We relate the heat kernel and quasinormal mode methods of computing the 1-loop partition function of arbitrary spin fields on a rotating (Euclidean) BTZ background using the Selberg zeta function associated with ℍ3/ℤ, extending (arXiv:1811.08433) . Previously, Perry and Williams  showed for a scalar field that the zeros of the Selberg zeta function coincide with the poles of the associated scattering operator upon a relabeling of integers. We extend the integer relabeling to the case of general spin, and discuss its relationship to the removal of non-square-integrable Euclidean zero modes.
|Original language||English (US)|
|Journal||Journal of High Energy Physics|
|State||Published - Oct 1 2020|
- Black Holes
- Higher Spin Gravity
ASJC Scopus subject areas
- Nuclear and High Energy Physics