Finite temperature corrections to black hole quasinormal modes from 2D CFT
Abstract We revisit the holographic calculation of the decay modes of the BTZ blackhole perturbed by a scalar probe. We carry out a finite temperature expansion of the torus two point function of large central charge (c) CFTs in order to obtain the corrections to blackhole quasinormal modes. We take...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2022)150 |
| _version_ | 1818497909524529152 |
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| author | Sanchari Pal |
| author_facet | Sanchari Pal |
| author_sort | Sanchari Pal |
| collection | DOAJ |
| description | Abstract We revisit the holographic calculation of the decay modes of the BTZ blackhole perturbed by a scalar probe. We carry out a finite temperature expansion of the torus two point function of large central charge (c) CFTs in order to obtain the corrections to blackhole quasinormal modes. We take the contribution of the lightest primary above the vacuum, with dimension ∆ χ and upper bound of c/6, in the torus two point function. We exploit the modular properties of 2D CFT on the torus to connect the expression of thermal two point function at high temperature with the same at low temperature. The correction term can be expressed as a four point function on the Riemann sphere. In the dual bulk theory the corrections are expected to arise due to the presence of a light matter field in the spacetime along with gravity. In the holographic limit the effects of this correction term is encoded in the change in blackhole temperature. This leads to new quasinormal modes and modification of thermalization time scale. |
| first_indexed | 2024-12-10T18:51:20Z |
| format | Article |
| id | doaj.art-f54dfdeb85ad48f9af379aa0c1aab45d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-10T18:51:20Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-f54dfdeb85ad48f9af379aa0c1aab45d2022-12-22T01:37:18ZengSpringerOpenJournal of High Energy Physics1029-84792022-08-012022811910.1007/JHEP08(2022)150Finite temperature corrections to black hole quasinormal modes from 2D CFTSanchari Pal0Department of Physics, Indian Institute of Technology — KanpurAbstract We revisit the holographic calculation of the decay modes of the BTZ blackhole perturbed by a scalar probe. We carry out a finite temperature expansion of the torus two point function of large central charge (c) CFTs in order to obtain the corrections to blackhole quasinormal modes. We take the contribution of the lightest primary above the vacuum, with dimension ∆ χ and upper bound of c/6, in the torus two point function. We exploit the modular properties of 2D CFT on the torus to connect the expression of thermal two point function at high temperature with the same at low temperature. The correction term can be expressed as a four point function on the Riemann sphere. In the dual bulk theory the corrections are expected to arise due to the presence of a light matter field in the spacetime along with gravity. In the holographic limit the effects of this correction term is encoded in the change in blackhole temperature. This leads to new quasinormal modes and modification of thermalization time scale.https://doi.org/10.1007/JHEP08(2022)150AdS-CFT CorrespondenceBlack Holes |
| spellingShingle | Sanchari Pal Finite temperature corrections to black hole quasinormal modes from 2D CFT Journal of High Energy Physics AdS-CFT Correspondence Black Holes |
| title | Finite temperature corrections to black hole quasinormal modes from 2D CFT |
| title_full | Finite temperature corrections to black hole quasinormal modes from 2D CFT |
| title_fullStr | Finite temperature corrections to black hole quasinormal modes from 2D CFT |
| title_full_unstemmed | Finite temperature corrections to black hole quasinormal modes from 2D CFT |
| title_short | Finite temperature corrections to black hole quasinormal modes from 2D CFT |
| title_sort | finite temperature corrections to black hole quasinormal modes from 2d cft |
| topic | AdS-CFT Correspondence Black Holes |
| url | https://doi.org/10.1007/JHEP08(2022)150 |
| work_keys_str_mv | AT sancharipal finitetemperaturecorrectionstoblackholequasinormalmodesfrom2dcft |