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arXiv 2202.00352hep-th
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AdS $_3\times$ S $^2$ in IIB with small ${\cal N}=(4,0)$ supersymmetry

AdS$_3\times$ S$^2$ in IIB with small ${\cal N}=(4,0)$ supersymmetry

Niall T. Macpherson, Anayeli Ramirez

摘要:

我们考虑在保持小${\cal N}=(4,0)$超对称性的II型超引力中扭曲的AdS $_3\times $ S $^2\times$ M $_5$背景。我们发现,施加${\cal N}=(4,0)$超对称性施加0和3之间的先验等距的内部M $_5$。在这项工作中,我们专注于类的解决方案,其中M $_5$没有一个prioi等距施加额外的约束。在IIA中解决这些问题迫使M $_5$支持SU(2)-结构,这是在arXiv:1908.09851中已经研究过的情况,而在IIB中,我们得到了两个具有单位元结构的广泛的新类,我们将其简化为物理场和偏微分方程的局部表达式。

英文摘要:

We consider warped AdS$_3\times $S$^2\times$M$_5$ backgrounds in type II supergravity preserving small ${\cal N}=(4,0)$ supersymmetry. We show that imposing ${\cal N}=(4,0)$ supersymmetry imposes between 0 and 3 a priori isometries in the internal M$_5$. In this work we focus on classes of solution where M$_5$ exhibits no a prioi isometry which imposes additional constraints. Solving these in IIA forces M$_5$ to support an SU(2)-structure, a case already studied in arXiv:1908.09851, while in IIB one arrives at two broad new classes with identity structure that we reduce to local expressions for the physical fields and PDEs.

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