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arXiv 2302.03054hep-th
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关于黑洞、畴壁与通量之间的对应关系

On the correspondence between black holes, domain walls and fluxes

Niccolò Cribiori, Alessandra Gnecchi, Dieter Lust, Marco Scalisi

AI总结:

本文扩展了 IIA 型紧致化中黑洞、畴壁与通量间的超引力对应关系,并利用该框架从黑洞解性质出发为 swampland 猜想提供了自下而上的理论依据。

摘要:

我们重新审视并扩展了 IIA 型紧致化中黑洞、畴壁与通量之间的对应关系。我们论证了这三个系统可以由相同的超引力有效作用量来描述,只需进行适当的等同与调整。然后,我们应用该对应关系研究关于 de Sitter 和 anti-de Sitter 真空以及黑洞熵的 swampland 猜想。我们表明,在某些情况下,swampland 猜想可以由黑洞解的性质(例如熵的正定性)来驱动。这提供了一种自下而上的理论依据,作为弦理论中常规测试的补充。当要求 anti-de Sitter 与黑洞熵距离猜想之间保持一致时,我们引入了对该对应关系的扩展,包括几何通量及相关的 Kaluza-Klein 单极畴壁。最后,我们指出,作为涉及黑洞电荷与超引力规范耦合的约束的结果,anti-de Sitter 距离猜想自然地在某些渐近 anti-de Sitter 黑洞中得以实现。

英文摘要:

We revisit and extend the correspondence between black holes, domain walls and fluxes in type IIA compactifications. We argue that these three systems can be described by the same supergravity effective action, modulo proper identifications and adjustments. Then, we apply the correspondence to investigate swampland conjectures on de Sitter and anti-de Sitter vacua, as well as on the black hole entropy. We show that, in certain cases, swampland conjectures can be motivated from properties of black hole solutions, such as positiveness of the entropy. This provides a bottom-up rationale which is complementary to the usual tests in string theory. When asking for an agreement between the anti-de Sitter and the black hole entropy distance conjectures, we are led to an extension of the correspondence which includes geometric fluxes and the associated Kaluza-Klein monopoles domain walls. Finally, we point out that the anti-de Sitter distance conjecture is naturally implemented in certain asymptotically anti-de Sitter black holes as a consequence of a constraint involving black hole charges and supergravity gauge couplings.

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