Built on

A. Alexandrov, F. Hernández Iglesias, and S. Shadrin, “Buryak-Okounkov formula for the n n -point function and a new proof of the Witten conjecture,” arXiv:1902.03160 [math.AG]
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.
J. Maldacena, G. J. Turiaci, and Z. Yang, “Two dimensional Nearly de Sitter gravity,” arXiv:1904.01911 [hep-th]
Original
1904
Earlier work this paper cites.
J. Cotler, K. Jensen, and A. Maloney, “Low-dimensional de Sitter quantum gravity,” arXiv:1905.03780 [hep-th]
Original
1905
Earlier work this paper cites.
D. Stanford and E. Witten, “JT Gravity and the Ensembles of Random Matrix Theory,” arXiv:1907.03363 [hep-th]
Original
1907
Earlier work this paper cites.
P. Saad, “Late Time Correlation Functions, Baby Universes, and ETH in JT Gravity,” arXiv:1910.10311 [hep-th]
Original
1910
Earlier work this paper cites.
A. Blommaert, T. G. Mertens, and H. Verschelde, “Eigenbranes in Jackiw-Teitelboim gravity,” arXiv:1911.11603 [hep-th]
Original
1911
Earlier work this paper cites.
K. Okuyama and K. Sakai, “JT gravity, KdV equations and macroscopic loop operators,” JHEP 01
Original
1911
Earlier work this paper cites.
G. Penington, S. H. Shenker, D. Stanford, and Z. Yang, “Replica wormholes and the black hole interior,” arXiv:1911.11977 [hep-th]
Original
1911
Earlier work this paper cites.
A. Almheiri, T. Hartman, J. Maldacena, E. Shaghoulian, and A. Tajdini, “Replica Wormholes and the Entropy of Hawking Radiation,” arXiv:1911.12333 [hep-th]
Original
1911
Earlier work this paper cites.
J. Cotler and K. Jensen, “Emergent unitarity in de Sitter from matrix integrals,” arXiv:1911.12358 [hep-th]
Original
1911
Earlier work this paper cites.
C. V. Johnson, “Non-Perturbative JT Gravity,” arXiv:1912.03637 [hep-th]
Original
1912
Earlier work this paper cites.
D. Kapec, R. Mahajan, and D. Stanford, “Matrix ensembles with global symmetries and ’t Hooft anomalies from 2d gauge theory,” arXiv:1912.12285 [hep-th]
Original
1912
Earlier work this paper cites.
I. Gelfand and L. Dikii, “Asymptotic behavior of the resolvent of Sturm-Liouville equations and the algebra of the Korteweg-De Vries equations,” Russ. Math. Surveys 30
1975
Earlier work this paper cites.
C. Teitelboim, “Gravitation and Hamiltonian Structure in Two Space-Time Dimensions,” Phys. Lett. 126B
1983
Earlier work this paper cites.
J. B. Hartle and S. W. Hawking, “Wave Function of the Universe,” Phys. Rev. D28
1983
Earlier work this paper cites.
R. Jackiw, “Lower Dimensional Gravity,” Nucl. Phys. B252
1985
Earlier work this paper cites.
S. R. Coleman, “Black Holes as Red Herrings: Topological Fluctuations and the Loss of Quantum Coherence,” Nucl. Phys. B307
1988
Earlier work this paper cites.
S. B. Giddings and A. Strominger, “Loss of Incoherence and Determination of Coupling Constants in Quantum Gravity,” Nucl. Phys. B307
1988
Earlier work this paper cites.
S. B. Giddings and A. Strominger, “Baby Universes, Third Quantization and the Cosmological Constant,” Nucl. Phys. B321
1989
Earlier work this paper cites.

Similar

J. Polchinski, “A Two-Dimensional Model for Quantum Gravity,” Nucl. Phys. B324
1989
Cited alongside, same era.
T. Banks, M. R. Douglas, N. Seiberg, and S. H. Shenker, “Microscopic and Macroscopic Loops in Nonperturbative Two-dimensional Gravity,” Phys. Lett. B238
1990
Cited alongside, same era.
J. Ambjorn, J. Jurkiewicz, and Yu. M. Makeenko, “Multiloop correlators for two-dimensional quantum gravity,” Phys. Lett. B251
1990
Cited alongside, same era.
E. Witten, “Two-dimensional gravity and intersection theory on moduli space,” Surveys Diff. Geom. 1
1991
Cited alongside, same era.
G. W. Moore, N. Seiberg, and M. Staudacher, “From loops to states in 2-D quantum gravity,” Nucl. Phys. B362
1991
Cited alongside, same era.

