Virasoro conformal blocks and thermality from classical background fields

Fitzpatrick, A. Liam; Kaplan, Jared; Walters, Matthew T.

doi:10.1007/JHEP11(2015)200

Virasoro conformal blocks and thermality from classical background fields

Journal Article · Mon Nov 30 00:00:00 EST 2015 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP11(2015)200· OSTI ID:1238365

Fitzpatrick, A. Liam ^[1]; Kaplan, Jared ^[2]; Walters, Matthew T. ^[3]

Stanford Univ., Stanford, CA (United States); SLAC National Accelerator Lab., Menlo Park, CA (United States)
Johns Hopkins Univ., Baltimore, MD (United States)
Boston Univ., Boston, MA (United States)

We show that in 2d CFTs at large central charge, the coupling of the stress tensor to heavy operators can be re-absorbed by placing the CFT in a non-trivial background metric. This leads to a more precise computation of the Virasoro conformal blocks between heavy and light operators, which are shown to be equivalent to global conformal blocks evaluated in the new background. We also generalize to the case where the operators carry U(1) charges. The refined Virasoro blocks can be used as the seed for a new Virasoro block recursion relation expanded in the heavy-light limit. Furthermore, we comment on the implications of our results for the universality of black hole thermality in AdS₃ , or equivalently, the eigenstate thermalization hypothesis for CFT₂ at large central charge.

View Accepted Manuscript (DOE)

Research Organization:: SLAC National Accelerator Laboratory (SLAC), Menlo Park, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC03-76SF00515

OSTI ID:: 1238365

Alternate ID(s):: OSTI ID: 22587501

Report Number(s):: SLAC-PUB--16625; PII: 2614

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 11 Vol. 2015; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (73)

