Higher spin fermions in the BTZ black hole
arXiv:1202.5831 · doi:10.1007/JHEP07(2012)079
Abstract
Recently it has been shown that the wave equations of bosonic higher spin fields in the BTZ background can be solved exactly. In this work we extend this analysis to fermionic higher spin fields. We solve the wave equations for arbitrary half-integer spin fields in the BTZ black hole background and obtain exact expressions for their quasinormal modes. These quasinormal modes are shown to agree precisely with the poles of the corresponding two point function in the dual conformal field theory as predicted by the AdS/CFT correspondence. We also obtain an expression for the 1-loop determinant in terms of the quasinormal modes and show it agrees with that obtained by integrating the heat kernel found by group theoretic methods.
29 pages
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Cited by in corpus (7)
- Renyi entropies of free bosons on the torus and holography
- Partition Functions in Even Dimensional AdS via Quasinormal Mode Methods
- BTZ one-loop determinants via the Selberg zeta function for general spin
- Computing black hole partition functions from quasinormal modes
- Spin 1/2 quasinormal mode frequencies in Schwarzschild-AdS spacetime
- Gravitino and other spin-3/2 quasinormal modes in Schwarzschild-AdS spacetime
- Higher spin partition functions via the quasinormal mode method in de Sitter quantum gravity