp.553-575, 2012.
DOI : 10.1016/j.nuclphysb.2012.04.021

R. Bondesan, I. A. Gruzberg, J. L. Jacobsen, H. Obuse, and H. Saleur, Exact Exponents for the Spin Quantum Hall Transition in the Presence of Multiple Edge Channels, Physical Review Letters, vol.108, issue.12, p.126801, 2012.
DOI : 10.1103/PhysRevLett.108.126801

R. Bondesan, J. L. Jacobsen, and H. Saleur, Edge states and conformal boundary conditions in super spin chains and super sigma models, Nuclear Physics B, vol.849, issue.2, pp.461-502, 2011.
DOI : 10.1016/j.nuclphysb.2011.03.023

R. Bondesan, J. L. Jacobsen, and H. Saleur, Rectangular amplitudes, conformal blocks, and applications to loop models, Nuclear Physics B, vol.867, issue.3, pp.913-949, 2013.
DOI : 10.1016/j.nuclphysb.2012.10.018

R. Brauer, On Algebras Which are Connected with the Semisimple Continuous Groups, The Annals of Mathematics, vol.38, issue.4, pp.857-872, 1937.
DOI : 10.2307/1968843

S. B. Bravyi and A. Y. Kitaev, Quantum codes on a lattice with boundary, eprint arXiv:quant-ph (1998), available at arXiv:quant-ph, 9811052.

J. Budczies and M. R. Zirnbauer, Howe Duality for an Induced Model of Lattice U(N) Yang-Mills Theory, ArXiv Mathematical Physics e-prints, 2003.

M. Büttiker, Absence of backscattering in the quantum Hall effect in multiprobe conductors, Physical Review B, vol.38, issue.14, pp.9375-9389, 1988.
DOI : 10.1103/PhysRevB.38.9375

P. Calabrese and J. Cardy, Quantum quenches in extended systems, Journal of Statistical Mechanics: Theory and Experiment, vol.2007, issue.06, p.6008, 2007.
DOI : 10.1088/1742-5468/2007/06/P06008

C. G. Callan, C. Lovelace, C. R. Nappi, and S. A. Yost, Adding holes and crosscaps to the superstring, Nuclear Physics B, vol.293, issue.0, pp.83-113, 1987.
DOI : 10.1016/0550-3213(87)90065-4

C. Candu, T. Creutzig, V. Mitev, and V. Schomerus, Cohomological reduction of sigma models, Journal of High Energy Physics, vol.652, issue.5, pp.2010-2011, 2010.
DOI : 10.1007/JHEP05(2010)047

C. Candu, J. L. Jacobsen, N. Read, and H. Saleur, Universality classes of polymer melts and conformal sigma models, Journal of Physics A: Mathematical and Theoretical, vol.43, issue.14, pp.43-142001, 2010.
DOI : 10.1088/1751-8113/43/14/142001

C. Candu, V. Mitev, T. Quella, H. Saleur, and V. Schomerus, The sigma model on complex projective superspaces, Journal of High Energy Physics, vol.788, issue.2, pp.2010-59, 2010.
DOI : 10.1007/JHEP02(2010)015

C. Candu and H. Saleur, A lattice approach to the conformal supercoset sigma model. Part I: Algebraic structures in the spin chain. The Brauer algebra, Nuclear Physics B, vol.808, issue.3, pp.441-486, 2009.
DOI : 10.1016/j.nuclphysb.2008.09.034

S. Caracciolo, J. L. Jacobsen, H. Saleur, A. D. Sokal, and A. Sportiello, Fermionic Field Theory for Trees and Forests, Physical Review Letters, vol.93, issue.8, pp.93-080601, 2004.
DOI : 10.1103/PhysRevLett.93.080601
URL : https://hal.archives-ouvertes.fr/hal-00002931

J. Cardy, Conformal invariance and surface critical behavior, Nuclear Physics B, vol.240, issue.4, pp.514-532, 1984.
DOI : 10.1016/0550-3213(84)90241-4

J. Cardy and D. Lewellen, Bulk and boundary operators in conformal field theory, Physics Letters B, vol.259, issue.3, pp.274-278, 1991.
DOI : 10.1016/0370-2693(91)90828-E

