Supersymmetric Rényi entropy and charged hyperbolic black holes

DOI10.1007/JHEP07(2020)131zbMATH Open1451.83081arXiv1912.04868WikidataQ125355260 ScholiaQ125355260MaRDI QIDQ2215401

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Publication date: 11 December 2020

Published in: (Search for Journal in Brave)

Abstract: The supersymmetric R'enyi entropy across a spherical entangling surface in a $d$-dimensional SCFT with flavor defects is equivalent to a supersymmetric partition function on $mathbb{H}^{d-1}imesmathbb{S}^1$, which can be computed exactly using localization. We consider the holographically dual BPS solutions in $(d+1)$-dimensional matter coupled supergravity $(d=3,5)$, which are charged hyperbolically sliced AdS black holes. We compute the renormalized on-shell action and the holographic supersymmetric R'enyi entropy and show a perfect match with the field theory side. Our setup allows a direct map between the chemical potentials for the global symmetries of the field theories and those of the gravity solutions. We also discuss a simple case where angular momentum is added.

Full work available at URL: https://arxiv.org/abs/1912.04868

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