Abstract
We consider 1/4 BPS black hole solutions of \( \mathcal{N} \) = 2 gauged supergravity in AdS4. The near horizon geometry is AdS2 × S2 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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ArXiv ePrint: 2007.12393
Andreas Gerhardus contributed to this work while he was still at the Bethe Center for Theoretical Physics and the Physikalisches Institut der Universität Bonn.
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Förste, S., Gerhardus, A. & Kames-King, J. Supersymmetric black holes and the SJT/nSCFT1 correspondence. J. High Energ. Phys. 2021, 186 (2021). https://doi.org/10.1007/JHEP01(2021)186
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DOI: https://doi.org/10.1007/JHEP01(2021)186