The effect of resummation on retarded Green's function and greybody factor in $AdS$ black holes
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866914947422748672 |
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| author | Amado, Julián Barragán Chakrabortty, Shankhadeep Maurya, Arpit |
| author_facet | Amado, Julián Barragán Chakrabortty, Shankhadeep Maurya, Arpit |
| contents | We investigate the retarded Green's function and the greybody factor in asymptotically AdS black holes. Using the connection coefficients of the Heun equation, expressed in terms of the Nekrasov-Shatashvili (NS) free energy of an $SU(2)$ supersymmetric gauge theory with four fundamental hypermultiplets, we derive asymptotic expansions for both the retarded Green's function and the greybody factor in the small horizon limit. Furthermore, we compute the corrections to these asymptotic expansions resulting from the resummation procedure of the instanton part of the NS function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_07370 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The effect of resummation on retarded Green's function and greybody factor in $AdS$ black holes Amado, Julián Barragán Chakrabortty, Shankhadeep Maurya, Arpit High Energy Physics - Theory General Relativity and Quantum Cosmology We investigate the retarded Green's function and the greybody factor in asymptotically AdS black holes. Using the connection coefficients of the Heun equation, expressed in terms of the Nekrasov-Shatashvili (NS) free energy of an $SU(2)$ supersymmetric gauge theory with four fundamental hypermultiplets, we derive asymptotic expansions for both the retarded Green's function and the greybody factor in the small horizon limit. Furthermore, we compute the corrections to these asymptotic expansions resulting from the resummation procedure of the instanton part of the NS function. |
| title | The effect of resummation on retarded Green's function and greybody factor in $AdS$ black holes |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2409.07370 |