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2019

Supersymmetric R\'enyi entropy and charged hyperbolic black holes

Hosseini, Seyed Morteza, Toldo, Chiara, Yaakov, Itamar

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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 $\mathbb{H}^{d-1} \times \mathbb{S}^1$, 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.

Supersymmetric R\'enyi entropy and charged hyperbolic black holes · Around

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