Fetching the paper…
Reading the bibliography…
We perform a canonical quantization of pure gravity on AdS3 using as a technical tool its equivalence at the classical level with a Chern-Simons theory with gauge group SL(2,R)xSL(2,R).
F. A. E. Pirani and A. Schild, “On the Quantization of Einstein’s Gravitational Field Equations,” Phys. Rev. 79
1960
Earlier work this paper cites.
R. Fricke and F. Klein, Vorlesungen uber die Theorie der Automorphen Funktionen
1965
Earlier work this paper cites.
B.S. DeWitt, “Quantum Theory of Gravity. I. The Canonical Theory,” Phys. Rev. 160
1967
Earlier work this paper cites.
L. Keen, “A rough fundamental domain for Teichmuller spaces,” Bull. Amer. Math. Soc. 83
1977
Earlier work this paper cites.
S. Deser, R. Jackiw and S. Templeton, “Topologically Massive Gauge Theories,” Annals Phys. 140
1982
Earlier work this paper cites.
S. Wolpert, “On the Kähler form of the moduli space of once punctured tori,” Comment. Math. Helvetici 58
1983
Earlier work this paper cites.
A. A. Belavin, A. M. Polyakov and A. B. Zamolodchikov, “Infinite Conformal Symmetry in Two-Dimensional Quantum Field Theory,” Nucl. Phys. B 241
1984
Earlier work this paper cites.
W. M. Goldman, “The symplectic nature of fundamental groups of surfaces,” Adv. in Math. 54
1984
Earlier work this paper cites.
E. Witten, “Nonabelian Bosonization in Two-Dimensions,” Commun. Math. Phys. 92
1984
Earlier work this paper cites.
D. Friedan, Z. A. Qiu and S. H. Shenker, “Conformal Invariance, Unitarity and Two-Dimensional Critical Exponents,” Phys. Rev. Lett. 52
1984
Earlier work this paper cites.
D. Quillen, “Determinants of Cauchy-Riemann operators over a Riemann surface,” Functional Analysis and Its Application 19
1985
Earlier work this paper cites.
S. A. Wolpert, “On the Weil-Petersson geometry of the moduli space of curves.” Am. J. Math., 969 (1985)
1985
Earlier work this paper cites.
A. Achucarro and P. K. Townsend, “A Chern-Simons Action for Three-Dimensional anti-De Sitter Supergravity Theories,” Phys. Lett. B 180
1986
Earlier work this paper cites.
J. D. Brown and M. Henneaux, “Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three Dimensional Gravity,” Commun. Math. Phys. 104
1986
Earlier work this paper cites.
A. Pressley and G. B. Segal, Loop groups
1986
Earlier work this paper cites.
A. G. Cohen, G. W. Moore, P. C. Nelson and J. Polchinski, “An Off-Shell Propagator for String Theory,” Nucl. Phys. B 267
1986
Earlier work this paper cites.
J. L. Cardy, “Operator Content of Two-Dimensional Conformally Invariant Theories,” Nucl. Phys. B 270
1986
Earlier work this paper cites.
1987
Earlier work this paper cites.
N. J. Hitchin, “The self-duality equations on a Riemann surface.” Proc. London Math. Soc. 55.3
1987
Earlier work this paper cites.
S. A. Wolpert, “Asymptotics of the Spectrum and the Selberg Zeta Function on the Space of Riemann surfaces,� Commun. Math. Phys. 112
1987
Earlier work this paper cites.
E. Gava and R. Jengo, “On The Cosmological Constant In The Heterotic String Theory,” Phys. Lett. B 187
1987
Earlier work this paper cites.
E. Witten, “(2+1)-Dimensional Gravity as an Exactly Soluble System,” Nucl. Phys. B 311
1988
Earlier work this paper cites.
P. G. Zograf and L. A. Takhtadzhyan. ”On uniformization of Riemann surfaces and the Weil-Petersson metric on Teichmüller and Schottky spaces.” Mathematics of the USSR-Sbornik 60, no. 2 (1988): 297
1988
Earlier work this paper cites.
J. D. Brown and C. Teitelboim, “Dynamical Neutralization of the Cosmological Constant,” Phys. Lett. B 195
1988
Earlier work this paper cites.
E. Witten, “Quantum Field Theory and the Jones Polynomial,” Commun. Math. Phys. 121(1989), 351-399
1989
Earlier work this paper cites.
