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

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arxiv 2101.04682 v1 pith:XM6GRQBU submitted 2021-01-12 hep-th

classification hep-th
keywords textsolutionstimesconstructedcentralchargechiodarolifamily
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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.

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  1. G-structures for AdS$_2$ solutions

    hep-th 2025-04 conditional novelty 3.0 of 10

    A G-structure framework classifies supersymmetric AdS2 solutions of Type II supergravity, yielding two new families: massive IIA with a weak G2 manifold and IIB with AdS2 x S2 x CY2 x Sigma2.

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