J. Cardy and I. Peschel, Finite-size dependence of the free energy in two-dimensional critical systems, Nuclear Physics B, vol.300, pp.377-392, 1988.
DOI : 10.1016/0550-3213(88)90604-9

J. T. Chalker and P. D. Coddington, Percolation, quantum tunnelling and the integer Hall effect, Journal of Physics C: Solid State Physics, vol.21, issue.14, p.2665, 1988.
DOI : 10.1088/0022-3719/21/14/008

J. T. Chalker, N. Read, V. Kagalovsky, B. Horovitz, Y. Avishai et al., Thermal metal in network models of a disordered two-dimensional superconductor, Physical Review B, vol.65, issue.1, p.12506, 2001.
DOI : 10.1103/PhysRevB.65.012506

S. Cheng and W. Wang, Dualities and Representations of Lie Superalgebras, 2013.
DOI : 10.1090/gsm/144

S. Coleman, More about the massive Schwinger model, Annals of Physics, vol.101, issue.1, pp.239-267, 1976.
DOI : 10.1016/0003-4916(76)90280-3

T. Creutzig, Geometry of branes on supergroups, Nuclear Physics B, vol.812, issue.3, pp.301-321, 2009.
DOI : 10.1016/j.nuclphysb.2008.10.006

T. Creutzig, T. Quella, and V. Schomerus, Branes in the WZNW model, Branes in the GL(1|1) WZNW model, pp.257-283, 2008.
DOI : 10.1016/j.nuclphysb.2007.09.014

T. Creutzig and P. B. Rønne, The -symplectic fermion correspondence, Nuclear Physics B, vol.815, issue.1-2, pp.95-124, 2009.
DOI : 10.1016/j.nuclphysb.2009.02.013

A. D. Adda, M. Lüscher, and P. D. Vecchia, A expandable series of non-linear ?? models with instantons, Nuclear Physics B, vol.146, issue.1, pp.63-76, 1978.
DOI : 10.1016/0550-3213(78)90432-7

S. , D. Sarma, and A. Pinczuk, Perspectives in Quantum Hall Effects: Novel Quantum Liquids in Low-Dimensional Semiconductor Structures, 2008.

P. G. De-gennes, Scaling Concepts in Polymer Physics, G -Reference, Information and Interdisciplinary Subjects Series, 1979.

P. Di-francesco, H. Saleur, and J. B. Zuber, Relations between the Coulomb gas picture and conformal invariance of two-dimensional critical models, Journal of Statistical Physics, vol.15, issue.1-2, pp.57-79, 1987.
DOI : 10.1007/BF01009954

N. Diamantis and P. Kleban, New percolation crossing formulas and second-order modular forms, ArXiv e-prints, 2009.
DOI : 10.4310/cntp.2009.v3.n4.a4
URL : http://arxiv.org/abs/0905.1727

A. Doikou and P. P. Martin, Hecke algebraic approach to the reflection equation for spin chains, Journal of Physics A: Mathematical and General, vol.36, issue.9, p.2203, 2003.
DOI : 10.1088/0305-4470/36/9/301

V. S. Dotsenko and V. A. Fateev, Four-point correlation functions and the operator algebra in 2D conformal invariant theories with central charge C???1, Nuclear Physics B, vol.251, pp.691-734, 1985.
DOI : 10.1016/S0550-3213(85)80004-3

J. Dubail, J. L. Jacobsen, and H. Saleur, Conformal two-boundary loop model on the annulus, Nuclear Physics B, vol.813, issue.3, pp.430-459, 2009.
DOI : 10.1016/j.nuclphysb.2008.12.023
URL : https://hal.archives-ouvertes.fr/hal-00346910

J. Dubail and J. Stéphan, Universal behavior of a bipartite fidelity at quantum criticality, Journal of Statistical Mechanics: Theory and Experiment, vol.2011, issue.03, p.3002, 2011.
DOI : 10.1088/1742-5468/2011/03/L03002

