Entanglement Entropy of Two Disjoint Blocks in Critical Ising Models, Phys. Rev. B, vol.81, issue.R, p.60411, 2010. ,
Entanglement Entropy of Two Disjoint Intervals in C=1 Theories, J. Stat. Mech, p.6012, 2011. ,
The Operator Content of the Exactly Integrable SU(N) Magnets, In: J. Phys. A: Math. Gen, vol.23, p.1079, 1990. ,
Entanglement of Low-Energy Excitations in Conformal Field Theory, Phys. Rev. Lett, vol.106, p.201601, 2011. ,
Bosonization on Higher Genus Riemann Surfaces, In: Commun. Math. Phys, vol.112, pp.503-552, 1987. ,
XVIII. The Bakerian Lecture.-On the Continuity of the Gaseous and Liquid States of Matter, en. In: Philosophical Transactions of the Royal Society of London, vol.159, pp.261-0523, 1869. ,
In: Modern Theories of Many-Particle Systems in Condensed Matter Physics, pp.245-294, 2012. ,
Efficient Management of Parallelism in Object Oriented Numerical Software Libraries, Modern Software Tools in Scientific Computing, pp.163-202, 1997. ,
PETSc Web Page ,
PETSc Users Manual, 2018. ,
In: Phase Transitions and Critical Phenomena, vol.8, pp.145-266, 1983. ,
Eight-Vertex Model in Lattice Statistics, In: Physical Review Letters, vol.26, pp.832-833, 1971. ,
Exactly Solved Models in Statistical Mechanics, 1982. ,
Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory, Nuclear Physics B, vol.241, issue.2, pp.550-3213, 1984. ,
Geodesic Description of Heavy-Light Virasoro Blocks, In: Journal of High Energy Physics, vol.2017, 2017. ,
, Correlation Functions with Fusion-Channel Multiplicity in W 3 Toda Field Theory." In: JHEP 06, p.137, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01380067
The W N Minimal Model Classification, In: Commun. Math. Phys, vol.312, pp.1432-0916, 2012. ,
Concentrating Partial Entanglement by Local Operations, Phys. Rev, vol.53, pp.2046-2052, 1996. ,
Entanglement of Excited States in Critical Spin Chains, J. Stat. Mech, vol.1201, p.1016, 2012. ,
Superconformal Symmetry in Two Dimensions, Physics Letters B, vol.151, issue.85, pp.90818-90822, 1985. ,
Zur Theorie der Metalle, de. In: Zeitschrift für Physik, vol.71, pp.44-3328, 1931. ,
Entanglement Entropy of Non-Unitary Integrable Quantum Field Theory, Nuclear Physics B, vol.896, pp.835-880, 2015. ,
Entanglement Entropy of Non Unitary Conformal Field Theory, J. Phys, vol.48, pp.4-5, 2015. ,
Entanglement Entropy from Corner Transfer Matrix in Forrester-Baxter Non-Unitary RSOS Models, In: Journal of Physics A: Mathematical and Theoretical, vol.49, p.154005, 2016. ,
Systematic Approach to Cyclic Orbifolds, In: International Journal of Modern Physics A, vol.13, pp.1793-656, 1998. ,
Coset Construction for Winding Subalgebras and Applications, 1996. ,
, Schoutens. W-Symmetry. en. World Scientific, 1995.
, W Symmetry in Conformal Field Theory, vol.223, p.90111, 1993.
Null Vectors of the W(3) Algebra, In: Phys. Lett, vol.297, issue.92, pp.91263-91272, 1992. ,
History of the Lenz-Ising Model, In: Reviews of Modern Physics, vol.39, pp.883-893, 1967. ,
Entanglement Entropy of Two Disjoint Intervals in Conformal Field Theory, J. Stat. Mech, p.11001, 2009. ,
Entanglement Entropy of Two Disjoint Intervals in Conformal Field Theory: II, J. Stat. Mech, p.1021, 2011. ,
Entanglement Entropies of the Quarter Filled Hubbard Model, In: Journal of Statistical Mechanics: Theory and Experiment, vol.9, p.9025, 2014. ,
Entanglement Entropy and Conformal Field Theory, J. Phys, vol.42, p.504005, 2009. ,
Entanglement Entropy and Quantum Field Theory, J. Stat. Mech, vol.0406, p.6002, 2004. ,
Form Factors of Branch-Point Twist Fields in Quantum Integrable Models and Entanglement Entropy, In: J. Statist. Phys, vol.130, pp.129-168, 2008. ,
Operator Content of Two-Dimensional Conformally Invariant Theories, Nuclear Physics B, vol.270, issue.86, pp.90552-90555, 1986. ,
Boundary Conditions, Fusion Rules and the Verlinde Formula, Nuclear Physics B, vol.324, issue.3, p.90521, 1989. ,
Les groupes de transformations continus, infinis, simples, Annales scientifiques de l'École Normale Supérieure, vol.26, pp.12-9593, 1909. ,
Arguments towards a C-Theorem from Branch-Point Twist Fields, J. Phys, vol.44, p.492003, 2011. ,
A Spin Chain Model with Non-Hermitian Interaction: The Ising Quantum Spin Chain in an Imaginary Field, In: Journal of Physics A: Mathematical and Theoretical, vol.42, p.465211, 2009. ,
Renormalization and Tensor Product States in Spin Chains and Lattices, In: J. Phys. A: Math. Theor, vol.42, p.504004, 2009. ,
, Complex Analysis. en, 1979.
