A Selberg zeta function for warped AdS3 black holes
Abstract The Selberg zeta function and trace formula are powerful tools used to calculate kinetic operator spectra and quasinormal modes on hyperbolic quotient spacetimes. In this article, we extend this formalism to non-hyperbolic quotients by constructing a Selberg zeta function for warped AdS3 bl...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2023)049 |
| _version_ | 1797836717671055360 |
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| author | Victoria L. Martin Rahul Poddar Agla Þórarinsdóttir |
| author_facet | Victoria L. Martin Rahul Poddar Agla Þórarinsdóttir |
| author_sort | Victoria L. Martin |
| collection | DOAJ |
| description | Abstract The Selberg zeta function and trace formula are powerful tools used to calculate kinetic operator spectra and quasinormal modes on hyperbolic quotient spacetimes. In this article, we extend this formalism to non-hyperbolic quotients by constructing a Selberg zeta function for warped AdS3 black holes. We also consider the so-called self-dual solutions, which are of interest in connection to near-horizon extremal Kerr. We establish a map between the zeta function zeroes and the quasinormal modes on warped AdS3 black hole backgrounds. In the process, we use a method involving conformal coordinates and the symmetry structure of the scalar Laplacian to construct a warped version of the hyperbolic half-space metric, which to our knowledge is new and may have interesting applications of its own, which we describe. We end by discussing several future directions for this work, such as computing 1-loop determinants (which govern quantum corrections) on the quotient spacetimes we consider, as well as adapting the formalism presented here to more generic orbifolds. |
| first_indexed | 2024-04-09T15:13:27Z |
| format | Article |
| id | doaj.art-ef17e49a893c4bb987dea1d3d5e560db |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-09T15:13:27Z |
| publishDate | 2023-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-ef17e49a893c4bb987dea1d3d5e560db2023-04-30T11:05:14ZengSpringerOpenJournal of High Energy Physics1029-84792023-01-012023112710.1007/JHEP01(2023)049A Selberg zeta function for warped AdS3 black holesVictoria L. Martin0Rahul Poddar1Agla Þórarinsdóttir2Science Institute, University of IcelandScience Institute, University of IcelandScience Institute, University of IcelandAbstract The Selberg zeta function and trace formula are powerful tools used to calculate kinetic operator spectra and quasinormal modes on hyperbolic quotient spacetimes. In this article, we extend this formalism to non-hyperbolic quotients by constructing a Selberg zeta function for warped AdS3 black holes. We also consider the so-called self-dual solutions, which are of interest in connection to near-horizon extremal Kerr. We establish a map between the zeta function zeroes and the quasinormal modes on warped AdS3 black hole backgrounds. In the process, we use a method involving conformal coordinates and the symmetry structure of the scalar Laplacian to construct a warped version of the hyperbolic half-space metric, which to our knowledge is new and may have interesting applications of its own, which we describe. We end by discussing several future directions for this work, such as computing 1-loop determinants (which govern quantum corrections) on the quotient spacetimes we consider, as well as adapting the formalism presented here to more generic orbifolds.https://doi.org/10.1007/JHEP01(2023)049Black HolesDifferential and Algebraic GeometrySpace-Time Symmetries |
| spellingShingle | Victoria L. Martin Rahul Poddar Agla Þórarinsdóttir A Selberg zeta function for warped AdS3 black holes Journal of High Energy Physics Black Holes Differential and Algebraic Geometry Space-Time Symmetries |
| title | A Selberg zeta function for warped AdS3 black holes |
| title_full | A Selberg zeta function for warped AdS3 black holes |
| title_fullStr | A Selberg zeta function for warped AdS3 black holes |
| title_full_unstemmed | A Selberg zeta function for warped AdS3 black holes |
| title_short | A Selberg zeta function for warped AdS3 black holes |
| title_sort | selberg zeta function for warped ads3 black holes |
| topic | Black Holes Differential and Algebraic Geometry Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP01(2023)049 |
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