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These are the lectures notes of the course given at the Eleventh Modave Summer School in Mathematical Physics, 2015, aimed at PhD candidates and junior researchers in theoretical physics.
G. Compère and D. Marolf, “Setting the boundary free in AdS/CFT”, Class. Quant. Grav
1902
Earlier work this paper cites.
E. Picard, “De l’intégration de l’equation Δ u = e u \Delta u=e^{u} sur une surface de Riemann fermée”, Crelle’s J. 130
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S. Novikov, “The Hamiltonian formalism and a many valued analog of Morse theory”, Usp. Mat. Nauk
1982
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S. Deser, R. Jackiw, and G. ’t Hooft, “Three-Dimensional Cosmological Gravity: Dynamics of Flat Space,” Annals Phys
1984
Earlier work this paper cites.
S. Deser and R. Jackiw, “Three-Dimensional Cosmological Gravity: Dynamics of Constant Curvature,” Annals Phys
1984
Earlier work this paper cites.
E. Witten, “Nonabelian Bosonization in Two-Dimensions”, Commun. Math.Phys
1984
Earlier work this paper cites.
R. Wald, General relativity
1984
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J. D. Brown and M. Henneaux, “Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity,” Commun.Math.Phys
1986
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A. Achucarro and P. Townsend, “A Chern-Simons Action for Three-Dimensional anti-De Sitter Supergravity Theories,” Phys.Lett
1986
Earlier work this paper cites.
A. Zamolodchikov, “Irreversibility of the Flux of the Renormalization Group in a 2D Field Theory”, JETP Lett
1986
Earlier work this paper cites.
J. Cardy, “Operator Content of Two-Dimensional Conformally Invariant Theories”, Nucl. Phys
1986
Earlier work this paper cites.
E. Witten, “(2+1)-Dimensional Gravity as an Exactly Soluble System,” Nucl.Phys
1988
Earlier work this paper cites.
M. P. Blencowe, “A Consistent Interacting Massless Higher Spin Field Theory In D = (2+1),” Class. Quant. Grav
1989
Earlier work this paper cites.
S. Elitzur, G. Moore, A. Schwimmer, and N. Seiberg, “Remarks on the Canonical Quantization of the Chern-Simons-Witten Theory”, Nucl. Phys
1989
Earlier work this paper cites.
G. Moore and N. Seiberg, “Taming the Conformal Zoo”, Phys. Lett
1989
Earlier work this paper cites.
P. Forgacs, A. Wipf, J. Balog, L. Feher, and L. O’Raifeartaigh, “Liouville and Toda Theories as Conformally Reduced WZNW Theories,” Phys.Lett
1989
Earlier work this paper cites.
A. Alekseev and S.L. Shatashvili, “Path Integral Quantization of the Coadjoint Orbits of the Virasoro Group and 2D Gravity,” Nucl. Phys
1989
Earlier work this paper cites.
M. Bershadsky and H. Ooguri, “Hidden SL(n) Symmetry in Conformal Field Theories,” Commun. Math. Phys
1989
Earlier work this paper cites.
E. Bergshoeff, M. P. Blencowe and K. S. Stelle, “Area Preserving Diffeomorphisms And Higher Spin Algebra,” Commun. Math. Phys
1990
Earlier work this paper cites.
J. Lützen, Joseph Liouville, 1809-1882: Master of pure and applied mathematics
1990
Earlier work this paper cites.
M. Bañados, C. Teitelboim and J. Zanelli, “The Black hole in three-dimensional space-time”, Phys. Rev. Lett
1992
Earlier work this paper cites.
M. Bañados, M. Henneaux, C. Teitelboim and J. Zanelli, “Geometry of the 2 + 1 2+1 black hole”, Phys. Rev
1993
Earlier work this paper cites.
S. Ross and R. Mann, “Gravitationally Collapsing Dust in (2+1) Dimensions”, Phys. Rev
1993
Earlier work this paper cites.
G. T. Horowitz and D. L. Welch, “Exact Three Dimensional Black Holes in String Theory”, Phys. Rev. Lett
1993
Cited alongside, same era.
O. Coussaert and M. Henneaux, “Supersymmetry of the 2+1 black holes”, Phys. Rev. Lett
1994
Cited alongside, same era.
O. Coussaert, M. Henneaux, and P. van Driel, “The Asymptotic dynamics of three-dimensional Einstein gravity with a negative cosmological constant,” Class.Quant.Grav
1995
Cited alongside, same era.
S. Carlip, “The (2+1)-Dimensional Black Hole”, Class. Quant. Grav
1995
Cited alongside, same era.
M. Bañados, “Global Charges in Chern-Simons theory and the 2+1 black hole”, Phys. Rev
1996
Cited alongside, same era.
P. Di Francesco, P. Mathieu and D. Sénéchal, Conformal Field Theory
G. Barnich and G. Compère, “Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions”, Class. Quant. Grav
2007
Later among the works it cites.
A. Maloney and E. Witten, “Quantum Gravity Partition Functions in Three Dimensions,” JHEP
2010
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
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1996
Cited alongside, same era.
A. Zamolodchikov and A. Zamolodchikov, “Structure constants and conformal bootstrap in Liouville field theory,” Nucl. Phys
1996
Cited alongside, same era.
A. Ashtekar, J. Bicak and B. Schmidt, “Asymptotic Structure of Symmetry Reduced General Relativity”, Phys. Rev
1997
Cited alongside, same era.
A. Strominger, “Black hole entropy from near horizon microstates,” JHEP
1998
Cited alongside, same era.
J. Maldacena and A. Strominger, “AdS3 Black Holes and a Stringy Exclusion Principle”, JHEP
1998
Cited alongside, same era.
M. Bañados, K. Bautier, O. Coussaert, M. Henneaux, and M. Ortiz, “Anti-de Sitter / CFT correspondence in three-dimensional supergravity,” Phys.Rev
1998
Cited alongside, same era.
S. Carlip, “What We Don’t Know about BTZ Black Hole Entropy”, Class. Quant. Grav
1998
Cited alongside, same era.
2011
Later among the works it cites.
2012
Later among the works it cites.
G. Barnich, “Entropy of three-dimensional asymptotically flat cosmological solutions”, JHEP
2012
Later among the works it cites.
2013
Later among the works it cites.
G. Compère, W. Song, and A. Strominger, “New Boundary Conditions for AdS3”, JHEP
2013
Later among the works it cites.
C. Troessaert, “Enhanced asymptotic symmetry algebra of AdS3”, JHEP
2013
Later among the works it cites.
G. Compère, W. Song, and A. Strominger, “Chiral Liouville Gravity”, JHEP
2013
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2013
Later among the works it cites.
2013
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
2014
Later among the works it cites.
L. Apolo and M. Porrati, “Free boundary conditions and the AdS 3 /CFT 2 correspondence”, JHEP
2014
Later among the works it cites.
2014
Later among the works it cites.
2015
Later among the works it cites.
J. Raeymaekers, “Quantization of conical spaces in 3D gravity”, JHEP
2015
Later among the works it cites.
2016
Closest in time.
V.G. Drinfeld and V.V. Sokolov, “Lie algebras and equations of Korteweg-de Vries type,” J. Sov. Math
2036
Closest in time.