B. Duplantier and F. David, Exact partition functions and correlation functions of multiple Hamiltonian walks on the Manhattan lattice, Journal of Statistical Physics, vol.57, issue.3-4, pp.327-434, 1988.
DOI : 10.1007/BF01028464

F. J. Dyson, The Threefold Way. Algebraic Structure of Symmetry Groups and Ensembles in Quantum Mechanics, Journal of Mathematical Physics, vol.3, issue.6, pp.1199-1215, 1962.
DOI : 10.1063/1.1703863

K. Efetov, Supersymmetry in Disorder and Chaos, 1999.

I. Ellwood, B. Feng, Y. He, and N. Moeller, The identity string field and the tachyon vacuum, Journal of High Energy Physics, vol.2001, issue.07, p.16, 2001.
DOI : 10.1088/1126-6708/2001/07/016

F. H. Essler, H. Frahm, and H. Saleur, Continuum limit of the integrable superspin chain, Nuclear Physics B, vol.712, issue.3, pp.513-572, 2005.
DOI : 10.1016/j.nuclphysb.2005.01.021
URL : https://hal.archives-ouvertes.fr/hal-00165377

F. Evers, A. D. Mirlin, and A. Transitions, Anderson transitions, Reviews of Modern Physics, vol.80, issue.4, pp.1355-1417, 2008.
DOI : 10.1103/RevModPhys.80.1355

A. Feiguin, S. Trebst, A. W. Ludwig, M. Troyer, A. Kitaev et al., Interacting Anyons in Topological Quantum Liquids: The Golden Chain, Physical Review Letters, vol.98, issue.16, pp.98-160409, 2007.
DOI : 10.1103/PhysRevLett.98.160409

G. Felder, J. Fröhlich, J. Fuchs, and C. Schweigert, Conformal Boundary Conditions and Three-Dimensional Topological Field Theory, Physical Review Letters, vol.84, issue.8, pp.1659-1662, 2000.
DOI : 10.1103/PhysRevLett.84.1659
URL : http://arxiv.org/abs/hep-th/9909140

P. Fendley and N. Read, -matrices for supersymmetric sigma models and the Potts model, Journal of Physics A: Mathematical and General, vol.35, issue.50, 2002.
DOI : 10.1088/0305-4470/35/50/301
URL : https://hal.archives-ouvertes.fr/hal-00264967

C. M. Fortuin and P. W. Kasteleyn, On the random-cluster model, Physica, vol.57, issue.4, pp.536-564, 1972.
DOI : 10.1016/0031-8914(72)90045-6

E. Fradkin, Field Theories of Condensed Matter Systems, Advanced Books Classics Series, Perseus Books, 1998.

P. , D. Francesco, P. Mathieu, and D. Sénéchal, Conformal Field Theory, Graduate Texts in Contemporary Physics, 1997.

D. Friedan, Z. Qiu, and S. Shenker, Conformal Invariance, Unitarity, and Critical Exponents in Two Dimensions, Conformal Invariance, Unitarity, and Critical Exponents in Two Dimensions, pp.1575-1578, 1984.
DOI : 10.1103/PhysRevLett.52.1575

M. R. Gaberdiel, D-branes from conformal field theory, Fortschritte der Physik 50 An Algebraic approach to logarithmic conformal field theory, Int.J.Mod.Phys, vol.87, pp.783-801, 2002.

M. R. Gaberdiel and I. Runkel, The logarithmic triplet theory with boundary, Journal of Physics A: Mathematical and General, vol.39, issue.47, p.14745, 2006.
DOI : 10.1088/0305-4470/39/47/016

R. Gade, Anderson localization for sublattice models, Nuclear Physics B, vol.398, issue.3, pp.499-515, 1993.
DOI : 10.1016/0550-3213(93)90601-K

R. Gade and F. Wegner, The n = 0 replica limit of U(n) and models, Nuclear Physics B, vol.360, issue.2-3, pp.213-218, 1991.
DOI : 10.1016/0550-3213(91)90401-I

A. M. Gainutdinov, N. Read, and H. Saleur, Bimodule structure in the periodic gl(1|1) spin chain, ArXiv e-prints, pp.1112-3407, 2011.