On Rényi Entropies of Disjoint Intervals in Conformal Field Theory, In: Journal of Statistical Mechanics: Theory and Experiment, vol.1, p.1008, 2014. ,
Towards the Entanglement Negativity of Two Disjoint Intervals for a One Dimensional Free Fermion, In: Journal of Statistical Mechanics: Theory and Experiment, vol.3, p.33116, 2016. ,
Entanglement in Nonunitary Quantum Critical Spin Chains, Physical Review Letters, vol.119, issue.4, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01582439
Minimal Models on Hyperelliptic Surfaces, Physics Letters B, vol.220, issue.89, pp.90894-90894, 1989. ,
Approaching the Restricted Solid-on-Solid Critical Points through Entanglement: One Model for Many Universalities, Phys. Rev. B, vol.87, p.45118, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-01942016
SU(N) Lattice Integrable Models Associated with Graphs, In: Nuclear Physics B, vol.338, issue.3, p.90645, 1990. ,
Quantum Knizhnik-Zamolodchikov Equation, Generalized Razumov-Stroganov Sum Rules and Extended Joseph Polynomials, In: J. Phys. A: Math. Gen, vol.38, pp.815-822, 2005. ,
C= 1 Conformal Field Theories on Riemann Surfaces, Commun. Math. Phys, vol.115, pp.649-690, 1988. ,
The Conformal Field Theory of Orbifolds, Nuclear Physics B, vol.282, pp.90676-90682, 1987. ,
On Correlation Functions for Noncritical Strings with c ?1 but d ?1, In: Phys. Lett, vol.291, pp.39-43, 1992. ,
Four-Point Correlation Functions and the Operator Algebra in 2D Conformal Invariant Theories with Central Charge C?1, Nuclear Physics B, vol.251, issue.85, pp.80004-80007, 1985. ,
Hopf Algebras and the Quantum Yang-Baxter Equation, In: Sov.Math.Dokl, vol.32, pp.254-258, 1985. ,
Entanglement Entropies of Minimal Models from Null-Vectors, In: Sci-Post Physics, vol.4, issue.6, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01823267
The Fully Packed Loop Model as a Non-Rational W 3 Conformal Field Theory, In: Journal of Physics A: Mathematical and Theoretical, vol.49, pp.1751-8121, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01429889
Differential Equations for Characters of Virasoro and Affine Lie Algebras, In: Nuclear Physics B, vol.313, pp.492-508, 1989. ,
Area Laws for the Entanglement Entropy -a Review, In: Rev. Mod. Phys, vol.82, pp.277-306, 2010. ,
Shell-Filling Effect in the Entanglement Entropies of Spinful Fermions, In: Physical Review Letters, vol.110, p.115701, 2013. ,
Correlation Functions in Loop Models, physics:hep-th, physics:math-ph, 2015. ,
A2-Planar Algebras I, 2009. ,
Correlation Functions in Conformal Toda Field Theory I, p.2, 2007. ,
URL : https://hal.archives-ouvertes.fr/in2p3-00186526
Correlation Functions in Conformal Toda Field Theory II, p.33, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00333879
Conformal Quantum Field Theory Models in Two Dimensions Having Z 3 Symmetry, Nucl. Phys. B, vol.280, pp.644-660, 1987. ,
, Conformal Quantum Field Theory Models in Two Dimensions Having Z3 Symmetry, vol.280, pp.550-3213, 1987.