S. Elitzur, G. Moore, A. Schwimmer, N. Seiberg, “Remarks on the Canonical Quantization of the Chern-Simons-Witten Theory,” Nucl. Phys. B326(1989) 108-134
1989
Earlier work this paper cites.
E. Witten, “Topology Changing Amplitudes in (2+1)-Dimensional Gravity,” Nucl. Phys. B 323
1989
Earlier work this paper cites.
V. Moncrief, “Reduction of the Einstein equations in (2+1)-dimensions to a Hamiltonian system over Teichmuller space,” J. Math. Phys. 30
1989
Cited alongside, same era.
J. Distler and H. Kawai, “Conformal Field Theory and 2D Quantum Gravity Or Who’s Afraid of Joseph Liouville?,” Nucl. Phys. B 321
1989
Cited alongside, same era.
H. Verlinde, “Conformal Field Theory, Two-dimensional Quantum Gravity and Quantization of Teichmuller Space,” Nucl. Phys. B337(1990), 632-680
1990
Cited alongside, same era.
N. Seiberg, “Notes on quantum Liouville theory and quantum gravity,” Prog. Theor. Phys. Suppl. 102
1990
Cited alongside, same era.
S. Axelrod, S. Della Pietra and E. Witten, “Geometric Quantization of Chern-Simons Gauge Theory,” J. Diff. Geom. 33
1991
Cited alongside, same era.
G. Mess, “Lorentz spacetimes of constant curvature,” Geom. Dedicata ] 126
2007
Later among the works it cites.
C. Meusburger, “Geometrical (2+1)-gravity and the Chern-Simons formulation: Grafting, Dehn twists, Wilson loop observables and the cosmological constant,” Commun. Math. Phys. 273
2007
Later among the works it cites.
R. Dey, “Hyperkähler quantization of the Hitchin system and Chern-Simons theory with complex gauge group,” Adv. Theor. Math. Phys. 11
2007
Later among the works it cites.
M. Mirzakhani, “Weil-Petersson volumes and intersection theory on the moduli space of curves,” J. Am. Math. Soc. 20
2007
Later among the works it cites.
W. Li, W. Song and A. Strominger, “Chiral Gravity in Three Dimensions,” JHEP 0804
2008
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
H. M. Farkas and I. Kra, Riemann surfaces,
1992
Cited alongside, same era.
K. Amano and S. Higuchi, “Topology change in ISO(2,1) Chern-Simons gravity,” Nucl. Phys. B 377
1992
Cited alongside, same era.
S. Carlip and R. Cosgrove, “Topology change in (2+1)-dimensional gravity,” J. Math. Phys. 35
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. 12
1995
Cited alongside, same era.
R. M. Kashaev, “Quantization of Teichmueller spaces and the quantum dilogarithm,” Lett. Math. Phys. 43
1998
Cited alongside, same era.
D. R. Brill, “Multi - black hole geometries in (2+1)-dimensional gravity,” Phys. Rev. D 53
1998
Cited alongside, same era.
A. Strominger, “Black hole entropy from near horizon microstates,” JHEP 9802
1998
Cited alongside, same era.
T. Barbot, “Causal properties of AdS-isometry groups. II. BTZ multi black-holes,” Adv. Theor. Math. Phys. 12
2008
Later among the works it cites.
X. Yin, “On Non-handlebody Instantons in 3D Gravity,” JHEP 0809
2008
Later among the works it cites.
2009
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
2010
Later among the works it cites.
A. Maloney and E. Witten, “Quantum Gravity Partition Functions in Three Dimensions,” JHEP 1002
2010
Later among the works it cites.
2010
Later among the works it cites.
2011
Later among the works it cites.
Y. Terashima and M. Yamazaki, “SL(2,R) Chern-Simons, Liouville, and Gauge Theory on Duality Walls,” JHEP 1108
2011
Later among the works it cites.
2012
Later among the works it cites.
M. Bañados, C. Teitelboim and J. Zanelli, “Black Hole in Three-Dimensional Spacetime,” Phys. Rev. Lett. 69
2013
Later among the works it cites.
2013
Later among the works it cites.
2013
Later among the works it cites.
P. Menotti, “Riemann-Hilbert treatment of Liouville theory on the torus,” J. Phys. A 44
2013
Later among the works it cites.
2013
Later among the works it cites.
2015
Closest in time.
J. Kim and M. Porrati, “Long string dynamics in pure gravity on AdS 3
2015
Closest in time.