D. Gepner and E. Witten, String theory on group manifolds, Nuclear Physics B, vol.278, issue.3, pp.493-549, 1986.
DOI : 10.1016/0550-3213(86)90051-9

S. M. Girvin, The Quantum Hall Effect: Novel Excitations and Broken Symmetries, Topological Aspects of Low Dimensional Systems, p.53, 1999.

F. Gomes and D. C. Sorensen, ARPACK++: An object-oriented version of ARPACK eigenvalue package, 2000.

G. Götz, T. Quella, and V. Schomerus, Tensor products of psl(2|2) representations, ArXiv High Energy Physics -Theory e-prints, p.506072, 2005.

I. A. Gruzberg, A. W. Ludwig, and N. Read, Exact Exponents for the Spin Quantum Hall Transition, Physical Review Letters, vol.82, issue.22, pp.4524-4527, 1999.
DOI : 10.1103/PhysRevLett.82.4524

I. A. Gruzberg, N. Read, and A. W. Ludwig, Network models for quantum Hall transitions: the supersymmetry approach, 2009.

I. A. Gruzberg, N. Read, and S. Sachdev, Scaling and crossover functions for the conductance in the directed network model of edge states, Physical Review B, vol.55, issue.16, pp.10593-10601, 1997.
DOI : 10.1103/PhysRevB.55.10593

V. Gurarie, Logarithmic operators in conformal field theory, Nuclear Physics B, vol.410, issue.3, pp.535-549, 1993.
DOI : 10.1016/0550-3213(93)90528-W

V. Gurarie and A. W. Ludwig, Conformal Field Theory at central charge c=0 and Two- Dimensional Critical Systems with Quenched Disorder, ArXiv High Energy Physics -Theory eprints, p.409105, 2004.

F. D. Haldane, Nonlinear Field Theory of Large-Spin Heisenberg Antiferromagnets: Semiclassically Quantized Solitons of the One-Dimensional Easy-Axis N??el State, Physical Review Letters, vol.50, issue.15, pp.50-1153, 1983.
DOI : 10.1103/PhysRevLett.50.1153

B. I. Halperin, Quantized Hall conductance, current-carrying edge states, and the existence of extended states in a two-dimensional disordered potential, Physical Review B, vol.25, issue.4, pp.2185-2190, 1982.
DOI : 10.1103/PhysRevB.25.2185

M. Z. Hasan and C. L. Kane, : Topological insulators, Reviews of Modern Physics, vol.82, issue.4, pp.3045-3067, 2010.
DOI : 10.1103/RevModPhys.82.3045

P. Heinzner, A. Huckleberry, and M. R. Zirnbauer, Symmetry Classes of Disordered Fermions, Communications in Mathematical Physics, vol.37, issue.3, pp.725-771, 2005.
DOI : 10.1007/s00220-005-1330-9

R. Howe, Remarks on classical invariant theory, Transactions of the American Mathematical Society, vol.313, issue.2, pp.539-570, 1989.
DOI : 10.1090/S0002-9947-1989-0986027-X

Y. Ikhlef, P. Fendley, and J. Cardy, Integrable modification of the critical Chalker-Coddington network model, Physical Review B, vol.84, issue.14, p.144201, 2011.
DOI : 10.1103/PhysRevB.84.144201

Y. Ikhlef, J. L. Jacobsen, and H. Saleur, A Temperley???Lieb quantum chain with two- and three-site interactions, Journal of Physics A: Mathematical and Theoretical, vol.42, issue.29, p.292002, 2009.
DOI : 10.1088/1751-8113/42/29/292002

Y. Imamura, H. Isono, and Y. Matsuo, Boundary States in the Open String Channel and CFT near a Corner, Progress of Theoretical Physics, vol.115, issue.5, pp.979-1002, 2006.
DOI : 10.1143/PTP.115.979

N. Ishibashi, The Boundary and Crosscap States in Conformal Field Theories, Mod, Phys.Lett, pp.4-251, 1989.

E. V. Ivashkevich, conformal field theory, Journal of Physics A: Mathematical and General, vol.32, issue.9, p.1691, 1999.
DOI : 10.1088/0305-4470/32/9/015

