Holographic R\'enyi entropy for two-dimensional N=(1,1) superconformal field theory

TL;DR

This paper explores the holographic Rnyi entropy in a9=1 supergravity in AdS3 and its dual a9=(1,1) superconformal field theory, analyzing cases of multiple intervals and temperature conditions.

Contribution

It provides a detailed comparison of Rnyi entropy calculations in supergravity and superconformal field theory, including contributions from gravitons, gravitinos, and superpartners.

Findings

Matches between supergravity and SCFT results for Rnyi entropy.

Analysis of both short intervals on a line and single interval on a circle.

Inclusion of contributions from gravitons, gravitinos, and stress tensors.

Abstract

In this paper we investigate the holographic R\'enyi entropy in $\mathcal N=1$ supergravity (SUGRA) in AdS$_3$ spacetime, which is dual to the two-dimensional $\mathcal N=(1,1)$ superconformal field theory (SCFT). We consider both cases of two short intervals on a line with zero temperature and one interval on a circle with low temperature. In SUGRA side we consider contributions of both graviton and gravitino, and in SCFT side we consider contributions of both stress tensor $T$, $\bar T$ and their superpartners $G$, $\bar G$. We find matches between SUGRA and SCFT results.