Black hole horizon edge partition functions

A bstract 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 hole. By carefully analyzing the regularity condition imposed Euclidean eigenfunctions, we reveal an unambiguous bulk-edge split in partition function tensor of arbitrary integer spin: bulk part captures “renormalized” thermal canonical recently discussed [1]; edge is related quasinormal modes (QNMs) that fail analytically continue subset with enhanced fall-offs near origin. Since takes form path integral S d− 1 , this suggests these are associated degrees freedom living bifurcation surface Lorentzian two-sided geometry. For massive higher spin BTZ vector Nariai holes, find QNMs lowest overtone numbers.