<title>Cosine transform generalized to lie groups SU(2)xSU(2), O(5), and SU(2)xSU(2)xSU(2): application to digital image processing</title>, Computational Imaging IV, 2006. ,
I. Bibliography and pseudo-Bibliography, Bibliography and Pseudo-Bibliography, pp.1-44, 1936. ,
Searches for Gravitational Waves from Compact Binary Coalescences with the LIGO and Virgo Detectors, Phys. Rev. Lett, vol.116, issue.6, p.61102, 2010. ,
URL : https://hal.archives-ouvertes.fr/in2p3-00533853
Visualizing the Ergosphere from Supermassive Black Hole M87 shadow image taken by Event Horizon Telescope ,
Search for a low mass standard model Higgs Boson with the ATLAS detector at the LHC, Physics Letters B, vol.716, issue.1, pp.1-29, 2013. ,
Evidence for oscillation of atmospheric neutrinos, Phys. Rev. Lett, vol.81, issue.8, pp.1562-1567, 1998. ,
Evidence for F-theory, Nuclear Physics B, vol.469, issue.3, pp.403-415, 1996. ,
Lectures on F-theory compactifications and model building, Classical and Quantum Gravity, vol.27, issue.21, p.214004, 2010. ,
URL : https://hal.archives-ouvertes.fr/hal-00638670
F-theory, SO(32) and toric geometry, Physics Letters B, vol.413, issue.1-2, pp.63-69, 1997. ,
K3 Surfaces, Modular Forms, and Non-Geometric Heterotic Compactifications, Letters in Mathematical Physics, vol.105, issue.8, pp.1085-1118, 2015. ,
Geometry of ?+ × E3(3) exceptional field theory and F-theory, Journal of High Energy Physics, vol.2019, issue.8, p.73, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02008815
F-theory and heterotic duality, Weierstrass models from Wilson lines, The European Physical Journal C, vol.80, issue.10, 2020. ,
URL : https://hal.archives-ouvertes.fr/hal-02383739
Fibration structure of K3 surfaces in F-theory as Z n shift vectors in the Heterotic String ,
Gauge Fields, Knots and Gravity, of Series on Knots and Everything. WORLD SCIENTIFIC, vol.4, 1994. ,
Spontaneous breaking of supersymmetry through dimensional reduction, Physics Letters B, vol.82, issue.1, pp.60-64, 1979. ,
How to get masses from extra dimensions, Nuclear Physics B, vol.153, pp.61-88, 1979. ,
Compact Riemannian 7-manifolds with holonomy $G_2$. I, Journal of Differential Geometry, vol.43, issue.2, pp.291-328, 1996. ,
String Theory Compactifications, SpringerBriefs in Physics, pp.1-74, 2017. ,
Basic Concepts of String Theory, 2013. ,
A symmetry of the string background field equations, Physics Letters B, vol.194, issue.1, pp.59-62, 1987. ,
Path-integral derivation of quantum duality in nonlinear sigma-models, Physics Letters B, vol.201, issue.4, pp.466-472, 1988. ,
Double field theory: a pedagogical review, Classical and Quantum Gravity, vol.30, issue.16, p.163001, 2013. ,
Magnetic Monopoles in Classical Electrodynamics, Classical Electrodynamics, pp.617-644, 2018. ,
, String Theory and M-Theory: A Modern Introduction, 2006.
Dirichlet Branes and Ramond-Ramond Charges, Physical Review Letters, vol.75, issue.26, pp.4724-4727, 1995. ,
Exotic branes in string theory, Physics Reports, vol.532, issue.3, pp.65-118, 2013. ,
Q7-branes and their coupling to IIB supergravity, Journal of High Energy Physics, vol.2007, issue.12, pp.079-079, 2007. ,
, TASI Lectures on F-theory, 2018.