J. L. Jacobsen, Conformal Field Theory Applied to Loop Models, Polygons, polyominoes and polycubes, pp.347-424, 2009.

J. L. Jacobsen and H. Saleur, Conformal boundary loop models, Nuclear Physics B, vol.788, issue.3, pp.137-166, 2008.
DOI : 10.1016/j.nuclphysb.2007.06.029
URL : https://hal.archives-ouvertes.fr/hal-00116769

J. K. Jain, Composite Fermions, 2007.
DOI : 10.1017/CBO9780511607561

M. Janssen, M. Metzler, and M. R. Zirnbauer, Point-contact conductances at the quantum Hall transition, Physical Review B, vol.59, issue.24, p.15836, 1999.
DOI : 10.1103/PhysRevB.59.15836

V. G. Kac, Vertex Algebras for Beginners, 1998.
DOI : 10.1090/ulect/010

V. Kagalovsky, B. Horovitz, Y. Avishai, and J. T. Chalker, Quantum Hall Plateau Transitions in Disordered Superconductors, Physical Review Letters, vol.82, issue.17, pp.3516-3519, 1999.
DOI : 10.1103/PhysRevLett.82.3516

C. L. Kane and E. J. Mele, Quantum Spin Hall Effect in Graphene, Phys. Rev. Lett, pp.95-226801, 2005.

L. H. Kauffman and S. Lins, Temperley-Lieb Recoupling Theory and Invariants of 3-Manifolds, Annals of Mathematics Studies, 1994.
DOI : 10.1515/9781400882533

A. Kitaev, Periodic table for topological insulators and superconductors, American institute of physics conference series, pp.22-30, 2009.

P. Kleban and I. Vassileva, Free energy of rectangular domains at criticality, Journal of Physics A: Mathematical and General, vol.24, issue.14, p.3407, 1991.
DOI : 10.1088/0305-4470/24/14/027

P. Kleban and D. Zagier, Crossing Probabilities and Modular Forms, Journal of Statistical Physics, vol.113, issue.3/4, pp.431-454, 2003.
DOI : 10.1023/A:1026012600583
URL : http://arxiv.org/abs/cond-mat/9911070

K. Kobayashi, K. Hirose, H. Obuse, T. Ohtsuki, and K. Slevin, Transport properties in network models with perfectly conducting channels, Journal of Physics: Conference Series, vol.150, issue.2, p.22041, 2009.
DOI : 10.1088/1742-6596/150/2/022041

J. Kondev and J. B. Marston, Supersymmetry and localization in the quantum Hall effect, Nuclear Physics B, vol.497, issue.3, pp.639-657, 1997.
DOI : 10.1016/S0550-3213(97)00300-3

M. König, S. Wiedmann, C. Brüne, A. Roth, H. Buhmann et al., Quantum Spin Hall Insulator State in HgTe Quantum Wells, Quantum Spin Hall Insulator State in HgTe Quantum Wells, pp.766-770, 2007.
DOI : 10.1126/science.1148047

W. M. Koo and H. Saleur, Representations of the Virasoro algebra from lattice models, Nuclear Physics B, vol.426, issue.3, pp.459-504, 1994.
DOI : 10.1016/0550-3213(94)90018-3

B. Kramer, T. Ohtsuki, and S. Kettemann, Random network models and quantum phase transitions in two dimensions, Physics Reports, vol.417, issue.5-6, pp.211-342, 2005.
DOI : 10.1016/j.physrep.2005.07.001

A. Leclair and D. Bernard, Holographic classification of Topological Insulators and its 8-fold periodicity , ArXiv e-prints, available at 1205.3810, 2012.

