Built on

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.
G. Penington, “Entanglement Wedge Reconstruction and the Information Paradox,” arXiv:1905.08255 [hep-th]
Original
1905
Earlier work this paper cites.
A. Almheiri, N. Engelhardt, D. Marolf, and H. Maxfield, “The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole,” arXiv:1905.08762 [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.
C. Sünderhauf, L. Piroli, X.-L. Qi, N. Schuch, and J. I. Cirac, “Quantum chaos in the Brownian SYK model with large finite N N : OTOCs and tripartite information,” JHEP
Original
1908
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. Almheiri, T. Hartman, J. Maldacena, E. Shaghoulian, and A. Tajdini, “Replica Wormholes and the Entropy of Hawking Radiation,” JHEP
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.
C. Teitelboim, “Gravitation and Hamiltonian Structure in Two Space-Time Dimensions,” Phys. Lett
1983
Earlier work this paper cites.
R. Jackiw, “Lower Dimensional Gravity,” Nucl. Phys
1985
Earlier work this paper cites.
T. Dray and G. ’t Hooft, “The Gravitational Shock Wave of a Massless Particle,” Nucl. Phys. B
1985
Earlier work this paper cites.
G. ’t Hooft, “The black hole interpretation of string theory,” Nucl. Phys. B
1990
Earlier work this paper cites.

Similar

D. N. Kabat and M. Ortiz, “Eikonal quantum gravity and Planckian scattering,” Nucl. Phys. B
1992
Cited alongside, same era.
D. N. Page, “Average entropy of a subsystem,” Phys. Rev. Lett
1993
Cited alongside, same era.
S. Sachdev and J.-w. Ye, “Gapless spin fluid ground state in a random, quantum Heisenberg magnet,” Phys. Rev. Lett
1993
Cited alongside, same era.
B. Collins, “Moments and cumulants of polynomial random variables on unitarygroups, the itzykson-zuber integral, and free probability,” International Mathematics Research Notices
2003
Cited alongside, same era.
B. Collins and P. Śniady, “Integration with respect to the haar measure on unitary, orthogonal and symplectic group,” Communications in Mathematical Physics
2006
Cited alongside, same era.

Then

S. H. Shenker and D. Stanford, “Stringy effects in scrambling,” JHEP
Original
2015
Later among the works it cites.
P. Hosur, X.-L. Qi, D. A. Roberts, and B. Yoshida, “Chaos in quantum channels,” JHEP
Original
2016
Later among the works it cites.
J. Maldacena, D. Stanford, and Z. Yang, “Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space,” PTEP
Original
2016
Later among the works it cites.
A. Nahum, J. Ruhman, S. Vijay, and J. Haah, “Quantum entanglement growth under random unitary dynamics,” Physical Review X
2017
Later among the works it cites.
D. A. Roberts and B. Yoshida, “Chaos and complexity by design,” JHEP
Original

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2021

Subleading Weingartens

Stanford, Douglas, Yang, Zhenbin, Yao, Shunyu

Understand

Haar integrals over the unitary group contain subleading terms that are needed for unitarity.

We study analogous effects in the time evolution operators of JT gravity and Brownian SYK.
In JT gravity with bulk matter we find an explanation for the first subleading terms, and in Brownian SYK we find configurations that can explain the full series.
An important role is played by slightly off-shell modes that are exponentially amplified by chaos.

Built on

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.
G. Penington, “Entanglement Wedge Reconstruction and the Information Paradox,” arXiv:1905.08255 [hep-th]
Original
1905
Earlier work this paper cites.
A. Almheiri, N. Engelhardt, D. Marolf, and H. Maxfield, “The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole,” arXiv:1905.08762 [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.
C. Sünderhauf, L. Piroli, X.-L. Qi, N. Schuch, and J. I. Cirac, “Quantum chaos in the Brownian SYK model with large finite N N : OTOCs and tripartite information,” JHEP
Original
1908
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. Almheiri, T. Hartman, J. Maldacena, E. Shaghoulian, and A. Tajdini, “Replica Wormholes and the Entropy of Hawking Radiation,” JHEP
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.
C. Teitelboim, “Gravitation and Hamiltonian Structure in Two Space-Time Dimensions,” Phys. Lett
1983
Earlier work this paper cites.
R. Jackiw, “Lower Dimensional Gravity,” Nucl. Phys
1985
Earlier work this paper cites.
T. Dray and G. ’t Hooft, “The Gravitational Shock Wave of a Massless Particle,” Nucl. Phys. B
1985
Earlier work this paper cites.
G. ’t Hooft, “The black hole interpretation of string theory,” Nucl. Phys. B
1990
Earlier work this paper cites.

