论文标题
近BPS黑洞的统计力学
The statistical mechanics of near-BPS black holes
论文作者
论文摘要
由于热力学对低温接近超级黑洞的失败，长期以来一直认为，极端黑洞和最近近外的状态之间存在“热力学质量差距”。对于爱因斯坦重力中的非苏联对称近超级黑孔，带有广告$ _2 $喉咙，没有发现这样的差距。相反，在能量量表上，频谱表现出连续的状态，直到非扰动校正。在本文中，我们计算超级近bps黑洞的分区功能，在该功能中，紧急，破碎的对称性为$ PSU（1,1 | 2）$。为了可靠地计算此分区函数，我们表明重力路径积分可以简化为$ \ Mathcal n = 4 $ supersymmetrictric扩展的Schwarzian理论，我们将其定义和量化。与非对称情况相反，我们发现超级重力中的黑洞具有质量间隙，并且与Bekenstein-Hawking地区一致的大型极端黑洞退化。我们的结果验证了几种弦理论的猜想，涉及质量差距的规模和极端微观态度的计数。
Due to the failure of thermodynamics for low temperature near-extremal black holes, it has long been conjectured that a "thermodynamic mass gap" exists between an extremal black hole and the lightest near-extremal state. For non-supersymmetric near-extremal black holes in Einstein gravity, with an AdS$_2$ throat, no such gap was found. Rather, at that energy scale, the spectrum exhibits a continuum of states, up to non-perturbative corrections. In this paper, we compute the partition function of near-BPS black holes in supergravity where the emergent, broken, symmetry is $PSU(1,1|2)$. To reliably compute this partition function, we show that the gravitational path integral can be reduced to that of a $\mathcal N=4$ supersymmetric extension of the Schwarzian theory, which we define and exactly quantize. In contrast to the non-supersymmetric case, we find that black holes in supergravity have a mass gap and a large extremal black hole degeneracy consistent with the Bekenstein-Hawking area. Our results verify several string theory conjectures, concerning the scale of the mass gap and the counting of extremal micro-states.