Conformal Field Theory Di Francesco, Philippe; Mathieu, Pierre; Sénéchal, David Graduate Texts in Contemporary Physics https://doi.org/10.1007/978-1-4612-2256-9	book	January 1997
Conformal symmetry in two-dimensional space: Recursion representation of conformal block Zamolodchikov, Al. B. Theoretical and Mathematical Physics, Vol. 73, Issue 1 https://doi.org/10.1007/BF01022967	journal	October 1987
Conformal symmetry in two dimensions: An explicit recurrence formula for the conformal partial wave amplitude Zamolodchikov, Al. B. Communications in Mathematical Physics, Vol. 96, Issue 3 https://doi.org/10.1007/BF01214585	journal	September 1984
Chiral anomalies and AdS/CMT in two dimensions Jensen, Kristan Journal of High Energy Physics, Vol. 2011, Issue 1 https://doi.org/10.1007/JHEP01(2011)109	journal	January 2011
Quantum entanglement of localized excited states at finite temperature Caputa, Pawel; Simón, Joan; Štikonas, Andrius Journal of High Energy Physics, Vol. 2015, Issue 1 https://doi.org/10.1007/JHEP01(2015)102	journal	January 2015
AdS field theory from conformal field theory Fitzpatrick, A. Liam; Kaplan, Jared Journal of High Energy Physics, Vol. 2013, Issue 2 https://doi.org/10.1007/JHEP02(2013)054	journal	February 2013
Poincaré series, 3D gravity and CFT spectroscopy Keller, Christoph A.; Maloney, Alexander Journal of High Energy Physics, Vol. 2015, Issue 2 https://doi.org/10.1007/JHEP02(2015)080	journal	February 2015
Holographic entanglement entropy from 2d CFT: heavy states and local quenches Asplund, Curtis T.; Bernamonti, Alice; Galli, Federico Journal of High Energy Physics, Vol. 2015, Issue 2 https://doi.org/10.1007/JHEP02(2015)171	journal	February 2015
Writing CFT correlation functions as AdS scattering amplitudes Penedones, Joao Journal of High Energy Physics, Vol. 2011, Issue 3 https://doi.org/10.1007/JHEP03(2011)025	journal	March 2011
Exact correlators of BPS Operators from the 3d superconformal bootstrap Chester, Shai M.; Lee, Jaehoon; Pufu, Silviu S. Journal of High Energy Physics, Vol. 2015, Issue 3 https://doi.org/10.1007/JHEP03(2015)130	journal	March 2015
Lessons from crossing symmetry at large N Alday, Luis F.; Bissi, Agnese; Lukowski, Tomasz Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/JHEP06(2015)074	journal	June 2015
Effective conformal theory and the flat-space limit of AdS Fitzpatrick, A. Liam; Katz, Emanuel; Poland, David Journal of High Energy Physics, Vol. 2011, Issue 7 https://doi.org/10.1007/JHEP07(2011)023	journal	July 2011
The bootstrap program for boundary CFT d Liendo, Pedro; Rastelli, Leonardo; van Rees, Balt C. Journal of High Energy Physics, Vol. 2013, Issue 7 https://doi.org/10.1007/JHEP07(2013)113	journal	July 2013
Classical conformal blocks and Painlevé VI Litvinov, Alexey; Lukyanov, Sergei; Nekrasov, Nikita Journal of High Energy Physics, Vol. 2014, Issue 7 https://doi.org/10.1007/JHEP07(2014)144	journal	July 2014
Worldline approach to semi-classical conformal blocks Hijano, Eliot; Kraus, Per; Snively, River Journal of High Energy Physics, Vol. 2015, Issue 7 https://doi.org/10.1007/JHEP07(2015)131	journal	July 2015
Higher spin entanglement and W N $$ {\mathcal{W}}_{\mathrm{N}} $$ conformal blocks de Boer, Jan; Castro, Alejandra; Hijano, Eliot Journal of High Energy Physics, Vol. 2015, Issue 7 https://doi.org/10.1007/JHEP07(2015)168	journal	July 2015
A universal inequality for CFT and quantum gravity Hellerman, Simeon Journal of High Energy Physics, Vol. 2011, Issue 8 https://doi.org/10.1007/JHEP08(2011)130	journal	August 2011
