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Title: Gravity dual of Connes cocycle flow

Abstract

We define the "kink transform"as a one-sided boost of bulk initial data about the Ryu-Takayanagi surface of a boundary cut. For a flat cut, we conjecture that the resulting Wheeler-DeWitt patch is the bulk dual to the boundary state obtained by the Connes cocycle (CC) flow across the cut. The bulk patch is glued to a precursor slice related to the original boundary slice by a one-sided boost. This evades ultraviolet divergences and distinguishes our construction from a one-sided modular flow. We verify that the kink transform is consistent with known properties of operator expectation values and subregion entropies under CC flow. CC flow generates a stress tensor shock at the cut, controlled by a shape derivative of the entropy; the kink transform reproduces this shock holographically by creating a bulk Weyl tensor shock. We also go beyond known properties of CC flow by deriving novel shock components from the kink transform.

Authors:
; ; ORCiD logo; ORCiD logo
Publication Date:
Research Org.:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC); National Science Foundation (NSF)
OSTI Identifier:
1665894
Alternate Identifier(s):
OSTI ID: 1756383
Grant/Contract Number:  
SC0019380; AC02-05CH11231; PHY1820912
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 102 Journal Issue: 6; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 79 ASTRONOMY AND ASTROPHYSICS; Conformal field theory; general relativity; geometry; quantum field theory; quantum fields in curved spacetime; quantum gravity

Citation Formats

Bousso, Raphael, Chandrasekaran, Venkatesa, Rath, Pratik, and Shahbazi-Moghaddam, Arvin. Gravity dual of Connes cocycle flow. United States: N. p., 2020. Web. https://doi.org/10.1103/PhysRevD.102.066008.
Bousso, Raphael, Chandrasekaran, Venkatesa, Rath, Pratik, & Shahbazi-Moghaddam, Arvin. Gravity dual of Connes cocycle flow. United States. https://doi.org/10.1103/PhysRevD.102.066008
Bousso, Raphael, Chandrasekaran, Venkatesa, Rath, Pratik, and Shahbazi-Moghaddam, Arvin. Thu . "Gravity dual of Connes cocycle flow". United States. https://doi.org/10.1103/PhysRevD.102.066008.
@article{osti_1665894,
title = {Gravity dual of Connes cocycle flow},
author = {Bousso, Raphael and Chandrasekaran, Venkatesa and Rath, Pratik and Shahbazi-Moghaddam, Arvin},
abstractNote = {We define the "kink transform"as a one-sided boost of bulk initial data about the Ryu-Takayanagi surface of a boundary cut. For a flat cut, we conjecture that the resulting Wheeler-DeWitt patch is the bulk dual to the boundary state obtained by the Connes cocycle (CC) flow across the cut. The bulk patch is glued to a precursor slice related to the original boundary slice by a one-sided boost. This evades ultraviolet divergences and distinguishes our construction from a one-sided modular flow. We verify that the kink transform is consistent with known properties of operator expectation values and subregion entropies under CC flow. CC flow generates a stress tensor shock at the cut, controlled by a shape derivative of the entropy; the kink transform reproduces this shock holographically by creating a bulk Weyl tensor shock. We also go beyond known properties of CC flow by deriving novel shock components from the kink transform.},
doi = {10.1103/PhysRevD.102.066008},
journal = {Physical Review D},
number = 6,
volume = 102,
place = {United States},
year = {2020},
month = {9}
}

Journal Article:
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https://doi.org/10.1103/PhysRevD.102.066008

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