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arXiv · 2007.12393

Supersymmetric Black Holes and the SJT/nSCFT$_1\!$ Correspondence

Stefan Forste·Andreas Gerhardus·Joshua Kames-King
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Abstract

We consider 1/4 BPS black hole solutions of ${\cal N}=2$ gauged supergravity in $AdS_4$. The near horizon geometry is $AdS_2 \times S^2$ and supersymmetry is enhanced. In the first part of the paper we choose a moment map, which allows the embedding of this supergravity solution into a sugra theory with a hypermultiplet. We then perform the s-wave reduction of this theory at the horizon and determine the dilaton multiplet, which couples to both metric and gravitino fluctuations. In the second part we work with Euclidean axial $\mathcal{N}=(2,2)$ JT supergravity and show how to add gauged matter in form of covariantly twisted chiral and anti-chiral multiplets. We demonstrate how to reduce the on-shell action to boundary superspace. We compare both theories and calculate the fourpoint function by integrating out gravitons, gravitini and photons for the s-wave setting and by use of the Super-Schwarzian modes in the JT theory.

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Stefan Forste, Andreas Gerhardus, Joshua Kames-King. 2020-07-24. Supersymmetric Black Holes and the SJT/nSCFT$_1\!$ Correspondence. https://doi.org/10.1007/jhep01(2021)186

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