Equivalence of JT gravity and near-extremal black hole dynamics in higher derivative theory
Abstract Two derivative Jackiw-Teitelboim (JT) gravity theory captures the near-horizon dynamics of higher dimensional near-extremal black holes, which is governed by a Schwarzian action at the boundary in the near-horizon region. The partition function corresponding to this boundary action correctl...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2022-01-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2022)124 |
| _version_ | 1818941768859648000 |
|---|---|
| author | Nabamita Banerjee Taniya Mandal Arnab Rudra Muktajyoti Saha |
| author_facet | Nabamita Banerjee Taniya Mandal Arnab Rudra Muktajyoti Saha |
| author_sort | Nabamita Banerjee |
| collection | DOAJ |
| description | Abstract Two derivative Jackiw-Teitelboim (JT) gravity theory captures the near-horizon dynamics of higher dimensional near-extremal black holes, which is governed by a Schwarzian action at the boundary in the near-horizon region. The partition function corresponding to this boundary action correctly gives the statistical entropy of the near-extremal black hole. In this paper, we study the thermodynamics of spherically symmetric four-dimensional near-extremal black holes in presence of arbitrary perturbative four derivative corrections. We find that the near-horizon dynamics is again captured by a JT-like action with a particular namely R 2 higher derivative modification. Effectively the theory is described by a boundary Schwarzian action which gets suitably modified due to the presence of the higher derivative interactions. Near-extremal entropy, free energy also get corrected accordingly. |
| first_indexed | 2024-12-20T07:00:47Z |
| format | Article |
| id | doaj.art-a3746afa5fe14c69a6ba159f7ffd75ec |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-20T07:00:47Z |
| publishDate | 2022-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-a3746afa5fe14c69a6ba159f7ffd75ec2022-12-21T19:49:12ZengSpringerOpenJournal of High Energy Physics1029-84792022-01-012022113710.1007/JHEP01(2022)124Equivalence of JT gravity and near-extremal black hole dynamics in higher derivative theoryNabamita Banerjee0Taniya Mandal1Arnab Rudra2Muktajyoti Saha3Indian Institute of Science Education and Research BhopalSchool of Physics and Mandelstam Institute for Theoretical Physics, University of the WitwatersrandIndian Institute of Science Education and Research BhopalIndian Institute of Science Education and Research BhopalAbstract Two derivative Jackiw-Teitelboim (JT) gravity theory captures the near-horizon dynamics of higher dimensional near-extremal black holes, which is governed by a Schwarzian action at the boundary in the near-horizon region. The partition function corresponding to this boundary action correctly gives the statistical entropy of the near-extremal black hole. In this paper, we study the thermodynamics of spherically symmetric four-dimensional near-extremal black holes in presence of arbitrary perturbative four derivative corrections. We find that the near-horizon dynamics is again captured by a JT-like action with a particular namely R 2 higher derivative modification. Effectively the theory is described by a boundary Schwarzian action which gets suitably modified due to the presence of the higher derivative interactions. Near-extremal entropy, free energy also get corrected accordingly.https://doi.org/10.1007/JHEP01(2022)1242D GravityBlack HolesEffective Field TheoriesField Theories in Lower Dimensions |
| spellingShingle | Nabamita Banerjee Taniya Mandal Arnab Rudra Muktajyoti Saha Equivalence of JT gravity and near-extremal black hole dynamics in higher derivative theory Journal of High Energy Physics 2D Gravity Black Holes Effective Field Theories Field Theories in Lower Dimensions |
| title | Equivalence of JT gravity and near-extremal black hole dynamics in higher derivative theory |
| title_full | Equivalence of JT gravity and near-extremal black hole dynamics in higher derivative theory |
| title_fullStr | Equivalence of JT gravity and near-extremal black hole dynamics in higher derivative theory |
| title_full_unstemmed | Equivalence of JT gravity and near-extremal black hole dynamics in higher derivative theory |
| title_short | Equivalence of JT gravity and near-extremal black hole dynamics in higher derivative theory |
| title_sort | equivalence of jt gravity and near extremal black hole dynamics in higher derivative theory |
| topic | 2D Gravity Black Holes Effective Field Theories Field Theories in Lower Dimensions |
| url | https://doi.org/10.1007/JHEP01(2022)124 |
| work_keys_str_mv | AT nabamitabanerjee equivalenceofjtgravityandnearextremalblackholedynamicsinhigherderivativetheory AT taniyamandal equivalenceofjtgravityandnearextremalblackholedynamicsinhigherderivativetheory AT arnabrudra equivalenceofjtgravityandnearextremalblackholedynamicsinhigherderivativetheory AT muktajyotisaha equivalenceofjtgravityandnearextremalblackholedynamicsinhigherderivativetheory |