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TT and EE, with implications for (A)dS subregion encodings

Lewkowycz, Aitor and Liu, Junyu and Silverstein, Eva and Torroba, Gonzalo (2020) TT and EE, with implications for (A)dS subregion encodings. Journal of High Energy Physics, 2020 (4). Art. No. 152. ISSN 1126-6708.

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We initiate a study of subregion dualities, entropy, and redundant encoding of bulk points in holographic theories deformed by TT and its generalizations. This includes both cut off versions of Anti de Sitter spacetime, as well as the generalization to bulk de Sitter spacetime, for which we introduce two additional examples capturing different patches of the bulk and incorporating the second branch of the square root dressed energy formula. We provide new calculations of entanglement entropy (EE) for more general divisions of the system than the symmetric ones previously available. We find precise agreement between the gravity side and deformed-CFT side results to all orders in the deformation parameter at large central charge. An analysis of the fate of strong subadditivity for relatively boosted regions indicates nonlocality reminiscent of string theory. We introduce the structure of operator algebras in these systems. The causal and entanglement wedges generalize to appropriate deformed theories but exhibit qualitatively new behaviors, e.g. the causal wedge may exceed the entanglement wedge. This leads to subtleties which we express in terms of the Hamiltonian and modular Hamiltonian evolution. Finally, we exhibit redundant encoding of bulk points, including the cosmological case.

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Liu, Junyu0000-0003-1669-8039
Additional Information:© 2020 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: February 16, 2020; Accepted: April 6, 2020; Published: April 23, 2020. We are grateful to J. Aguilera-Damia, H. Casini, J. Cardy, X. Dong, V. Gorbenko, M. Guica, K. Kato, A. Levine, D. Marolf, E. Mazenc, A. Milsted, Y. Nomura, M. Rangamani, P. Rath, B. Şahinoğlu, N. Salzetta, E. Shaghoulian, W. Song, R. Soni, J. Sorce, H. Verlinde, G. Vidal and A. Wall for useful discussions. JL especially thanks C. Cheung, J. Preskill and D. Simmons-Duffin for their numerous discussions and support, and Stanford University for hosting during the course of the project. We thank the organizers and participants of the Simons Center Workshop "TT and other solvable deformations of quantum field theory", the Yukawa Institute It from Qubit school and workshop, the Amsterdam summer workshop on string theory, and the Aspen Center for Physics where various parts of this work were completed. JL is supported in part by the Institute for Quantum Information and Matter (IQIM), an NSF Physics Frontiers Center (NSF Grant PHY-1125565) with support from the Gordon and Betty Moore Foundation (GBMF-2644), by the Walter Burke Institute for Theoretical Physics, and by Sandia Quantum Optimization & Learning & Simulation, DOE Award #DE-NA0003525. The research of E.S. was supported in part by the Simons Foundation Origins of the Universe Initiative (modern inflationary cosmology collaboration), by a Simons Investigator award, and by the National Science Foundation under grant number PHY-1720397. ES thanks the Aspen Center for Physics (NSF PHY-1607611) for hospitality during part of this work. GT is supported by CONICET (PIP grant 11220150100299), UNCuyo, and CNEA. GT would like to acknowledge hospitality and support from the Aspen Center for Physics (NSF grant PHY-1607611, and Simons Foundation grant), and Stanford University, where part of this work was performed.
Group:Walter Burke Institute for Theoretical Physics, Institute for Quantum Information and Matter
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Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
Gordon and Betty Moore FoundationGBMF-2644
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Department of Energy (DOE)DE-NA0003525
Simons FoundationUNSPECIFIED
Consejo Nacional de Investigaciones Científicas y Técnicas (CONICET)11220150100299
Universidad Nacional de Cuyo (UNCUYO)UNSPECIFIED
Comisión Nacional de Energía Atómica (CNEA)UNSPECIFIED
Stanford UniversityUNSPECIFIED
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Issue or Number:4
Record Number:CaltechAUTHORS:20191028-151748156
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Official Citation:Lewkowycz, A., Liu, J., Silverstein, E. et al. TT and EE, with implications for (A)dS subregion encodings. J. High Energ. Phys. 2020, 152 (2020).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:99508
Deposited By: Joy Painter
Deposited On:28 Oct 2019 23:11
Last Modified:04 Jun 2020 10:14

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