AdS2 x S2 x CY2 solutions in Type IIB with 8 supersymmetries

We present a new infinite family of Type IIB supergravity solutions preserving eight supercharges. The structure of the space is AdS(2) x S-2 x CY2 x S-1 fibered over an interval. These solutions can be related through double analytical continuations with those recently constructed in [1]. Both types of solutions are however dual to very different superconformal quantum mechanics. We show that our solutions fit locally in the class of AdS(2) x S-2 x CY2 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.

Automated summary

We present a new family of Type IIB supergravity solutions with eight supercharges, related to previously constructed solutions through double analytical continuations. Our solutions fit locally in the class of solutions constructed by Chiodaroli, Gutperle and Krym, and are compared to global solutions constructed by Chiodaroli, D'Hoker and Gutperle.