Holographic Rényi entropy for two-dimensional $\mathcal{N}$=(2,2) superconformal field theory

Abstract

We investigate the holographic Rényi entropy for two-dimensional $\mathcal{N}=(2,2)$ superconformal field theory (SCFT), which is dual to $\mathcal{N}=2$ supergravity in AdS${}_3$ background. In SCFT we have the stress tensor, current, and their supersymmetric partners, and in supergravity we have the graviton, vector field, and two gravitinos. We get the Rényi mutual information of two short intervals on complex plane in expansion by the cross ratio $x$ to order $x^4$, and Rényi entropy of one interval on torus in expansion by $q=\exp (-2\pi \beta /L)$, with $\beta$ being the inverse temperature and $L$ being the spatial period, to order $q^2$. We calculate in both the supergravity and SCFT sides, and find matches of the results.

14 pages

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Cited by in corpus (6)

• Subsystem trace distance in low-lying states of $(1+1)$-dimensional conformal field theories
• Rényi Mutual Information in Holographic Warped CFTs
• Rényi Mutual Information for Free Scalar in Even Dimensions
• Holographic Mutual Information of Two Disjoint Spheres
• Note on non-vacuum conformal family contributions to Rényi entropy in two-dimensional CFT
• Subsystem fidelity in two-dimensional conformal field theories