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arXiv 2101.04682hep-th
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具有8个超对称的IIB型的$\text{AdS}_2\times \text{S}^2\times \text{CY}_2$解

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

Yolanda Lozano, Carlos Nunez, Anayeli Ramirez

摘要:

我们提出了一个新的无限族的IIB型超引力解保持八个超荷。空间的结构是$\text{AdS}_2\times\text{S}^2\times \text{CY}_2\times \text{S}^1$在一个区间上纤维化的。这些解决方案可以通过与最近在\cite{Lozano:2020txg}构建的双解析延拓。然而,这两种类型的解决方案是对偶非常不同的超共形量子力学。我们表明,我们的解决方案适合本地类的$\text{AdS}_2\times \text{S}^2\times \text{CY}_2$解决方案纤维在二维黎曼曲面$Σ$由Chiodaroli,Gutperle和Krym,在D3和D 7膜源的情况下。我们比较我们的解决方案的整体解决方案构造的Chiodaroli,D 'Hoker和Gutperle为$Σ$一个环。利用非阿贝尔T-对偶,我们还构造了一个相干性为2的解族。最后,我们把我们的一维系统的全息中心荷与电子和磁通量的组合联系起来。我们提出了一个极端化原则的中心荷从功能构建的RR通量。

英文摘要:

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 $Σ$ 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 $Σ$ 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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