KdV conformal symmetry breaking in nearly AdS2
Abstract We study the gauge theory formulation of Jackiw-Teitelboim gravity and propose Korteweg-de Vries asymptotic conditions that generalize the asymptotic dynamics of the theory. They permit to construct an enlarged set of boundary actions formed by higher order generalizations of the Schwarzian...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP10(2024)052 |
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| author | Marcela Cárdenas |
| author_facet | Marcela Cárdenas |
| author_sort | Marcela Cárdenas |
| collection | DOAJ |
| description | Abstract We study the gauge theory formulation of Jackiw-Teitelboim gravity and propose Korteweg-de Vries asymptotic conditions that generalize the asymptotic dynamics of the theory. They permit to construct an enlarged set of boundary actions formed by higher order generalizations of the Schwarzian derivative that contain the Schwarzian as lower term in a tower of SL(2, ℝ) invariants. They are extracted from the KdV Hamiltonians and can be obtained recursively. As a result, the conformal symmetry breaking observed in nearly AdS2 is characterized by a much larger set of dynamical modes associated to the stationary KdV hierarchy. We study quantum perturbation theory for the generalized Schwarzian action including the symplectic measure and compute the one-loop correction to the partition function. We find that despite the non-linear nature of the higher-Schwarzian contribution, it acquires a manageable expression that renders a curious leading temperature dependence on the entropy S = #T a for a an odd integer. |
| format | Article |
| id | doaj-art-b21874b95eb049b7a9f1bc7f3520c36a |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-b21874b95eb049b7a9f1bc7f3520c36a2025-08-20T02:20:38ZengSpringerOpenJournal of High Energy Physics1029-84792024-10-0120241012310.1007/JHEP10(2024)052KdV conformal symmetry breaking in nearly AdS2Marcela Cárdenas0Facultad de Ingeniería, Arquitectura y Diseño, Universidad San SebastiánAbstract We study the gauge theory formulation of Jackiw-Teitelboim gravity and propose Korteweg-de Vries asymptotic conditions that generalize the asymptotic dynamics of the theory. They permit to construct an enlarged set of boundary actions formed by higher order generalizations of the Schwarzian derivative that contain the Schwarzian as lower term in a tower of SL(2, ℝ) invariants. They are extracted from the KdV Hamiltonians and can be obtained recursively. As a result, the conformal symmetry breaking observed in nearly AdS2 is characterized by a much larger set of dynamical modes associated to the stationary KdV hierarchy. We study quantum perturbation theory for the generalized Schwarzian action including the symplectic measure and compute the one-loop correction to the partition function. We find that despite the non-linear nature of the higher-Schwarzian contribution, it acquires a manageable expression that renders a curious leading temperature dependence on the entropy S = #T a for a an odd integer.https://doi.org/10.1007/JHEP10(2024)0522D GravityGauge-Gravity CorrespondenceField Theories in Lower DimensionsBlack Holes |
| spellingShingle | Marcela Cárdenas KdV conformal symmetry breaking in nearly AdS2 Journal of High Energy Physics 2D Gravity Gauge-Gravity Correspondence Field Theories in Lower Dimensions Black Holes |
| title | KdV conformal symmetry breaking in nearly AdS2 |
| title_full | KdV conformal symmetry breaking in nearly AdS2 |
| title_fullStr | KdV conformal symmetry breaking in nearly AdS2 |
| title_full_unstemmed | KdV conformal symmetry breaking in nearly AdS2 |
| title_short | KdV conformal symmetry breaking in nearly AdS2 |
| title_sort | kdv conformal symmetry breaking in nearly ads2 |
| topic | 2D Gravity Gauge-Gravity Correspondence Field Theories in Lower Dimensions Black Holes |
| url | https://doi.org/10.1007/JHEP10(2024)052 |
| work_keys_str_mv | AT marcelacardenas kdvconformalsymmetrybreakinginnearlyads2 |