Black hole horizon edge partition functions

被引:0
作者
Manvir Grewal
Y. T. Albert Law
Klaas Parmentier
机构
[1] Columbia University,Center for Theoretical Physics
[2] Harvard University,Center for the Fundamental Laws of Nature
[3] Harvard University,Black Hole Initiative
来源
Journal of High Energy Physics | / 2023卷
关键词
Black Holes; Models of Quantum Gravity; Thermal Field Theory;
D O I
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学科分类号
摘要
We extend a formula for 1-loop black hole determinants by Denef, Hartnoll, and Sachdev (DHS) to spinning fields on any (d + 1)-dimensional static spherically symmetric black hole. By carefully analyzing the regularity condition imposed on the Euclidean eigenfunctions, we reveal an unambiguous bulk-edge split in the 1-loop Euclidean partition function for tensor fields of arbitrary integer spin: the bulk part captures the “renormalized” thermal canonical partition function recently discussed in [1]; the edge part is related to quasinormal modes (QNMs) that fail to analytically continue to a subset of Euclidean modes with enhanced fall-offs near the origin. Since the edge part takes the form of a path integral on Sd−1, this suggests that these are associated with degrees of freedom living on the bifurcation surface in the Lorentzian two-sided black hole geometry. For massive higher spin on static BTZ and massive vector on Nariai black holes, we find that the edge partition function is related to the QNMs with lowest overtone numbers.
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