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arXiv 2102.02826hep-thgr-qc
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STU超引力中广义渐近标量极值黑洞的共形对称性

Conformal Symmetries for Extremal Black Holes with General Asymptotic Scalars in STU Supergravity

M. Cvetic, C. N. Pope, A. Saha

摘要:

我们构造了一个具有任意渐近标量场的STU超引力(${\cal N}=2$超对称$D=4$超引力与三个矢量超多重态耦合)的最一般的BPS黑洞.这些解决方案是通过采取行动的一个子集的全球对称性生成的STU BPS黑洞的渐近标量为零值,无论是在U-对偶和杂化框架。解由十四个参数化:四个电荷和四个磁荷,以及六个标量场的渐近值。我们还提出了一致截断STU超引力的BPS黑洞解,它由两个电荷和两个磁荷以及两个标量场参数化。后者的解决方案是显着简化,非常适合进一步明确的研究。我们还探讨了一个共形反演对称的沙发-托伦斯型,它映射的任何成员的十四参数家庭的BPS黑洞的另一个成员的家庭。此外,这些解对于弦紧化的模空间中各种沼泽地的研究也是有价值的。

英文摘要:

We present a construction of the most general BPS black holes of STU supergravity (${\cal N}=2$ supersymmetric $D=4$ supergravity coupled to three vector super-multiplets) with arbitrary asymptotic values of the scalar fields. These solutions are obtained by acting with a subset of of the global symmetry generators on STU BPS black holes with zero values of the asymptotic scalars, both in the U-duality and the heterotic frame. The solutions are parameterized by fourteen parameters: four electric and four magnetic charges, and the asymptotic values of the six scalar fields. We also present BPS black hole solutions of a consistently truncated STU supergravity, which are parameterized by two electric and two magnetic charges and two scalar fields. These latter solutions are significantly simplified, and are very suitable for further explicit studies. We also explore a conformal inversion symmetry of the Couch-Torrence type, which maps any member of the fourteen-parameter family of BPS black holes to another member of the family. Furthermore, these solutions are expected to be valuable in the studies of various swampland conjectures in the moduli space of string compactifications.

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