Then

J. M. Maldacena and L. Maoz, “Wormholes in AdS,” JHEP 02
2004
Later among the works it cites.
M. Aganagic, R. Dijkgraaf, A. Klemm, M. Marino, and C. Vafa, “Topological strings and integrable hierarchies,” Commun. Math. Phys. 261
2006
Later among the works it cites.
B. Eynard and N. Orantin, “Invariants of algebraic curves and topological expansion,” Commun. Num. Theor. Phys. 1
2007
Later among the works it cites.
M. Mirzakhani, “Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces,” Invent. Math. 167
2007
Later among the works it cites.
Cambridge University Press, 2007
O. Babelon, D. Bernard, and M. Talon, Introduction to Classical Integrable Systems · 2007
Later among the works it cites.
N. Arkani-Hamed, J. Orgera, and J. Polchinski, “Euclidean wormholes in string theory,” JHEP 12

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2020

Multi-boundary correlators in JT gravity

Okuyama, Kazumi, Sakai, Kazuhiro

Understand

We continue the systematic study of the thermal partition function of Jackiw-Teitelboim (JT) gravity started in [arXiv:1911.01659].

We generalize our analysis to the case of multi-boundary correlators with the help of the boundary creation operator.
We clarify how the Korteweg-de Vries constraints arise in the presence of multiple boundaries, deriving differential equations obeyed by the correlators.
The differential equations allow us to compute the genus expansion of the correlators up to any order without ambiguity.

Built on

A. Alexandrov, F. Hernández Iglesias, and S. Shadrin, “Buryak-Okounkov formula for the n n -point function and a new proof of the Witten conjecture,” arXiv:1902.03160 [math.AG]
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.
J. Maldacena, G. J. Turiaci, and Z. Yang, “Two dimensional Nearly de Sitter gravity,” arXiv:1904.01911 [hep-th]
Original
1904
Earlier work this paper cites.
J. Cotler, K. Jensen, and A. Maloney, “Low-dimensional de Sitter quantum gravity,” arXiv:1905.03780 [hep-th]
Original
1905
Earlier work this paper cites.
D. Stanford and E. Witten, “JT Gravity and the Ensembles of Random Matrix Theory,” arXiv:1907.03363 [hep-th]
Original
1907
Earlier work this paper cites.
P. Saad, “Late Time Correlation Functions, Baby Universes, and ETH in JT Gravity,” arXiv:1910.10311 [hep-th]
Original
1910
Earlier work this paper cites.
A. Blommaert, T. G. Mertens, and H. Verschelde, “Eigenbranes in Jackiw-Teitelboim gravity,” arXiv:1911.11603 [hep-th]
Original
1911
Earlier work this paper cites.
K. Okuyama and K. Sakai, “JT gravity, KdV equations and macroscopic loop operators,” JHEP 01
Original
1911
Earlier work this paper cites.
G. Penington, S. H. Shenker, D. Stanford, and Z. Yang, “Replica wormholes and the black hole interior,” arXiv:1911.11977 [hep-th]
Original
1911
Earlier work this paper cites.
A. Almheiri, T. Hartman, J. Maldacena, E. Shaghoulian, and A. Tajdini, “Replica Wormholes and the Entropy of Hawking Radiation,” arXiv:1911.12333 [hep-th]
Original
1911
Earlier work this paper cites.
J. Cotler and K. Jensen, “Emergent unitarity in de Sitter from matrix integrals,” arXiv:1911.12358 [hep-th]
Original
1911
Earlier work this paper cites.
C. V. Johnson, “Non-Perturbative JT Gravity,” arXiv:1912.03637 [hep-th]
Original
1912
Earlier work this paper cites.
D. Kapec, R. Mahajan, and D. Stanford, “Matrix ensembles with global symmetries and ’t Hooft anomalies from 2d gauge theory,” arXiv:1912.12285 [hep-th]
Original
1912
Earlier work this paper cites.
I. Gelfand and L. Dikii, “Asymptotic behavior of the resolvent of Sturm-Liouville equations and the algebra of the Korteweg-De Vries equations,” Russ. Math. Surveys 30
1975
Earlier work this paper cites.
C. Teitelboim, “Gravitation and Hamiltonian Structure in Two Space-Time Dimensions,” Phys. Lett. 126B
1983
Earlier work this paper cites.
J. B. Hartle and S. W. Hawking, “Wave Function of the Universe,” Phys. Rev. D28
1983
Earlier work this paper cites.
R. Jackiw, “Lower Dimensional Gravity,” Nucl. Phys. B252
1985
Earlier work this paper cites.
S. R. Coleman, “Black Holes as Red Herrings: Topological Fluctuations and the Loss of Quantum Coherence,” Nucl. Phys. B307
1988
Earlier work this paper cites.
S. B. Giddings and A. Strominger, “Loss of Incoherence and Determination of Coupling Constants in Quantum Gravity,” Nucl. Phys. B307
1988
Earlier work this paper cites.
S. B. Giddings and A. Strominger, “Baby Universes, Third Quantization and the Cosmological Constant,” Nucl. Phys. B321
1989
Earlier work this paper cites.