The Models of Two-Dimensional Conformal Quantum Field Theory with Z n Symmetry, In: International Journal of Modern Physics A, pp.507-520, 1988. ,
Conformal Invariance on the Light Cone and Canonical Dimensions, In: Nuclear Physics B, vol.34, issue.2, pp.90333-90339, 1971. ,
The Renormalization Group in the Theory of Critical Behavior, In: Reviews of Modern Physics, vol.46, pp.597-616, 1974. ,
The Coulomb Gas Representation of Critical RSOS Models on the Sphere and the Torus, Nucl. Phys. B, vol.324, pp.90525-90532, 1989. ,
, Lectures on Riemann Surfaces. en. Graduate Texts in Mathematics, 1981.
Relations between the Coulomb Gas Picture and Conformal Invariance of Two-Dimensional Critical Models, Journal of Statistical Physics, vol.49, pp.57-79, 1987. ,
Conformal Field Theory. en. Graduate Texts in Contemporary Physics, 1997. ,
Mutual Information and Boson Radius in C=1 Critical Systems in One Dimension, Phys. Rev. Lett, vol.102, p.170602, 2009. ,
A Rational Logarithmic Conformal Field Theory, Phys. Lett. B, vol.386, pp.131-137, 1996. ,
The Classification of Affine SU(3) Modular Invariant Partition Functions, In: Commun. Math. Phys, vol.161, pp.233-264, 1994. ,
The Theory of Vector-Modular Forms for the Modular Group, In: Contrib. Math. Comput. Sci, vol.8, pp.247-286, 2014. ,
, Lectures on Conformal Field Theory, p.77
Quantum Electrodynamics at Small Distances, Physical Review, vol.95, pp.1300-1312, 1954. ,
Curvature Formulas for Implicit Curves and Surfaces, In: Computer Aided Geometric Design. Geometric Modelling and Differential Geometry, vol.22, pp.167-8396, 2005. ,
Entanglement Renyi Entropies in Holographic Theories, Phys. Rev, vol.82, p.126010, 2010. ,
, Conformal Invariance and Critical Phenomena. en. Theoretical and Mathematical Physics, pp.978-981, 1999.
SLEPc: A Scalable and Flexible Toolkit for the Solution of Eigenvalue Problems, ACM Trans. Math. Softw, vol.31, issue.3, pp.351-362, 2005. ,
SLEPc: Scalable Library for Eigenvalue Problem Computations, High Performance Computing for Computational Science -VECPAR 2002, pp.377-391, 2002. ,
Geometric and Renormalized Entropy in Conformal Field Theory, Nucl. Phys. B, vol.424, pp.90402-90404, 1994. ,
Three-Point Functions in c = 1 Liouville Theory and Conformal Loop Ensembles, Phys. Rev. Lett, vol.116, p.130601, 2016. ,
URL : https://hal.archives-ouvertes.fr/cea-01468523
Beitrag zur Theorie des Ferromagnetismus, de. In: Zeitschrift für Physik, vol.31, issue.1, pp.44-3328, 1925. ,
Exact Valence Bond Entanglement Entropy and Probability Distribution in the $XXX$ Spin Chain and the Potts Model, In: Physical Review Letters, vol.100, p.87205, 2008. ,
URL : https://hal.archives-ouvertes.fr/hal-00189664
Quantum R-Matrix for the Generalized Toda System, In: Commun. Math. Phys, vol.102, pp.537-547, 1986. ,
Solvable Lattice Models Whose States Are Dominant Integral Weights of A n-1 (1) ,
, Lett. Math. Phys, vol.14, pp.123-131, 1987.