Exotic branes in Exceptional Field Theory: E7(7) and beyond, Journal of High Energy Physics, vol.2018, issue.12, 2018. ,
Exotic branes in Exceptional Field Theory: the SL(5) duality group, Journal of High Energy Physics, vol.2018, issue.8, 2018. ,
Weaving the Exotic Web, Journal of High Energy Physics, issue.9, 2018. ,
Exotic branes and non-geometric fluxes, Journal of High Energy Physics, vol.2015, issue.3, 2015. ,
Unity of superstring dualities, Nuclear Physics B, vol.438, issue.1-2, pp.109-137, 1995. ,
NS5-Branes, T-Duality and Worldsheet Instantons, Journal of High Energy Physics, vol.2002, issue.07, pp.013-013, 2002. ,
Worldsheet instanton corrections to the Kaluza-Klein monopole, Journal of High Energy Physics, vol.2005, issue.10, pp.028-028, 2005. ,
The KK-monopole/NS5-brane in doubled geometry, Journal of High Energy Physics, vol.2011, issue.7, 2011. ,
Non-geometric branes are DFT monopoles, Journal of High Energy Physics, vol.2016, issue.10, 2016. ,
A new twist on heterotic string compactifications, Journal of High Energy Physics, issue.9, 2018. ,
Double field theory, Journal of High Energy Physics, vol.2009, issue.09, pp.099-099, 2009. ,
The gauge algebra of double field theory and Courant brackets, Journal of High Energy Physics, vol.2009, issue.09, pp.090-090, 2009. ,
Generalized Calabi-Yau Manifolds, The Quarterly Journal of Mathematics, vol.54, issue.3, pp.281-308, 2003. ,
Generalized complex geometry, Annals of Mathematics, vol.174, issue.1, pp.75-123, 2011. ,
A geometry for non-geometric string backgrounds, Journal of High Energy Physics, vol.2005, issue.10, pp.065-065, 2005. ,
Doubled geometry and T-folds, Journal of High Energy Physics, vol.2007, issue.07, pp.080-080, 2007. ,
Generalised T-duality and non-geometric backgrounds, Journal of High Energy Physics, vol.2006, issue.05, pp.009-009, 2006. ,
Gauge symmetry, T-duality and doubled geometry, Journal of High Energy Physics, vol.2008, issue.08, pp.043-043, 2008. ,
Flux compactifications of M-theory on twisted tori, Journal of High Energy Physics, vol.2006, issue.10, pp.086-086, 2006. ,
Duality invariant actions and generalised geometry, Journal of High Energy Physics, vol.2012, issue.2, 2012. ,
The local symmetries of M-theory and their formulation in generalised geometry, Journal of High Energy Physics, vol.2012, issue.1, 2012. ,
Generalized geometry and M theory, Journal of High Energy Physics, vol.2011, issue.6, 2011. ,
, Duality Invariance: From M-theory to Double Field Theory, 2011.
Background independent action for double field theory, Journal of High Energy Physics, vol.2010, issue.7, 2010. ,
Generalized metric formulation of double field theory, Journal of High Energy Physics, vol.2010, issue.8, 2010. ,
Exceptional field theory. I.E6(6)-covariant form of M-theory and type IIB, Physical Review D, vol.89, issue.6, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-02154741
Exceptional field theory. II.E7(7), Physical Review D, vol.89, issue.6, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-02154741
Exceptional field theory. III.E8(8), Physical Review D, vol.90, issue.6, 2014. ,
URL : https://hal.archives-ouvertes.fr/hal-02154741
Generalised geometry for M-theory, Journal of High Energy Physics, vol.2007, issue.07, pp.079-079, 2007. ,
M-theory, exceptional generalised geometry and superpotentials, Journal of High Energy Physics, vol.2008, issue.09, pp.123-123, 2008. ,
Generalised geometry and type II supergravity, Fortschritte der Physik, vol.60, issue.9-10, pp.982-986, 2012. ,
Unification of Type-II Strings andTDuality, Physical Review Letters, vol.107, issue.17, 2011. ,
Double field theory of type II strings, Journal of High Energy Physics, vol.2011, issue.9, 2011. ,
Supergravity as generalised geometry I: type II theories, Journal of High Energy Physics, vol.2011, issue.11, 2011. ,
The gauge structure of generalised diffeomorphisms, Journal of High Energy Physics, vol.2013, issue.1, 2013. ,
Massive type II in double field theory, Journal of High Energy Physics, vol.2011, issue.11, 2011. ,
