Relative entropy in CFT

被引：36
|
作者：
Longo, Roberto [1 ]
Xu, Feng [2 ]
机构：
[1] Univ Roma Tor Vergata, Dept Math, Via Ric Sci 1, I-00133 Rome, Italy
[2] Univ Calif Riverside, Dept Math, Riverside, CA 92521 USA
来源：
ADVANCES IN MATHEMATICS | 2018年 / 337卷
关键词：
Relative entropy; CFT; OPERATOR-ALGEBRAS; REPRESENTATIONS; SUBFACTORS; STATES;
D O I：
10.1016/j.aim.2018.08.015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Inspired by Edward Witten's questions, we compute the mutual information associated with free fermions, and we deduce many results about entropies for chiral CFT's which are embedded into free fermions, and their extensions. Such relative entropies in CFT are here computed explicitly for the first time in a mathematical rigorous way, and Our results agree with previous computations by physicists based on heuristic arguments; in addition we uncover a surprising connection with the theory of subfactors, in particular by showing that a certain duality, which is argued to be true on physical grounds, is in fact violated if the global dimension of the conformal net is greater than 1. (C) 2018 Elsevier Inc. All rights reserved.
引用
收藏
页码：139 / 170
页数：32
相关论文
共 50 条
12345