Local State Probabilities of Solvable Lattice Models: An A n-1 (1) Family, Nucl. Phys. B, vol.300, pp.74-108, 1988. ,
Highest Weight Representations Of Infinite Dimensional Lie Algebra, English. Singapore: Wspc, pp.978-9971, 1988. ,
Branching Functions for Winding Subalgebras and Tensor Products, Acta Applicandae Mathematica, vol.21, pp.1572-9036, 1990. ,
Scaling Laws for Ising Models near T c $, Physics Physique Fizika, vol.2, issue.6, pp.263-272, 1966. ,
Operator Algebra and the Determination of Critical Indices, In: Physical Review Letters, vol.23, pp.1430-1433, 1969. ,
More Is the Same; Phase Transitions and Mean Field Theories, In: Journal of Statistical Physics, vol.137, pp.777-797, 2009. ,
Analysis of Correlation Functions in Toda Theory and the Alday-Gaiotto-Tachikawa-Wyllard Relation for SU(3) Quiver, In: Physical Review D, vol.82, issue.6, p.66009, 2010. ,
Quantum Groups and Knot Invariants, 1997. ,
URL : https://hal.archives-ouvertes.fr/hal-00124690
Orbifolds by Cyclic Permutations of Tensor Product Conformal Field Theories, Physics Letters B, vol.245, pp.370-2693, 1990. ,
Analytic Fields on Riemann Surfaces. II, Communications in Mathematical Physics, vol.112, pp.1432-0916, 1987. ,
Operator Spectrum and Exact Exponents of the Fully Packed Loop Model, In: J. Phys. A: Math. Gen, vol.29, p.6489, 1996. ,
Statistics of the Two-Dimensional Ferromagnet. Part I, In: Physical Review, vol.60, issue.3, pp.252-262, 1941. ,
Spiders for Rank 2 Lie Algebras, In: Communications in Mathematical Physics, vol.180, issue.1, pp.10-3616, 1996. ,
Quantum Entanglement in Condensed Matter Systems, Physics Reports 646.Supplement C, pp.370-1573, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01384552
The Theory of Phase Transitions, en. In: Nature 138, vol.3498, pp.1476-4687, 1936. ,
Statistical Theory of Equations of State and Phase Transitions. II. Lattice Gas and Ising Model, In: Physical Review, vol.87, issue.3, pp.410-419, 1952. ,
Optimizing Momentum Space DMRG Using Quantum Information Entropy, 2003. ,
Quantum Data Compression, Quantum Information Generation, and the Density-Matrix Renormalization-Group Method, Phys. Rev. B, vol.70, p.205118, 2004. ,
Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State, In: Physical Review, vol.130, issue.4, pp.1605-1616, 1963. ,
Currents, Stress Tensor and Generalized Unitarity in Conformal Invariant Quantum Field Theory, Communications in Mathematical Physics, vol.27, pp.10-3616, 1972. ,
The Analytic Bootstrap Equations of Non-Diagonal Two-Dimensional CFT, 2017. ,
URL : https://hal.archives-ouvertes.fr/cea-01695664
Integrability and Conformal Data of the Dimer Model, In: Journal of Physics A: Mathematical and Theoretical, vol.49, p.174002, 2016. ,
Crystal Statistics. I. A Two-Dimensional Model with an Order-Disorder Transition, In: Physical Review, vol.65, pp.117-149, 1944. ,
Entanglement Entropy from the Truncated Conformal Space, In: Phys. Lett, vol.759, pp.439-445, 2016. ,
Lattice Derivation of Modular Invariant Partition Functions on the Torus, In: J. Phys. A: Math. Gen, vol.20, pp.1229-1237, 1987. ,
Operator Content of the ADE Lattice Models, en. In: Journal of Physics A: Mathematical and General, vol.20, p.5707, 1987. ,
Continuum Limit of Lattice Models Built on Quantum Groups, Nucl. Phys. B, vol.295, issue.88, pp.90532-90541, 1988. ,
Logarithmic Minimal Models, J. Stat. Mech, issue.0611, p.11017, 2006. ,
URL : https://hal.archives-ouvertes.fr/hal-00101696
On Ising's Model of Ferromagnetism, en. In: Mathematical Proceedings of the Cambridge Philosophical Society, vol.32, pp.1469-8064, 1936. ,
Promotion and Cyclic Sieving via Webs, 2008. ,
From CFT to Graphs, Nucl. Phys. B, vol.463, pp.161-193, 1996. ,
A Conformal Bootstrap Approach to Critical Percolation in Two Dimensions, In: SciPost Physics, vol.1, issue.1, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01396343
Entropy, Entanglement, and Area: Analytical Results for Harmonic Lattice Systems, Phys. Rev. Lett, vol.94, p.60503, 2005. ,
Kenneth Wilson in Moscow, 2015. ,
Conformal Symmetry of Critical Fluctuations, JETP Lett, vol.12, pp.381-383, 1970. ,
Entanglement Entropy of Two Disjoint Intervals from Fusion Algebra of Twist Fields, J. Stat. Mech, vol.1202, p.2016, 2012. ,
Exact Spectra of Conformal Supersymmetric Nonlinear Sigma Models in Two Dimensions, Nucl. Phys. B, vol.613, pp.409-444, 2001. ,
A New Exactly Solvable Case of an O(n) Model on a Hexagonal Lattice, In: J. Phys. A: Math. Gen, vol.24, p.2387, 1991. ,
Conformal Field Theory on the Plane, 2014. ,
URL : https://hal.archives-ouvertes.fr/cea-01062770
Liouville Theory with a Central Charge Less than One, In: Journal of High Energy Physics, vol.8, p.109, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01196718
SLEPc Users Manual, Sistemes Informàtics i Computació, 2018. ,
Rolling Tachyons from Liouville Theory, JHEP, issue.0311, p.43, 2003. ,
URL : https://hal.archives-ouvertes.fr/hal-00114883
, A Mathematical Introduction to Conformal Field Theory. en. 2nd ed. Lecture Notes in Physics. Berlin Heidelberg, 2008.
