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

Understand

We describe holographic properties of near-AdS$_2$ spacetimes that arise within spherically symmetric configurations of ${\cal N}=2$ 4D $U(1)^4$ supergravity, for both gauged and ungauged theories.

• These theories pose a rich space of AdS$_2\times S^2$ 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 supersymmetric or not, and if the theory is gauged or ungauged.