Generalized gravitational entropy Lewkowycz, Aitor; Maldacena, Juan Journal of High Energy Physics, Vol. 2013, Issue 8 https://doi.org/10.1007/JHEP08(2013)090	journal	August 2013
Conformal blocks in the large D limit Fitzpatrick, A. Liam; Kaplan, Jared; Poland, David Journal of High Energy Physics, Vol. 2013, Issue 8 https://doi.org/10.1007/JHEP08(2013)107	journal	August 2013
Universality of long-distance AdS physics from the CFT bootstrap Fitzpatrick, A. Liam; Kaplan, Jared; Walters, Matthew T. Journal of High Energy Physics, Vol. 2014, Issue 8 https://doi.org/10.1007/JHEP08(2014)145	journal	August 2014
More holography from conformal field theory Heemskerk, Idse; Sully, James Journal of High Energy Physics, Vol. 2010, Issue 9 https://doi.org/10.1007/JHEP09(2010)099	journal	September 2010
Universal spectrum of 2d conformal field theory in the large c limit Hartman, Thomas; Keller, Christoph A.; Stoica, Bogdan Journal of High Energy Physics, Vol. 2014, Issue 9 https://doi.org/10.1007/JHEP09(2014)118	journal	September 2014
The N = 8 $$ \mathcal{N}=8 $$ superconformal bootstrap in three dimensions Chester, Shai M.; Lee, Jaehoon; Pufu, Silviu S. Journal of High Energy Physics, Vol. 2014, Issue 9 https://doi.org/10.1007/JHEP09(2014)143	journal	September 2014
Eikonalization of conformal blocks Fitzpatrick, A. Liam; Kaplan, Jared; Walters, Matthew T. Journal of High Energy Physics, Vol. 2015, Issue 9 https://doi.org/10.1007/JHEP09(2015)019	journal	September 2015
Towards Feynman rules for Mellin amplitudes in AdS/CFT Paulos, Miguel F. Journal of High Energy Physics, Vol. 2011, Issue 10 https://doi.org/10.1007/JHEP10(2011)074	journal	October 2011
Emergent spacetime and holographic CFTs El-Showk, Sheer; Papadodimas, Kyriakos Journal of High Energy Physics, Vol. 2012, Issue 10 https://doi.org/10.1007/JHEP10(2012)106	journal	October 2012
Analyticity and the holographic S-matrix Fitzpatrick, A. Liam; Kaplan, Jared Journal of High Energy Physics, Vol. 2012, Issue 10 https://doi.org/10.1007/JHEP10(2012)127	journal	October 2012
Higher-spin correlators Alday, Luis F.; Bissi, Agnese Journal of High Energy Physics, Vol. 2013, Issue 10 https://doi.org/10.1007/JHEP10(2013)202	journal	October 2013
A natural language for AdS/CFT correlators Fitzpatrick, A. Liam; Kaplan, Jared; Penedones, Joao Journal of High Energy Physics, Vol. 2011, Issue 11 https://doi.org/10.1007/JHEP11(2011)095	journal	November 2011
Quantum corrections to holographic entanglement entropy Faulkner, Thomas; Lewkowycz, Aitor; Maldacena, Juan Journal of High Energy Physics, Vol. 2013, Issue 11 https://doi.org/10.1007/JHEP11(2013)074	journal	November 2013
Convexity and liberation at large spin Komargodski, Zohar; Zhiboedov, Alexander Journal of High Energy Physics, Vol. 2013, Issue 11 https://doi.org/10.1007/JHEP11(2013)140	journal	November 2013
On short interval expansion of Rényi entropy Chen, Bin; Zhang, Jia-ju Journal of High Energy Physics, Vol. 2013, Issue 11 https://doi.org/10.1007/JHEP11(2013)164	journal	November 2013
The analytic bootstrap and AdS superhorizon locality Fitzpatrick, A. Liam; Kaplan, Jared; Poland, David Journal of High Energy Physics, Vol. 2013, Issue 12 https://doi.org/10.1007/JHEP12(2013)004	journal	December 2013
Tensor representations of conformal algebra and conformally covariant operator product expansion Ferrara, S.; Grillo, A. F.; Gatto, R. Annals of Physics, Vol. 76, Issue 1 https://doi.org/10.1016/0003-4916(73)90446-6	journal	March 1973
