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(Seminar) Saddle-points at Holographic Entanglement Transitions: Enhanced Corrections
10/27
2020
- Title (Seminar) Saddle-points at Holographic Entanglement Transitions: Enhanced Corrections
- Speaker
- Date
- Venue
Abstract
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CAS Key Laboratory of Theoretical Physics | |||
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Institute of Theoretical Physics | |||
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Chinese Academy of Sciences | |||
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Seminar | |||
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Title 题目 |
Saddle-points at Holographic Entanglement Transitions: Enhanced Corrections | ||
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Speaker 报告人 |
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Affiliation 所在单位 |
KITS-UCAS | ||
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Date 日期 |
2:00pm, Oct 27, 2020, Tuesday | ||
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Venue 地点 |
ITP South Building 6620
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Contact Person 所内联系人 |
Gang Yang | ||
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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. | ||