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

Cynthia Keeler; Victoria L. Martin; Andrew Svesko

doi:10.1007/JHEP10(2020)138

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

Cynthia Keeler, Victoria L. Martin, Andrew Svesko

Physics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 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 language	English (US)
Article number	138
Journal	Journal of High Energy Physics
Volume	2020
Issue number	10
DOIs	https://doi.org/10.1007/JHEP10(2020)138
State	Published - Oct 1 2020

Keywords

Black Holes
Higher Spin Gravity

ASJC Scopus subject areas

Nuclear and High Energy Physics

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10.1007/JHEP10(2020)138

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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 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.",

keywords = "Black Holes, Higher Spin Gravity",

author = "Cynthia Keeler and Martin, {Victoria L.} and Andrew Svesko",

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T1 - BTZ one-loop determinants via the Selberg zeta function for general spin

AU - Keeler, Cynthia

AU - Martin, Victoria L.

AU - Svesko, Andrew

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N2 - 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.

AB - 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.

KW - Black Holes

KW - Higher Spin Gravity

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JF - Journal of High Energy Physics

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

Abstract

Keywords

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