Gauge theory correlators from non-critical string theory Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M. Physics Letters B, Vol. 428, Issue 1-2 https://doi.org/10.1016/S0370-2693(98)00377-3	journal	May 1998
Conformal four point functions and the operator product expansion Dolan, F. A.; Osborn, H. Nuclear Physics B, Vol. 599, Issue 1-2 https://doi.org/10.1016/S0550-3213(01)00013-X	journal	April 2001
Conformal partial waves and the operator product expansion Dolan, F. A.; Osborn, H. Nuclear Physics B, Vol. 678, Issue 1-2 https://doi.org/10.1016/j.nuclphysb.2003.11.016	journal	February 2004
Weyl anomaly induced stress tensors in general manifolds Huang, Kuo-Wei Nuclear Physics B, Vol. 879 https://doi.org/10.1016/j.nuclphysb.2013.12.013	journal	February 2014
Conformal bootstrap, universality and gravitational scattering Jackson, Steven; McGough, Lauren; Verlinde, Herman Nuclear Physics B, Vol. 901 https://doi.org/10.1016/j.nuclphysb.2015.10.013	journal	December 2015
The Large-N Limit of Superconformal Field Theories and Supergravity Maldacena, Juan International Journal of Theoretical Physics, Vol. 38, Issue 4, p. 1113-1133 https://doi.org/10.1023/A:1026654312961	journal	January 1999
Aspects of holographic entanglement entropy Ryu, Shinsei; Takayanagi, Tadashi Journal of High Energy Physics, Vol. 2006, Issue 08 https://doi.org/10.1088/1126-6708/2006/08/045	journal	August 2006
One-loop partition functions of 3D gravity Giombi, Simone; Maloney, Alexander; Yin, Xi Journal of High Energy Physics, Vol. 2008, Issue 08 https://doi.org/10.1088/1126-6708/2008/08/007	journal	August 2008
Bounding scalar operator dimensions in 4 D CFT Rattazzi, Riccardo; Rychkov, Vyacheslav S.; Tonni, Erik Journal of High Energy Physics, Vol. 2008, Issue 12 https://doi.org/10.1088/1126-6708/2008/12/031	journal	December 2008
Holography from conformal field theory Heemskerk, Idse; Penedones, Joao; Polchinski, Joseph Journal of High Energy Physics, Vol. 2009, Issue 10 https://doi.org/10.1088/1126-6708/2009/10/079	journal	October 2009
Quantum statistical mechanics in a closed system Deutsch, J. M. Physical Review A, Vol. 43, Issue 4 https://doi.org/10.1103/PhysRevA.43.2046	journal	February 1991
N = 4 Superconformal Bootstrap Beem, Christopher; Rastelli, Leonardo; van Rees, Balt C. Physical Review Letters, Vol. 111, Issue 7 https://doi.org/10.1103/PhysRevLett.111.071601	journal	August 2013
Diagnosing Chaos Using Four-Point Functions in Two-Dimensional Conformal Field Theory Roberts, Daniel A.; Stanford, Douglas Physical Review Letters, Vol. 115, Issue 13 https://doi.org/10.1103/PhysRevLett.115.131603	journal	September 2015
Black hole in three-dimensional spacetime Bañados, Máximo; Teitelboim, Claudio; Zanelli, Jorge Physical Review Letters, Vol. 69, Issue 13 https://doi.org/10.1103/PhysRevLett.69.1849	journal	September 1992
Holographic Derivation of Entanglement Entropy from the anti–de Sitter Space/Conformal Field Theory Correspondence Ryu, Shinsei; Takayanagi, Tadashi Physical Review Letters, Vol. 96, Issue 18 https://doi.org/10.1103/PhysRevLett.96.181602	journal	May 2006
Tensor Representations of Conformal Algebra and Conformally Covariant Operator Product Expansion No authors listed INFN Open Access Repository https://doi.org/10.15161/oar.it/1448286657.72	text	January 1973
Tensor Representations of Conformal Algebra and Conformally Covariant Operator Product Expansion Ferrara, S.; Gatto, R.; Grillo, A. F. INFN Open Access Repository https://doi.org/10.15161/oar.it/1448902386.71	text	January 1971