Similar

J. Polchinski, “A Two-Dimensional Model for Quantum Gravity,” Nucl. Phys. B324
1989
Cited alongside, same era.
T. Banks, M. R. Douglas, N. Seiberg, and S. H. Shenker, “Microscopic and Macroscopic Loops in Nonperturbative Two-dimensional Gravity,” Phys. Lett. B238
1990
Cited alongside, same era.
J. Ambjorn, J. Jurkiewicz, and Yu. M. Makeenko, “Multiloop correlators for two-dimensional quantum gravity,” Phys. Lett. B251
1990
Cited alongside, same era.
E. Witten, “Two-dimensional gravity and intersection theory on moduli space,” Surveys Diff. Geom. 1
1991
Cited alongside, same era.
G. W. Moore, N. Seiberg, and M. Staudacher, “From loops to states in 2-D quantum gravity,” Nucl. Phys. B362
1991
Cited alongside, same era.

Then

J. M. Maldacena and L. Maoz, “Wormholes in AdS,” JHEP 02
2004
Later among the works it cites.
M. Aganagic, R. Dijkgraaf, A. Klemm, M. Marino, and C. Vafa, “Topological strings and integrable hierarchies,” Commun. Math. Phys. 261
2006
Later among the works it cites.
B. Eynard and N. Orantin, “Invariants of algebraic curves and topological expansion,” Commun. Num. Theor. Phys. 1
2007
Later among the works it cites.
M. Mirzakhani, “Simple geodesics and Weil-Petersson volumes of moduli spaces of bordered Riemann surfaces,” Invent. Math. 167
2007
Later among the works it cites.
Cambridge University Press, 2007
O. Babelon, D. Bernard, and M. Talon, Introduction to Classical Integrable Systems · 2007
Later among the works it cites.
N. Arkani-Hamed, J. Orgera, and J. Polchinski, “Euclidean wormholes in string theory,” JHEP 12

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

M. Fukuma, H. Kawai, and R. Nakayama, “Continuum Schwinger-dyson Equations and Universal Structures in Two-dimensional Quantum Gravity,” Int. J. Mod. Phys. A6

1991

Cited alongside, same era.

R. Dijkgraaf, H. L. Verlinde, and E. P. Verlinde, “Loop equations and Virasoro constraints in nonperturbative 2-D quantum gravity,” Nucl. Phys. B348

1991

Cited alongside, same era.

C. Imbimbo and S. Mukhi, “String field theory in minimal model backgrounds and nonperturbative two-dimensional gravity,” Nucl. Phys. B364

1991

Cited alongside, same era.

M. Kontsevich, “Intersection theory on the moduli space of curves and the matrix Airy function,” Commun. Math. Phys. 147

1992

Cited alongside, same era.

arXiv:hep-th/9304011 [hep-th]

P. H. Ginsparg and G. W. Moore, “Lectures on 2-D gravity and 2-D string theory,” in Proceedings, Theoretical Advanced Study Institute (TASI 92): From Black Holes and Strings to Particles: Boulder, USA, June 1-26, 1992 · 1992

Cited alongside, same era.

C. Itzykson and J. B. Zuber, “Combinatorics of the modular group. 2. The Kontsevich integrals,” Int. J. Mod. Phys. A7

1992

Cited alongside, same era.

A. Sen, “Virasoro constraints on the matrix model partition function and string field theory,” Int. J. Mod. Phys. A7

1992

Cited alongside, same era.

Original

2007

Later among the works it cites.

I. Kostov, “Matrix models as CFT: Genus expansion,” Nucl. Phys. B837

Original