Similar

D. N. Kabat and M. Ortiz, “Eikonal quantum gravity and Planckian scattering,” Nucl. Phys. B
1992
Cited alongside, same era.
D. N. Page, “Average entropy of a subsystem,” Phys. Rev. Lett
1993
Cited alongside, same era.
S. Sachdev and J.-w. Ye, “Gapless spin fluid ground state in a random, quantum Heisenberg magnet,” Phys. Rev. Lett
1993
Cited alongside, same era.
B. Collins, “Moments and cumulants of polynomial random variables on unitarygroups, the itzykson-zuber integral, and free probability,” International Mathematics Research Notices
2003
Cited alongside, same era.
B. Collins and P. Śniady, “Integration with respect to the haar measure on unitary, orthogonal and symplectic group,” Communications in Mathematical Physics
2006
Cited alongside, same era.

Then

S. H. Shenker and D. Stanford, “Stringy effects in scrambling,” JHEP
Original
2015
Later among the works it cites.
P. Hosur, X.-L. Qi, D. A. Roberts, and B. Yoshida, “Chaos in quantum channels,” JHEP
Original
2016
Later among the works it cites.
J. Maldacena, D. Stanford, and Z. Yang, “Conformal symmetry and its breaking in two dimensional Nearly Anti-de-Sitter space,” PTEP
Original
2016
Later among the works it cites.
A. Nahum, J. Ruhman, S. Vijay, and J. Haah, “Quantum entanglement growth under random unitary dynamics,” Physical Review X
2017
Later among the works it cites.
D. A. Roberts and B. Yoshida, “Chaos and complexity by design,” JHEP
Original

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

A. Blommaert, “Dissecting the ensemble in JT gravity,” arXiv:2006.13971 [hep-th]

Original

2006

Cited alongside, same era.

P. Hayden and J. Preskill, “Black holes as mirrors: Quantum information in random subsystems,” JHEP

Original

2007

Cited alongside, same era.

S.-K. Jian and B. Swingle, “Note on entropy dynamics in the Brownian SYK model,” arXiv:2011.08158 [cond-mat.stat-mech]

Original

2011

Cited alongside, same era.

S. H. Shenker and D. Stanford, “Black holes and the butterfly effect,” JHEP

Original

2014

Cited alongside, same era.

Talk given at the Fundamental Physics Prize Symposium, Nov. 10, 2014

A. Kitaev. https://www.youtube.com/watch?v=OQ9qN8j7EZI · 2014

Cited alongside, same era.

A. Almheiri and J. Polchinski, “Models of ads 2 backreaction and holography,” Journal of High Energy Physics

2015

Cited alongside, same era.

A. Kitaev, “A simple model of quantum holography talk1 and talk2 .”. Talks at KITP, April 7, 2015 and May 27, 2015

2015

Cited alongside, same era.

2017

Later among the works it cites.

C. Von Keyserlingk, T. Rakovszky, F. Pollmann, and S. L. Sondhi, “Operator hydrodynamics, otocs, and entanglement growth in systems without conservation laws,” Physical Review X

2018

Later among the works it cites.

A. Nahum, S. Vijay, and J. Haah, “Operator spreading in random unitary circuits,” Physical Review X

2018

Later among the works it cites.

A. Kitaev and S. J. Suh, “The soft mode in the Sachdev-Ye-Kitaev model and its gravity dual,” JHEP

Original

2018

Later among the works it cites.

Z. Yang, “The Quantum Gravity Dynamics of Near Extremal Black Holes,” JHEP

Original

2019