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(Seminar) Saddle-points at Holographic Entanglement Transitions: Enhanced Corrections
2020-10-27  【 】【打印】【关闭

CAS Key Laboratory of Theoretical Physics

Institute of Theoretical Physics

Chinese Academy of Sciences

 Seminar

Title

题目

Saddle-points at Holographic Entanglement Transitions: Enhanced Corrections

Speaker

报告人

王华嘉

Affiliation

所在单位

KITS-UCAS

Date

日期

2:00pm, Oct 27, 2020, Tuesday

Venue

地点

ITP South Building 6620

Zoom Meeting Room ID: 983 0634 1756

 

Contact Person

所内联系人

Gang Yang

Abstract

摘要

In AdS/CFT, bulk geometries usually manifest as saddle-point objects of the boundary CFT in the holographic limit. The simplest example is the emergence of RT surfaces in computing the boundary entanglement entropy, described by the famous Ryu-Takayanagi (RT) formula. The derivation of RT formula assumes that: 1. there is only one bulk saddle-point that dominates the path-integral; 2. the relevant saddle points respect replica symmetry. In this talk, we examine scenarios where both of these assumptions fail. In particular, we study the entanglement transition for a chaotic black hole micro-state, and focus on the sharpest signature of such transition: the enhanced correction. We discuss the interplay between different saddle-points, especially the replica non-symmetric ones, in relation to the enhanced correction at the transition, and draw general lessons from this case-study.
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