Anti de Sitter space and holography Witten, Edward Advances in Theoretical and Mathematical Physics, Vol. 2, Issue 2 https://doi.org/10.4310/ATMP.1998.v2.n2.a2	journal	January 1998
Partition functions of three-dimensional pure gravity Yin, Xi Communications in Number Theory and Physics, Vol. 2, Issue 2 https://doi.org/10.4310/CNTP.2008.v2.n2.a1	journal	January 2008
Holography from Conformal Field Theory Heemskerk, Idse; Penedones, Joao; Polchinski, Joseph arXiv https://doi.org/10.48550/arxiv.0907.0151	text	January 2009
More Holography from Conformal Field Theory Heemskerk, Idse; Sully, James arXiv https://doi.org/10.48550/arxiv.1006.0976	text	January 2010
Effective Conformal Theory and the Flat-Space Limit of AdS Fitzpatrick, A. Liam; Katz, Emanuel; Poland, David arXiv https://doi.org/10.48550/arxiv.1007.2412	text	January 2010
Chiral anomalies and AdS/CMT in two dimensions Jensen, Kristan arXiv https://doi.org/10.48550/arxiv.1012.4831	text	January 2010
Emergent Spacetime and Holographic CFTs El-Showk, Sheer; Papadodimas, Kyriakos arXiv https://doi.org/10.48550/arxiv.1101.4163	text	January 2011
A Natural Language for AdS/CFT Correlators Fitzpatrick, A. Liam; Kaplan, Jared; Penedones, Joao arXiv https://doi.org/10.48550/arxiv.1107.1499	text	January 2011
Analyticity and the Holographic S-Matrix Fitzpatrick, A. Liam; Kaplan, Jared arXiv https://doi.org/10.48550/arxiv.1111.6972	text	January 2011
The Bootstrap Program for Boundary CFT_d Liendo, Pedro; Rastelli, Leonardo; van Rees, Balt C. arXiv https://doi.org/10.48550/arxiv.1210.4258	text	January 2012
Generalized gravitational entropy Lewkowycz, Aitor; Maldacena, Juan arXiv https://doi.org/10.48550/arxiv.1304.4926	text	January 2013
Conformal Blocks in the Large D Limit Fitzpatrick, A. Liam; Kaplan, Jared; Poland, David arXiv https://doi.org/10.48550/arxiv.1305.0004	text	January 2013
Quantum corrections to holographic entanglement entropy Faulkner, Thomas; Lewkowycz, Aitor; Maldacena, Juan arXiv https://doi.org/10.48550/arxiv.1307.2892	text	January 2013
Universality of Long-Distance AdS Physics from the CFT Bootstrap Fitzpatrick, A. Liam; Kaplan, Jared; Walters, Matthew T. arXiv https://doi.org/10.48550/arxiv.1403.6829	text	January 2014
Universal Spectrum of 2d Conformal Field Theory in the Large c Limit Hartman, Thomas; Keller, Christoph A.; Stoica, Bogdan arXiv https://doi.org/10.48550/arxiv.1405.5137	text	January 2014
Poincare Series, 3D Gravity and CFT Spectroscopy Keller, Christoph A.; Maloney, Alexander arXiv https://doi.org/10.48550/arxiv.1407.6008	text	January 2014
Lessons from crossing symmetry at large N Alday, Luis F.; Bissi, Agnese; Lukowski, Tomasz arXiv https://doi.org/10.48550/arxiv.1410.4717	preprint	January 2014
Conformal Bootstrap, Universality and Gravitational Scattering Jackson, Steven; McGough, Lauren; Verlinde, Herman arXiv https://doi.org/10.48550/arxiv.1412.5205	text	January 2014
Worldline approach to semi-classical conformal blocks Hijano, Eliot; Kraus, Per; Snively, River arXiv https://doi.org/10.48550/arxiv.1501.02260	preprint	January 2015
Aspects of Holographic Entanglement Entropy Ryu, Shinsei; Takayanagi, Tadashi arXiv https://doi.org/10.48550/arxiv.hep-th/0605073	text	January 2006
Gauge Theory Correlators from Non-Critical String Theory Gubser, S. S.; Klebanov, I. R.; Polyakov, A. M. arXiv https://doi.org/10.48550/arxiv.hep-th/9802109	text	January 1998
Anti De Sitter Space And Holography Witten, Edward arXiv https://doi.org/10.48550/arxiv.hep-th/9802150	text	January 1998

