


(Seminar) Kinematic Space in AdS3/CFT2: How Bulk Lengths and Boosts are Entanglement Berry Phases 
CAS Key Laboratory of Theoretical Physics

Institute of Theoretical Physics

Chinese Academy of Sciences

onlineSeminar

Title
题目

Kinematic Space in AdS3/CFT2: How Bulk Lengths and Boosts are Entanglement Berry Phases 
Speaker
报告人


Affiliation
所在单位

IAS Tsinghua 
Date
日期

Oct 14 (Wed), 15 (Thur), 2:00 pm 
Venue
地点

南楼6620
http://live.xylink.com/live/v/9680cda074c5cf2e017511798c4f18c7

Contact Person
所内联系人

何颂 
Abstract
摘要

I will review an alternative and often more powerful formalism for describing physics in AdS3 space: not as a mesh of points but as a fabric woven by geodesics. An illustrative example of statements enabled by this formalism is that the length of a curve equals the (properly defined) "number" of geodesics which intersect it. The main stage of the formalism is Kinematic Space: the space of geodesics orequivalentlythe space of CFT subregions. Each such CFT subregion is entangled with its complement; this entanglement defines the "modular Hamiltonian" of the subregion. A trajectory in Kinematic Space gives a family of smoothly varying modular Hamiltonians, which in turn defines a modular (entanglement) Berry phase. Virtually all geometric properties of the bulkmost of which had not been previously understood from the CFT point of vieware manifestations of entanglement Berry phases; this includes lengths of curves, the bulk Riemann curvature, even proper time registered by massive particles. The entanglement Berry phases are nontrivial because the entanglement Berry curvature is nonvanishing. In the simplest example the positivity of entanglement Berry curvature is equivalent to the strong subadditivity of entanglement entropy, which underscores novel and deep links between the emergence of the bulk in holography, quantum information theory, and the physics of Berry phases. 