U-dual fluxes and Generalized Geometry, Journal of High Energy Physics, vol.2010, issue.11, 2010. ,
E7(7)formulation ofN= 2 backgrounds, Journal of High Energy Physics, vol.2009, issue.07, pp.104-104, 2009. ,
$ {E_d}_{(d)}\times {{\mathbb{R}}^{+}} $ generalised geometry, connections and M theory, Journal of High Energy Physics, vol.2014, issue.2, 2014. ,
Spectrum-generating symmetries for BPS solitons, Nuclear Physics B, vol.520, issue.1-2, pp.132-156, 1998. ,
Supergravities without an action: Gauging the trombone, Nuclear Physics B, vol.811, issue.1-2, pp.1-35, 2009. ,
URL : https://hal.archives-ouvertes.fr/ensl-00325444
Tensor hierarchy and generalized Cartan calculus in SL(3) × SL(2) exceptional field theory, Journal of High Energy Physics, vol.2015, issue.4, 2015. ,
Exceptional field theory: SO(5,5), Journal of High Energy Physics, vol.2015, issue.6, 2015. ,
Exceptional field theory: SL(5), Journal of High Energy Physics, issue.2, 2016. ,
An action for F-theory: $\mathrm{SL}(2){{\mathbb{R}}}^{+}$ exceptional field theory, Classical and Quantum Gravity, vol.33, issue.19, p.195009, 2016. ,
The exceptional story of massive IIA supergravity, Journal of High Energy Physics, vol.2016, issue.8, 2016. ,
Exceptional generalised geometry for massive IIA and consistent reductions, Journal of High Energy Physics, vol.2016, issue.8, 2016. ,
URL : https://hal.archives-ouvertes.fr/hal-01414366
Extended geometry and gauged maximal supergravity, Journal of High Energy Physics, vol.2013, issue.6, 2013. ,
URL : https://hal.archives-ouvertes.fr/cea-01120289
Lectures on gauged supergravity and flux compactifications, Classical and Quantum Gravity, vol.25, issue.21, p.214002, 2008. ,
URL : https://hal.archives-ouvertes.fr/ensl-00315624
On Lagrangians and Gaugings of Maximal Supergravities, Nuclear Physics B, vol.655, issue.1-2, pp.93-126, 2003. ,
Critical points of maximal D=8 gauged supergravities, Journal of High Energy Physics, vol.2012, issue.1, 2012. ,
Seven-branes and supersymmetry, Journal of High Energy Physics, vol.2007, issue.02, pp.003-003, 2007. ,
Cadabra: a field-theory motivated symbolic computer algebra system, Computer Physics Communications, vol.176, issue.8, pp.550-558, 2007. ,
Cadabra: a field-theory motivated symbolic computer algebra system, Computer Physics Communications, vol.176, issue.8, pp.550-558, 2007. ,
?-supergravity: a ten-dimensional theory with non-geometric fluxes, and its geometric framework, Journal of High Energy Physics, vol.2013, issue.12, 2013. ,
Compactifications of F-Theory on Calabi-Yau Threefolds -I, Nuclear Physics B, vol.473, issue.1-2, pp.74-92, 1996. ,
Compactifications of F-Theory on Calabi-Yau Threefolds -II, Nuclear Physics B, vol.476, issue.3, pp.437-469, 1996. ,
Heterotic string/F-theory duality from mirror symmetry, Advances in Theoretical and Mathematical Physics, vol.2, issue.6, pp.1307-1372, 1998. ,
Geometries, non-geometries, and fluxes, Advances in Theoretical and Mathematical Physics, vol.14, issue.5, pp.1515-1583, 2010. ,
Prepotential, mirror map and $F$-theory on $K3$, Advances in Theoretical and Mathematical Physics, vol.2, issue.5, pp.1105-1140, 1998. ,
New heterotic string theories in uncompactified dimensions < 10, Physics Letters B, vol.169, issue.1, pp.41-46, 1986. ,
K3 surfaces and string duality, Surveys in Differential Geometry, vol.5, issue.1, pp.1-95, 1999. ,
Map of Heterotic and Type IIB Moduli in 8 Dimensions, Nuclear Physics B, vol.574, issue.1-2, pp.189-218, 2000. ,
Geometry, Topology and Physics, Second Edition, 2003. ,
Horton, Roger Graham, (born 11 June 1957), Chief Executive Officer, Taylor & Francis Group, since 2003, 2007. ,
Lectures on complex geometry, Calabi-Yau manifolds and toric geometry ,
The Geometry and Moduli of K3 Surfaces, Calabi-Yau Varieties: Arithmetic, Geometry and Physics, vol.34, pp.3-43, 2015. ,
, Arithmetic and Geometry of K3 Surfaces and Calabi?Yau Threefolds, Arithmetic and Geometry of K3 Surfaces and Calabi-Yau Threefolds. Fields Institute Communications, 2013.