A. Leclair, M. E. Peskin, and C. R. Preitschopf, String field theory on the conformal plane (I)., Nuclear Physics B, vol.317, issue.2, pp.411-463, 1989.
DOI : 10.1016/0550-3213(89)90075-8

D. C. Lewellen, Sewing constraints for conformal field theories on surfaces with boundaries, Nuclear Physics B, vol.372, issue.3, pp.654-682, 1992.
DOI : 10.1016/0550-3213(92)90370-Q

A. W. Ludwig, M. P. Fisher, R. Shankar, and G. Grinstein, Integer quantum Hall transition: An alternative approach and exact results, Physical Review B, vol.50, issue.11, pp.7526-7552, 1994.
DOI : 10.1103/PhysRevB.50.7526

J. B. Marston and S. Tsai, Chalker-Coddington Network Model is Quantum Critical, Physical Review Letters, vol.82, issue.24, pp.4906-4909, 1999.
DOI : 10.1103/PhysRevLett.82.4906

P. Martin and H. Saleur, The blob algebra and the periodic Temperley-Lieb algebra, Letters in Mathematical Physics, vol.285, issue.Suppl. 1 A, pp.189-206, 1994.
DOI : 10.1007/BF00805852

P. P. Martin, Potts Models and Related Problems in Statistical Mechanics, Series on Advances in Statistical Mechanics, World Scientific, 1991.
DOI : 10.1142/0983

A. D. Mirlin, F. Evers, and A. Mildenberger, Wavefunction statistics and multifractality at the spin quantum Hall transition, Journal of Physics A: Mathematical and General, vol.36, issue.12, p.3255, 2003.
DOI : 10.1088/0305-4470/36/12/323

A. D. Mirlin, A. Müller, ?. Groeling, and M. R. Zirnbauer, Conductance Fluctuations of Disordered Wires: Fourier Analysis on Supersymmetric Spaces, Annals of Physics, vol.236, issue.2, pp.325-373, 1994.
DOI : 10.1006/aphy.1994.1115

V. Mitev, T. Quella, and V. Schomerus, Principal chiral model on superspheres, J. High Energy Phys, p.86, 2008.

G. Moore and N. Seiberg, Lectures on RCFT, Physics, geometry, and topology, pp.263-361, 1990.
DOI : 10.1007/978-1-4615-3802-8_8

G. Mussardo, Statistical Field Theory: An Introduction to Exactly Solved Models in Statistical Physics, 2009.

M. Nakahara, Geometry, Topology, and Physics, Graduate Student Series in Physics, 2003.

C. Nayak, S. H. Simon, A. Stern, M. Freedman, and S. Sarma, Non-Abelian anyons and topological quantum computation, Reviews of Modern Physics, vol.80, issue.3, pp.1083-1159, 2008.
DOI : 10.1103/RevModPhys.80.1083
URL : http://arxiv.org/abs/0707.1889

T. Ng, Edge states in antiferromagnetic quantum spin chains, Physical Review B, vol.50, issue.1, pp.555-558, 1994.
DOI : 10.1103/PhysRevB.50.555

A. Nichols, V. Rittenberg, and J. De-gier, One-boundary Temperley???Lieb algebras in the XXZ and loop models, Journal of Statistical Mechanics: Theory and Experiment, vol.2005, issue.03, p.3003, 2005.
DOI : 10.1088/1742-5468/2005/03/P03003

B. Nienhuis, Models in Two Dimensions, Physical Review Letters, vol.49, issue.15, pp.1062-1065, 1982.
DOI : 10.1103/PhysRevLett.49.1062

H. Obuse, A. Furusaki, S. Ryu, and C. Mudry, Boundary criticality at the Anderson transition between a metal and a quantum spin Hall insulator in two dimensions, Physical Review B, vol.78, issue.11, p.115301, 2008.
DOI : 10.1103/PhysRevB.78.115301

H. Obuse, I. A. Gruzberg, and F. Evers, Finite-Size Effects and Irrelevant Corrections to Scaling Near the Integer Quantum Hall Transition, Physical Review Letters, vol.109, issue.20, pp.1205-2763, 2012.
DOI : 10.1103/PhysRevLett.109.206804

G. Parisi and N. Sourlas, Self avoiding walk and supersymmetry, Journal de Physique Lettres, vol.41, issue.17, pp.403-405, 1980.
DOI : 10.1051/jphyslet:019800041017040300
URL : https://hal.archives-ouvertes.fr/jpa-00231808

