论文标题
$ n = 4 $ bps黑洞的重力路径积分来自黑洞微杆菌计数
The gravitational path integral for $ N=4$ BPS black holes from black hole microstate counting
论文作者
论文摘要
我们使用单一中心$ \ frac14 $ bps二元黑孔的精确退化公式，其单位扭转为4D $ n = 4 $ toroidally toroid toroidalliotalliotalliotical assatient的杂音弦理论，以改善使用SuperSymmetrymmetrictric Nerization获得的相应量子熵功能的现有配方。结果以欧几里得背景的形式（包括欧几里得的Orbifolds $ ads_2 \ times s^2 $吸引子几何形状）上采取了总和的形式。使用$ n = 2 $形式主义，我们确定支持这些背景的Abelian仪表电位的明确形式。我们进一步展示了在半古典层面上重写退化公式的重写，以与涉及2D欧几里得虫洞的重力解释。此替代图可用于阐明重力途径积分的不同方面捕获微晶变性。我们还评论了相关的1D全息模型之间的关系。
We use the exact degeneracy formula of single-centred $\frac14$ BPS dyonic black holes with unit torsion in 4D $N=4$ toroidally compactified heterotic string theory to improve on the existing formulation of the corresponding quantum entropy function obtained using supersymmetric localization. The result takes the form of a sum over Euclidean backgrounds including orbifolds of the Euclidean $AdS_2 \times S^2$ attractor geometry. Using an $N=2$ formalism, we determine the explicit form of the Abelian gauge potentials supporting these backgrounds. We further show how a rewriting of the degeneracy formula is amenable, at a semi-classical level, to a gravitational interpretation involving 2D Euclidean wormholes. This alternative picture is useful to elucidate different aspects of the gravitational path integral capturing the microstate degeneracies. We also comment on the relation between the associated 1D holographic models.
