标题： 关于黑洞、域墙和通量之间的对应关系 显示英文标题

标题： On the correspondence between black holes, domain walls and fluxes

摘要： 我们重新审视并扩展了IIA紧化中的黑洞、域墙和通量之间的对应关系。 我们认为这三个系统可以通过相同的超引力有效作用来描述，前提是做出适当的识别和调整。 然后，我们将这种对应关系应用于研究关于de Sitter和反de Sitter真空以及黑洞熵的沼泽地猜想。 我们证明，在某些情况下，沼泽地猜想可以从黑洞解的性质（例如熵的正性）中得到启发。 这提供了一种自下而上的理由，与弦论中的通常测试互补。 当要求反de Sitter熵距离猜想与黑洞熵距离猜想一致时，我们被引导去扩展这种对应关系，包括几何通量及其相关的Kaluza-Klein单极子域墙。 最后，我们指出，反de Sitter距离猜想自然地出现在某些渐近反de Sitter黑洞中，这是由于涉及黑洞电荷和超引力规范耦合的约束条件导致的。 显示英文摘要

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.