Infinite black hole entropies at infinite distances and tower of states
Infinite black hole entropies at infinite distances and tower of states
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DOI：
10.1016/j.nuclphysb.2020.115112
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发表时间：
2019-12
影响因子：
2.8
通讯作者：
Q. Bonnefoy;Luca Ciambelli;D. Lust;Severin Lüst
中科院分区：
文献类型：
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作者：
Q. Bonnefoy;Luca Ciambelli;D. Lust;Severin Lüst
本文的目的是在沼泽背景下阐明黑洞面积定律和无限距离猜想之间的密切联系。我们考虑了由黑洞的视界面积或其熵的值来参数化的黑洞几何族，证明了在黑洞几何空间中，无穷大的熵极限总是在无穷远的地方。然后，从无限距离猜想得出，在无限大的熵极限中一定存在一个状态塔，当熵变大时，忽略黑洞视界上的这些状态塔将使有效的理论失效。我们称之为黑洞熵距离猜想。然后，我们研究两个国家之塔的候选人。第一类是弦理论中极值N=2黑洞内部几何的Kaluza-Klein模，其视界质量由N=2吸引子形式确定，并以类似于黑洞熵的黑洞电荷形式给出。然而，我们观察到，有可能将它们的质量从熵中分离出来，这样它们通常就不能起到塔的作用。因此，我们考虑了第二种态：受非极端黑洞的N画像量子模型的启发，我们认为在黑洞微态之间插入的类Goldstone模的行为类似于预期的状态灯塔。
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 N= 2 black holes in string theory, whose masses on the horizon are fixed by the N= 2 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.