Supersymmetric black holes and the SJT/nSCFT1 correspondence

Abstract

Abstract We consider 1/4 BPS black hole solutions of N $$ \mathcal{N} $$ = 2 gauged supergravity in AdS 4. The near horizon geometry is AdS 2 × 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 $$ \mathcal{N} $$ = (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.

Keywords

• 2D Gravity
• AdS-CFT Correspondence
• Black Holes
• Supergravity Models