A Percolation Formula, en. In: Electronic Communications in Probability, vol.6, pp.115-120, 2001. ,
Exploration Trees and Conformal Loop Ensembles, EN. In: Duke Mathematical Journal, vol.147, issue.1, pp.79-129, 2009. ,
Solving the 3D Ising Model with the Conformal Bootstrap, In: Physical Review D, vol.86, issue.2, pp.1550-2368, 2012. ,
URL : https://hal.archives-ouvertes.fr/cea-00825766
Sewing Conformal Field Theories II, In: Nuclear Physics B, vol.311, issue.2, pp.90067-90070, 1988. ,
Entropy and Area, Phys. Rev. Lett, vol.71, p.666, 1993. ,
On the Liouville Three Point Function, In: Phys. Lett, vol.363, pp.65-70, 1995. ,
Matrix Product States, Projected Entangled Pair States, and Variational Renormalization Group Methods for Quantum Spin Systems, In: Adv. Phys, vol.57, p.143, 2008. ,
Entanglement in Quantum Critical Phenomena, Phys. Rev. Lett, vol.90, p.227902, 2003. ,
Thermodynamische Theorie Der Kapillarität Unter Voraussetzung Stetiger Dichteänderung, Zeitschrift für Physikalische Chemie 13U.1 (1894), pp.942-9352 ,
Solvable Lattice Models Labelled by Dynkin Diagrams, In: J. Phys. A: Math. Gen, vol.26, pp.2301-2316, 1993. ,
Consequences of Anomalous Ward Identities, Physics Letters B, vol.37, issue.1, pp.370-2693, 1971. ,
Density Matrix Formulation for Quantum Renormalization Groups, In: Physical Review Letters, vol.69, pp.2863-2866, 1992. ,
Non-Lagrangian Models of Current Algebra, In: Physical Review, vol.179, pp.1499-1512, 1969. ,
Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture, In: Physical Review B, vol.4, issue.9, pp.3174-3183, 1971. ,
Critical Exponents in 3.99 Dimensions, In: Physical Review Letters, vol.28, pp.31-9007, 1972. ,
Global Aspects of Current Algebra, Physics B, vol.223, issue.2, pp.90063-90072, 1983. ,
Two-Dimensional Algorithm of the Density-Matrix Renormalization Group, Phys. Rev. B, vol.64, p.104414, 2001. ,
Thermodynamics of a One-Dimensional System of Bosons with Repulsive Delta-Function Interaction, In: Journal of Mathematical Physics, vol.10, issue.7, pp.22-2488, 1969. ,
Infinite Additional Symmetries in Two-Dimensional Conformal Quantum Field Theory, In: Theor. Math. Phys, vol.65, pp.1573-9333, 1985. ,
Structure Constants and Conformal Bootstrap in Liouville Field Theory, In: Nuclear Physics B, vol.477, issue.2, pp.577-605, 1996. ,
Conformal Symmetry in Two Dimensions: An Explicit Recurrence Formula for the Conformal Partial Wave Amplitude, Communications in Mathematical Physics, vol.96, issue.3, pp.10-3616, 1984. ,
Conformal Scalar Field on the Hyperelliptic Curve and Critical Ashkin-Teller Multipoint Correlation Functions, In: Nuclear Physics B, vol.285, pp.90350-90356, 1987. ,
On the Three-Point Function in Minimal Liouville Gravity, In: Theor. Math. Phys, vol.142, p.183, 2005. ,
colophon "-Yet he would not die lying down; he would find some crag of rock, and there, his eyes fixed on the storm, trying to the end to pierce the darkness, he would die standing. He would never reach R, Virginia Woolf, vol.31, p.6747, 1998. ,