BTZ one-loop determinants via the Selberg zeta function for general spin
arXiv:1910.07607 · doi:10.1007/JHEP10(2020)138
Abstract
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 , extending (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.
References in corpus (21)
- The Black Hole in Three Dimensional Space Time
- Heat kernel expansion: user's manual
- Nonlinear Equations for Symmetric Massless Higher Spin Fields in
- The (2+1)-Dimensional Black Hole
- Conformal Field Theory Interpretation of Black Hole Quasi-normal Modes
- On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces
- Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
- One-loop Partition Functions of 3D Gravity
- Logarithmic Corrections to N=2 Black Hole Entropy: An Infrared Window into the Microstates
- Holographic entanglement beyond classical gravity
- Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
- Quantum oscillations and black hole ringing
- Black hole determinants and quasinormal modes
- The Heat Kernel on AdS_3 and its Applications
- A de Sitter Farey Tail
- The Heat Kernel on
- Tweaking one-loop determinants in AdS
- Higher spin quasinormal modes and one-loop determinants in the BTZ black hole
- Partition Functions in Even Dimensional AdS via Quasinormal Mode Methods
- Higher spin fermions in the BTZ black hole
- Connecting quasinormal modes and heat kernels in 1-loop determinants