Holographic Rényi entropy for two-dimensional N=(1,1) superconformal field theory

Abstract

In this paper we investigate the holographic Rényi 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.

V1, 19 pages; V2, 19 pages, publised version

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• Higher spin entanglement entropy at finite temperature with chemical potential
• Holographic Rényi entropy for two-dimensional $\mathcal{N}$=(2,2) superconformal field theory
• Note on non-vacuum conformal family contributions to Rényi entropy in two-dimensional CFT
• Holographic Mutual Information of Two Disjoint Spheres