${\text{AdS}}_2\times {\text{S}}^2\times {\text{CY}}_2$ solutions in Type IIB with 8 supersymmetries

Abstract

We present a new infinite family of Type IIB supergravity solutions preserving eight supercharges. The structure of the space is ${\text{AdS}}_2\times {\text{S}}^2\times {\text{CY}}_2\times {\text{S}}^1$ fibered over an interval. These solutions can be related through double analytical continuations with those recently constructed in \cite{Lozano:2020txg}. Both types of solutions are however dual to very different superconformal quantum mechanics. We show that our solutions fit locally in the class of ${\text{AdS}}_2\times {\text{S}}^2\times {\text{CY}}_2$ solutions fibered over a 2d Riemann surface $\Sigma$ constructed by Chiodaroli, Gutperle and Krym, in the absence of D3 and D7 brane sources. We compare our solutions to the global solutions constructed by Chiodaroli, D'Hoker and Gutperle for $\Sigma$ an annulus. We also construct a cohomogeneity-two family of solutions using non-Abelian T-duality. Finally, we relate the holographic central charge of our one dimensional system to a combination of electric and magnetic fluxes. We propose an extremisation principle for the central charge from a functional constructed out of the RR fluxes.

33 pages, 4 figures

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