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2021

The two-sphere partition function in two-dimensional quantum gravity

Anninos, Dionysios, Bautista, Teresa, Mühlmann, Beatrix

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We study the Euclidean path integral of two-dimensional quantum gravity with positive cosmological constant coupled to conformal matter with large and positive central charge.

The problem is considered in a semiclassical expansion about a round two-sphere saddle.
We work in the Weyl gauge whereby the computation reduces to that for a (timelike) Liouville theory.
We present results up to two-loops, including a discussion of contributions stemming from the gauge fixing procedure.

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G. Compere and D. Marolf, “Setting the boundary free in AdS/CFT,” Class. Quant. Grav. 25
Original
1902
Earlier work this paper cites.
P. Saad, S. H. Shenker and D. Stanford, “JT gravity as a matrix integral,” [arXiv:1903.11115 [hep-th]]
Original
1903
Earlier work this paper cites.
T. Bautista, A. Dabholkar and H. Erbin, “Quantum Gravity from Timelike Liouville theory,” JHEP 10
Original
1905
Earlier work this paper cites.
C. V. Johnson, “Nonperturbative Jackiw-Teitelboim gravity,” Phys. Rev. D 101
Original
1912
Earlier work this paper cites.
G. W. Gibbons and S. W. Hawking, “Action Integrals and Partition Functions in Quantum Gravity,” Phys. Rev. D 15
1977
Earlier work this paper cites.
G. W. Gibbons and S. W. Hawking, “Cosmological Event Horizons, Thermodynamics, and Particle Creation,” Phys. Rev. D 15
1977
Earlier work this paper cites.
V. N. Gribov, “Quantization of Nonabelian Gauge Theories,” Nucl. Phys. B 139
1978
Earlier work this paper cites.
G. W. Gibbons, S. W. Hawking and M. J. Perry, “Path Integrals and the Indefiniteness of the Gravitational Action,” Nucl. Phys. B 138
1978
Earlier work this paper cites.
A. M. Polyakov, “Quantum Geometry of Bosonic Strings,” Phys. Lett. B 103
1981
Earlier work this paper cites.
A. B. Zamolodchikov, “On The Entropy Of Random Surfaces,” Phys. Lett. 117B
1982
Earlier work this paper cites.
L. Bombelli, R. K. Koul, J. Lee and R. D. Sorkin, “A Quantum Source of Entropy for Black Holes,” Phys. Rev. D 34
1986
Earlier work this paper cites.
F. David, “Conformal Field Theories Coupled to 2D Gravity in the Conformal Gauge,” Mod. Phys. Lett. A 3
1988
Earlier work this paper cites.
V. G. Knizhnik, A. M. Polyakov and A. B. Zamolodchikov, “Fractal Structure of 2D Quantum Gravity,” Mod. Phys. Lett. A 3
1988
Earlier work this paper cites.
S. R. Coleman, “Why There Is Nothing Rather Than Something: A Theory of the Cosmological Constant,” Nucl. Phys. B 310
1988
Earlier work this paper cites.
J. Polchinski, “A Two-Dimensional Model for Quantum Gravity,” Nucl. Phys. B 324
1989
Earlier work this paper cites.
J. Distler and H. Kawai, “Conformal Field Theory and 2D Quantum Gravity,” Nucl. Phys. B 321
1989
Earlier work this paper cites.
J. Polchinski, “The Phase of the Sum Over Spheres,” Phys. Lett. B 219
1989
Earlier work this paper cites.
E. D’Hoker and P. S. Kurzepa, Mod. Phys. Lett. A 5
1990
Earlier work this paper cites.

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1990
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E. D’Hoker, “Equivalence of Liouville theory and 2-D quantum gravity,” Mod. Phys. Lett. A 6
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Cited alongside, same era.
M. Srednicki, “Entropy and area,” Phys. Rev. Lett. 71
1993
Cited alongside, same era.
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1994
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1995

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Later among the works it cites.
N. Afkhami-Jeddi, H. Cohn, T. Hartman and A. Tajdini, “Free partition functions and an averaged holographic duality,” JHEP 01
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Later among the works it cites.
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Original
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Later among the works it cites.
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2009
Later among the works it cites.
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2003

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