Higher spin quasinormal modes and one-loop determinants in the BTZ black hole

TL;DR

This paper derives exact quasinormal modes for higher spin fields in the BTZ black hole, confirms their correspondence with dual CFT poles, and computes the one-loop determinants, validating recent heat kernel results.

Contribution

It provides explicit solutions for higher spin quasinormal modes and connects them to dual CFT poles, also deriving the one-loop determinant using these modes.

Findings

Quasinormal modes match CFT pole locations

One-loop determinants agree with heat kernel calculations

Explicit solutions for arbitrary integer spin fields

Abstract

We solve the wave equations of arbitrary integer spin fields in the BTZ black hole background and obtain exact expressions for their quasinormal modes. We show that these quasinormal modes precisely agree with the location of the poles of the corresponding two point function in the dual conformal field theory as predicted by the AdS/CFT correspondence. We then use these quasinormal modes to construct the one-loop determinant of the higher spin field in the thermal BTZ background. This is shown to agree with that obtained from the corresponding heat kernel constructed recently by group theoretic methods.