Supersymmetric black holes and the SJT/nSCFT1 correspondence

We consider 1/4 BPS black hole solutions of N = 2 gauged supergravity in AdS(4). The near horizon geometry is AdS(2) x 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 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.

Automated summary

In this study, 1/4 BPS black hole solutions of N = 2 gauged supergravity in AdS(4) were considered, with the near horizon geometry being AdS(2) x S-2 and enhanced supersymmetry. The analysis involved choosing a moment map to embed the supergravity solution into a sugra theory with a hypermultiplet, and performing the s-wave reduction to determine the dilaton multiplet coupling to metric and gravitino fluctuations. The study also explored Euclidean axial N = (2, 2) JT supergravity, adding gauged matter in the form of covariantly twisted chiral and anti-chiral multiplets, and comparing both theories to calculate the fourpoint function.