BTZ one-loop determinants via the Selberg zeta function for general spin

Cynthia Keeler, Victoria L. Martin*, Andrew Svesko

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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) [1]. Previously, Perry and Williams [2] 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 languageEnglish
Article number138
JournalJournal of High Energy Physics
Issue number10
Publication statusPublished - 1 Oct 2020

Bibliographical note

Publisher Copyright:
© 2020, The Author(s).

Other keywords

  • Black Holes
  • Higher Spin Gravity


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