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

TL;DR

This paper introduces a new family of Type IIB supergravity solutions with eight supersymmetries, featuring an $ ext{AdS}_2 imes ext{S}^2 imes ext{CY}_2$ structure fibered over an interval, expanding the landscape of holographic duals to superconformal quantum mechanics.

Contribution

The authors construct a novel infinite family of solutions related to existing models, incorporating non-Abelian T-duality and proposing an extremisation principle for the holographic central charge.

Findings

Solutions preserve eight supercharges.

Solutions relate to existing $ ext{AdS}_2 imes ext{S}^2 imes ext{CY}_2$ classes.

A new extremisation principle for the central charge is proposed.

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.