V. Pasquier and H. Saleur, Common structures between finite systems and conformal field theories through quantum groups, Nuclear Physics B, vol.330, issue.2-3, pp.523-556, 1990.
DOI : 10.1016/0550-3213(90)90122-T

P. A. Pearce, J. Rasmussen, and J. Zuber, Logarithmic minimal models, Journal of Statistical Mechanics: Theory and Experiment, vol.2006, issue.11, 2006.
DOI : 10.1088/1742-5468/2006/11/P11017
URL : https://hal.archives-ouvertes.fr/hal-00101696

A. M. Perelomov, Coherent states for arbitrary Lie group, Communications in Mathematical Physics, vol.6, issue.3, pp.222-236, 1972.
DOI : 10.1007/BF01645091

V. B. Petkova and J. Zuber, Conformal boundary conditions and what they teach us, Nonperturbative qft methods and their applications, pp.1-35, 2001.

A. M. Polyakov, Supermagnets and Sigma Models, Quarks, hadrons, and strong interactions, pp.409-428, 2006.

A. M. Pruisken, On localization in the theory of the quantized hall effect: A two-dimensional realization of the ??-vacuum, Nuclear Physics B, vol.235, issue.2, pp.277-298, 1984.
DOI : 10.1016/0550-3213(84)90101-9

S. Qin, T. Ng, and Z. Su, Edge states in open antiferromagnetic Heisenberg chains, Edge states in open antiferromagnetic Heisenberg chains, pp.12844-12848, 1995.
DOI : 10.1103/PhysRevB.52.12844

T. Quella, V. Schomerus, and T. Creutzig, Boundary spectra in superspace ?-models, J. High Energy Phys, pp.24-024, 2008.

L. Rastelli and B. Zwiebach, Tachyon potentials, star products and universality, Journal of High Energy Physics, vol.2001, issue.09, p.38, 2001.
DOI : 10.1088/1126-6708/2001/09/038

N. Read and S. Sachdev, Some features of the phase diagram of the square lattice SU(N) antiferromagnet, Nuclear Physics B, vol.316, issue.3, pp.609-640, 1989.
DOI : 10.1016/0550-3213(89)90061-8

N. Read and H. Saleur, Exact spectra of conformal supersymmetric nonlinear sigma models in two dimensions, Nuclear Physics B, vol.613, issue.3, pp.409-444, 2001.
DOI : 10.1016/S0550-3213(01)00395-9

I. Runkel, Boundary structure constants for the A-series Virasoro minimal models, Nuclear Physics B, vol.549, issue.3, pp.563-578, 1999.
DOI : 10.1016/S0550-3213(99)00125-X

I. Runkel, M. R. Gaberdiel, and S. Wood, Logarithmic bulk and boundary conformal field theory and the full centre construction, Conformal field theories and tensor categories, 2011.

B. E. Sagan, The Symmetric Group: Representations, Combinatorial Algorithms, and Symmetric Functions, Graduate Texts in Mathematics, vol.203, 2001.
DOI : 10.1007/978-1-4757-6804-6

H. Saleur, Super spin chains and super sigma models: a short introduction, Exact Methods in Low-Dimensional Statistical Physics and Quantum Computing: Lecture Notes of the Les Houches Summer School, 2008.

H. Saleur and M. Bauer, On some relations between local height probabilities and conformal invariance, Nuclear Physics B, vol.320, issue.3, pp.591-624, 1989.
DOI : 10.1016/0550-3213(89)90014-X

H. Saleur and B. Duplantier, Exact Determination of the Percolation Hull Exponent in Two Dimensions, Physical Review Letters, vol.58, issue.22, pp.2325-2328, 1987.
DOI : 10.1103/PhysRevLett.58.2325

A. P. Schnyder, S. Ryu, A. Furusaki, and A. W. Ludwig, Classification of Topological Insulators and Superconductors, American institute of physics conference series, pp.10-21, 2009.

