Near-AdS$_2$ Spectroscopy: classifying the spectrum of operators and interactions in $\mathcal{N} = 2$ 4D supergravity

Abstract

We describe holographic properties of near-AdS 2 spacetimes that arise within spherically symmetric configurations of N = 2 4D U (1) 4 supergravity, for both gauged and ungauged theories.These theories pose a rich space of AdS 2 × S 2 backgrounds, and their responses in the near-AdS 2 region are not universal. In particular, we show that the spectrum of operators dual to the matter fields, and their cubic interactions, are sensitive to properties of the background and the theory it is embedded in. The properties that have the most striking effect are whether the background is BPS or non-BPS, and if the theory is gauged or ungauged. The resulting differences will have an imprint on the quantum nature of the microstates of near-extremal black holes, reflecting that not all extremal black holes respond equally when kicked away from extremality.

Non-topological logarithmic corrections in minimal gauged supergravity

“…A similar argument for BPS black holes explains the 8 fermionic zero modes as arising from the eight fermionic generators of the PSUp1, 1|2q near horizon symmetry. These patterns of symmetry breaking can be studied using Jackiw-Teitelboim gravity [51,[54][55][56][57][58][59][60]. We also include in C global the correction that comes from the change of ensemble from canonical to microcanonical.…”