Supersymmetric Rényi entropy and charged hyperbolic black holes

Hosseini, S.M., Toldo, Chiara and Yaakov, I. (2020) Supersymmetric Rényi entropy and charged hyperbolic black holes. Journal of High Energy Physics, 2020 (7), [131]. (doi:10.1007/JHEP07(2020)131).

Record type: Article

Abstract

The supersymmetric Rényi entropy across a spherical entangling surface in a d-dimensional SCFT with flavor defects is equivalent to a supersymmetric partition function on ℍd−1 × 𝕊1, 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 Rényi 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

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Supersymmetric Rényi entropy and defect operators - Accepted Manuscript

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