Nuclear Physics B ( IF 2.8 ) Pub Date : 2020-07-10 , DOI: 10.1016/j.nuclphysb.2020.115112 Quentin Bonnefoy , Luca Ciambelli , Dieter Lüst , Severin Lüst
The aim of this paper is to elucidate a close connection between the black hole area law and the infinite distance conjecture in the context of the swampland. We consider families of black hole geometries, parametrized by their event horizon areas or by the values of their entropies, and show that the infinite entropy limit is always at infinite distance in the space of black hole geometries. It then follows from the infinite distance conjecture that there must be a tower of states in the infinite entropy limit, and that ignoring these towers on the horizon of the black hole would invalidate the effective theory when the entropy becomes large. We call this the black hole entropy distance conjecture. We then study two candidates for the tower of states. The first are the Kaluza-Klein modes of the internal geometry of extremal black holes in string theory, whose masses on the horizon are fixed by the attractor formalism, and given in terms of the black hole charges similarly to the entropy. However, we observe that it is possible to decouple their masses from the entropy, so that they cannot generically play the role of the tower. We thus consider a second kind of states: inspired by N-portrait quantum models of non-extremal black holes, we argue that the Goldstone-like modes that interpolate among the black hole microstates behave like the expected light tower of states.
中文翻译:
无限距离处的无限黑洞熵和状态塔
本文的目的是阐明黑洞面积定律与沼泽地背景下无限距离猜想之间的紧密联系。我们考虑了由其视界区域或它们的熵值参数化的黑洞几何族,并表明无限熵极限在黑洞几何空间中始终处于无限距离。然后从无限距离猜想得出,在无限熵极限内必须有一个状态塔,并且当熵变大时,忽略黑洞地平线上的这些塔将使有效理论无效。我们称其为黑洞熵距离猜想。然后,我们研究国家塔的两名候选人。第一个是极端内部几何形状的Kaluza-Klein模式 弦论中的黑洞,其在地平线上的质量由 吸引子形式论,并且在黑洞方面给出的电荷类似于熵。但是,我们观察到有可能使它们的质量与熵解耦,从而使它们无法普遍发挥塔的作用。因此,我们考虑了第二种状态:受非极端黑洞的N肖像量子模型的启发,我们认为插在黑洞微状态之间的类戈德斯通模式的行为类似于预期的状态灯塔。