V. Schomerus, Lectures on branes in curved backgrounds, Classical and Quantum Gravity, vol.19, issue.22, p.5781, 2002.
DOI : 10.1088/0264-9381/19/22/305

V. Schomerus and H. Saleur, The WZW-model: From supergeometry to logarithmic CFT, Nuclear Physics B, vol.734, issue.3, pp.221-245, 2006.
DOI : 10.1016/j.nuclphysb.2005.11.013

A. Sen, Open string field theory in a non-trivial background field, Nuclear Physics B, vol.334, issue.2, pp.350-394, 1990.
DOI : 10.1016/0550-3213(90)90483-T

T. Senthil, J. B. Marston, and M. P. Fisher, Spin quantum Hall effect in unconventional superconductors, Physical Review B, vol.60, issue.6, pp.4245-4254, 1999.
DOI : 10.1103/PhysRevB.60.4245

R. Shankar and N. Read, The ?? = ?? nonlinear sigma model is massless, Nuclear Physics B, vol.336, issue.3, pp.457-474, 1990.
DOI : 10.1016/0550-3213(90)90437-I

A. D. Sokal, The multivariate Tutte polynomial (alias Potts model) for graphs and matroids, p.503607, 2005.
DOI : 10.1017/CBO9780511734885.009

A. R. Subramaniam, I. A. Gruzberg, and A. W. Ludwig, Boundary criticality and multifractality at the two-dimensional spin quantum Hall transition, Physical Review B, vol.78, issue.24, p.245105, 2008.
DOI : 10.1103/PhysRevB.78.245105

H. N. Temperley and E. H. Lieb, Relations between the 'Percolation' and 'Colouring' Problem and other Graph-Theoretical Problems Associated with Regular Planar Lattices: Some Exact Results for the 'Percolation' Problem, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.322, issue.1549, pp.251-280, 1971.
DOI : 10.1098/rspa.1971.0067

D. J. Thouless, M. Kohmoto, and M. P. , Nightingale, and M. den Nijs, Quantized Hall Conductance in a Two-Dimensional Periodic Potential, Phys. Rev. Lett, pp.49-405, 1982.

R. Vasseur, J. L. Jacobsen, and H. Saleur, Indecomposability parameters in chiral logarithmic conformal field theory, Nuclear Physics B, vol.851, issue.2, pp.314-345, 2011.
DOI : 10.1016/j.nuclphysb.2011.05.018

G. Volovik, On edge states in superconductors with time inversion symmetry breaking, Journal of Experimental and Theoretical Physics Letters, vol.66, issue.7, pp.522-527, 1997.
DOI : 10.1134/1.567563

K. Klitzing, The quantized Hall effect, Reviews of Modern Physics, vol.58, issue.3, pp.519-531, 1986.
DOI : 10.1103/RevModPhys.58.519

F. Wegner, The mobility edge problem: Continuous symmetry and a conjecture, Zeitschrift f???r Physik B Condensed Matter and Quanta, vol.42, issue.3, pp.207-210, 1979.
DOI : 10.1007/BF01319839

H. A. Weidenmüller, Single electron in a random potential and a strong magnetic field, Nuclear Physics B, vol.290, issue.0, pp.87-110, 1987.
DOI : 10.1016/0550-3213(87)90179-9

E. Witten, Perturbative Gauge Theory as a String Theory in Twistor Space, Communications in Mathematical Physics, vol.0004, issue.1-3, pp.189-258, 2004.
DOI : 10.1007/s00220-004-1187-3

S. Xiong, N. Read, and A. D. Stone, Mesoscopic conductance and its fluctuations at a nonzero Hall angle, Physical Review B, vol.56, issue.7, pp.3982-4012, 1997.
DOI : 10.1103/PhysRevB.56.3982

Z. Yin, Conformal Invariance on Orbifolds and Excitations of Singularity, Modern Physics Letters A, pp.2089-2097, 2009.

C. M. Yung and M. T. Batchelor, Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices, Nuclear Physics B, vol.435, issue.3, pp.430-462, 1995.
DOI : 10.1016/0550-3213(94)00448-N

M. R. Zirnbauer, Fourier analysis on a hyperbolic supermanifold with constant curvature, Communications in Mathematical Physics, vol.167, issue.3, pp.503-522, 1991.
DOI : 10.1007/BF02102812