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High Energy Theory Seminar

Friday, July 24, 2020
11:00am to 12:00pm
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Online Event
Gravity Dual of Connes Cocycle Flow
Venkatesa Chandrasekaran, UC Berkeley, Meeting ID: 924 0247 2179

Modular flow offers a wealth of insights into both quantum field theory and holography. Its connection to gravity has implications for understanding bulk reconstruction and boundary entanglement. In this talk, we further explore this connection by studying a particular manifestation of modular flow: the Connes Cocycle (CC) flow. 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 demonstrate that the resulting Wheeler-DeWitt patch is the bulk dual to the boundary state obtained by CC flow across the cut. We do so by verifying that the kink transform is consistent with known properties of operator expectation values and subregion entropies under CC flow. Moreover, CC flow generates a stress tensor shock at the cut, controlled by a shape derivative of the entropy. We show that the kink transform reproduces this shock holographically through a gravitational shock. We also discuss the relationship to one-sided modular flow and JLMS.

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