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Note on bulk reconstruction in AdS 3 / warped CFT 2 Lin, Yu-han; Chen, Bin Physical Review D, Vol. 100, Issue 8 https://doi.org/10.1103/physrevd.100.086018	journal	October 2019
Remarks on thermalization in 2D CFT de Boer, Jan; Engelhardt, Dalit Physical Review D, Vol. 94, Issue 12 https://doi.org/10.1103/physrevd.94.126019	journal	December 2016
Probing thermality beyond the diagonal Brehm, Enrico M.; Das, Diptarka; Datta, Shouvik Physical Review D, Vol. 98, Issue 12 https://doi.org/10.1103/physrevd.98.126015	journal	December 2018
Derivation of Holographic Negativity in AdS 3 / CFT 2 Kusuki, Yuya; Kudler-Flam, Jonah; Ryu, Shinsei Physical Review Letters, Vol. 123, Issue 13 https://doi.org/10.1103/physrevlett.123.131603	journal	September 2019
Does a Single Eigenstate Encode the Full Hamiltonian? Garrison, James R.; Grover, Tarun Physical Review X, Vol. 8, Issue 2 https://doi.org/10.1103/physrevx.8.021026	journal	April 2018
The conformal bootstrap: Theory, numerical techniques, and applications Poland, David; Rychkov, Slava; Vichi, Alessandro Reviews of Modern Physics, Vol. 91, Issue 1 https://doi.org/10.1103/revmodphys.91.015002	journal	January 2019
Thermal Correlation Functions of KdV Charges in 2D CFT Maloney, Alexander; Ng, Gim Seng; Ross, Simon F. Unpublished https://doi.org/10.13140/rg.2.2.12538.75203	text	January 2018
Generalized Gibbs Ensemble and the Statistics of KdV Charges in 2D CFT Maloney, Alexander; Ng, Gim Seng; Ross, Simon F. Unpublished https://doi.org/10.13140/rg.2.2.32671.41129	text	January 2018
Phases of scrambling in eigenstates Anous, Tarek; Sonner, Julian SciPost Physics, Vol. 7, Issue 1 https://doi.org/10.21468/scipostphys.7.1.003	journal	January 2019
Thermal decay without information loss in horizonless microstate geometries Bena, Iosif; Heidmann, Pierre; Monten, Ruben SciPost Physics, Vol. 7, Issue 5 https://doi.org/10.21468/scipostphys.7.5.063	journal	January 2019
Higher-point conformal blocks and entanglement entropy in heavy states Banerjee, Pinaki; Datta, Shouvik; Sinha, Ritam ETH Zurich https://doi.org/10.3929/ethz-b-000117244	text	January 2016
Charged structure constants from modularity Das, Diptarka; Datta, Shouvik; Pal, Sridip ETH Zurich https://doi.org/10.3929/ethz-b-000220012	text	January 2017
Probing thermality beyond the diagonal M., Brehm, Enrico; Diptarka, Das,; Shouvik, Datta, ETH Zurich https://doi.org/10.3929/ethz-b-000314687	text	January 2018
Does a single eigenstate encode the full Hamiltonian? Garrison, James R.; Grover, Tarun arXiv https://doi.org/10.48550/arxiv.1503.00729	text	January 2015
Witten Diagrams Revisited: The AdS Geometry of Conformal Blocks Hijano, Eliot; Kraus, Per; Perlmutter, Eric arXiv https://doi.org/10.48550/arxiv.1508.00501	text	January 2015
Causality Constraints in Conformal Field Theory Hartman, Thomas; Jain, Sachin; Kundu, Sandipan arXiv https://doi.org/10.48550/arxiv.1509.00014	text	January 2015
Hawking from Catalan Fitzpatrick, A. Liam; Kaplan, Jared; Walters, Matthew T. arXiv https://doi.org/10.48550/arxiv.1510.00014	text	January 2015
On CFT and Quantum Chaos Turiaci, Gustavo; Verlinde, Herman arXiv https://doi.org/10.48550/arxiv.1603.03020	text	January 2016
On Information Loss in AdS$_3$/CFT$_2$ Fitzpatrick, A. Liam; Kaplan, Jared; Li, Daliang arXiv https://doi.org/10.48550/arxiv.1603.08925	preprint	January 2016