, Calabi-Yau Varieties: Arithmetic, Geometry and Physics, Calabi-Yau Varieties: Arithmetic, Geometry and Physics: Lecture Notes on Concentrated Graduate Courses. Fields Institute Monographs, 2015.
Quantum Cohomology, Quantum Cohomology: Lectures given at the C.I.M.E. Summer School Held in, 2002. ,
, Lattice polarized toric K3 surfaces, 2004.
, Dual Polyhedra and Mirror Symmetry for Calabi-Yau Hypersurfaces in Toric Varieties, 1993.
Toric Varieties, 2011. ,
String dualities and toric geometry: an introduction, Chaos, Solitons & Fractals, vol.10, issue.2-3, pp.543-554, 1999. ,
F-theory on all toric hypersurface fibrations and its Higgs branches, Journal of High Energy Physics, vol.2015, issue.1, p.142, 2015. ,
Classification of reflexive polyhedra in three dimensions, Advances in Theoretical and Mathematical Physics, vol.2, issue.4, pp.853-871, 1998. ,
Duality Between the Webs of Heterotic and Type II Vacua, Nuclear Physics B, vol.511, issue.1-2, pp.295-325, 1998. ,
On Compact Analytic Surfaces: II, The Annals of Mathematics, vol.77, issue.3, p.563, 1963. ,
Modèles minimaux des variétés abéliennes sur les corps locaux et globaux, Publications mathématiques de l'IHÉS, vol.21, issue.1, pp.5-125, 1964. ,
Enhanced gauge symmetry in type II and F-theory compactifications: Dynkin diagrams from polyhedra, Nuclear Physics B, vol.505, issue.3, pp.679-700, 1997. ,
Mordell-Weil torsion and the global structure of gauge groups in F-theory, Journal of High Energy Physics, vol.2014, issue.10, p.16, 2014. ,
Geometric engineering in toric F-theory and GUTs with U(1) gauge factors, Journal of High Energy Physics, vol.2013, issue.12, 2013. ,
Discrete symmetries in Heterotic/F-theory duality and mirror symmetry, Journal of High Energy Physics, vol.2017, issue.6, p.156, 2017. ,
TASI Lectures on Abelian and Discrete Symmetries in F-theory, Proceedings of Theoretical Advanced Study Institute Summer School 2017 "Physics at the Fundamental Frontier" ? PoS(TASI2017), 2018. ,
Weierstrass models of elliptic toric $K3$ hypersurfaces and symplectic cuts, Advances in Theoretical and Mathematical Physics, vol.17, issue.4, pp.741-770, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-01202113
Type IIB flux vacua from G-theory I, Journal of High Energy Physics, vol.2015, issue.2, 2015. ,
Elliptic Surfaces, 2009. ,
Periods for Calabi-Yau and Landau-Ginzburg vacua, Nuclear Physics B, vol.419, issue.2, pp.352-403, 1994. ,
On the Duality between the Heterotic String and F-Theory in 8 Dimensions, Physics Letters B, vol.389, issue.3, pp.479-484, 1996. ,
, developers-reinventing-an-american-institution, SAGE Business Researcher
PALP ? a user manual, Strings, Gauge Fields, and the Geometry Behind, pp.461-550, 2012. ,
PALP: A Package for Analysing Lattice Polytopes with applications to toric geometry, Computer Physics Communications, vol.157, issue.1, pp.87-106, 2004. ,
Heterotic-type II duality, 1997. ,
Heterotic-type II duality, 1997. ,
Z8 and Z12 orbifold models, Physics Letters B, vol.227, issue.3-4, pp.381-386, 1989. ,
Dynkin diagram strategy for orbifolding with Wilson lines, Nuclear Physics B, vol.662, issue.3, pp.476-490, 2003. ,
Non-supersymmetric orbifolds, Nuclear Physics B, vol.634, issue.1-2, pp.51-70, 2002. ,
Heterotic SO(32) model building in four dimensions, J. High Energy Phys, issue.12, pp.63-063, 2004. ,
Exploring the SO(32) Heterotic String, J. High Energy Phys, issue.04, pp.50-050, 2006. ,
Modular curves and Mordell-Weil torsion in F-theory, Journal of High Energy Physics, vol.2020, issue.4, 2020. ,
Monnaie et société : une théorie économique en perspective ?, Revue de la régulation, issue.19, 2016. ,