A Stereoscopic Look into the Bulk Czech, Bartlomiej; Lamprou, Lampros; McCandlish, Samuel arXiv https://doi.org/10.48550/arxiv.1604.03110	text	January 2016
CFT descriptions of bulk local states in the AdS black holes Goto, Kanato; Takayanagi, Tadashi arXiv https://doi.org/10.48550/arxiv.1704.00053	text	January 2017
The nuts and bolts of the BMS Bootstrap Bagchi, Arjun; Gary, Mirah arXiv https://doi.org/10.48550/arxiv.1705.05890	text	January 2017
Witten Diagrams for Torus Conformal Blocks Kraus, Per; Maloney, Alexander; Maxfield, Henry arXiv https://doi.org/10.48550/arxiv.1706.00047	text	January 2017
Eigenstate thermalization in the Sachdev-Ye-Kitaev model Sonner, Julian; Vielma, Manuel arXiv https://doi.org/10.48550/arxiv.1707.08013	text	January 2017
Renyi Entropy for Local Quenches in 2D CFTs from Numerical Conformal Blocks Kusuki, Yuya; Takayanagi, Tadashi arXiv https://doi.org/10.48550/arxiv.1711.09913	text	January 2017
Entanglement entropy in (1+1)D CFTs with multiple local excitations Guo, Wu-zhong; He, Song; Luo, Zhu-Xi arXiv https://doi.org/10.48550/arxiv.1802.08815	text	January 2018
Towards Entanglement of Purification for Conformal Field Theories Hirai, Hayato; Tamaoka, Kotaro; Yokoya, Tsuyoshi arXiv https://doi.org/10.48550/arxiv.1803.10539	text	January 2018
The Conformal Bootstrap: Theory, Numerical Techniques, and Applications Poland, David; Rychkov, Slava; Vichi, Alessandro arXiv https://doi.org/10.48550/arxiv.1805.04405	text	January 2018
Large $c$ Virasoro Blocks from Monodromy Method beyond Known Limits Kusuki, Yuya arXiv https://doi.org/10.48550/arxiv.1806.04352	text	January 2018
c-Recursion for multi-point superconformal blocks. NS sector Belavin, V. A.; Geiko, R. V. arXiv https://doi.org/10.48550/arxiv.1806.09563	text	January 2018
A theory of reparameterizations for AdS$_3$ gravity Cotler, Jordan; Jensen, Kristan arXiv https://doi.org/10.48550/arxiv.1808.03263	text	January 2018
The Bulk-to-Boundary Propagator in Black Hole Microstate Backgrounds Chen, Hongbin; Fitzpatrick, A. Liam; Kaplan, Jared arXiv https://doi.org/10.48550/arxiv.1810.02436	preprint	January 2018
Scrambling time from local perturbations of the rotating BTZ black hole Štikonas, Andrius arXiv https://doi.org/10.48550/arxiv.1810.06110	text	January 2018
Thermal Correlation Functions of KdV Charges in 2D CFT Maloney, Alexander; Ng, Gim Seng; Ross, Simon F. arXiv https://doi.org/10.48550/arxiv.1810.11053	text	January 2018
Quantum Regge Trajectories and the Virasoro Analytic Bootstrap Collier, Scott; Gobeil, Yan; Maxfield, Henry arXiv https://doi.org/10.48550/arxiv.1811.05710	text	January 2018
Entanglement and chaos in warped conformal field theories Apolo, Luis; He, Song; Song, Wei arXiv https://doi.org/10.48550/arxiv.1812.10456	text	January 2018
Holographic dual of the five-point conformal block Parikh, Sarthak arXiv https://doi.org/10.48550/arxiv.1901.01267	text	January 2019
Phases of scrambling in eigenstates Anous, Tarek; Sonner, Julian arXiv https://doi.org/10.48550/arxiv.1903.03143	text	January 2019
Typicality and thermality in 2d CFT Datta, Shouvik; Kraus, Per; Michel, Ben arXiv https://doi.org/10.48550/arxiv.1904.00668	text	January 2019
Thermal Decay without Information Loss in Horizonless Microstate Geometries Bena, Iosif; Heidmann, Pierre; Monten, Ruben arXiv https://doi.org/10.48550/arxiv.1905.05194	text	January 2019

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