Gravitational edge mode in N $$ \mathcal{N} $$ = 1 Jackiw-Teitelboim supergravity
Abstract We study the gravitational edge mode in the N $$ \mathcal{N} $$ = 1 Jackiw-Teitelboim (JT) supergravity on the disk and its osp(2|1) BF formulation. We revisit the derivation of the finite-temperature Schwarzian action in the conformal gauge of the bosonic JT gravity through wiggling bounda...
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SpringerOpen
2024-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2024)011 |
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| author | Kyung-Sun Lee Akhil Sivakumar Junggi Yoon |
| author_facet | Kyung-Sun Lee Akhil Sivakumar Junggi Yoon |
| author_sort | Kyung-Sun Lee |
| collection | DOAJ |
| description | Abstract We study the gravitational edge mode in the N $$ \mathcal{N} $$ = 1 Jackiw-Teitelboim (JT) supergravity on the disk and its osp(2|1) BF formulation. We revisit the derivation of the finite-temperature Schwarzian action in the conformal gauge of the bosonic JT gravity through wiggling boundary and the frame fluctuation descriptions. Extending our method to N $$ \mathcal{N} $$ = 1 JT supergravity, we derive the finite-temperature super-Schwarzian action for the edge mode from both the wiggling boundary and the superframe field fluctuation. We emphasize the crucial role of the inversion of the super-Schwarzian derivative in elucidating the relation between the isometry and the OSp(2|1) gauging of the super-Schwarzian action. In osp(2|1) BF formulation, we discuss the asymptotic AdS condition. We employ the Iwasawa-like decomposition of OSp(2|1) group element to derive the super-Schwarzian action at finite temperature. We demonstrate that the OSp(2|1) gauging arises from inherent redundancy in the Iwasawa-like decomposition. We also discuss the path integral measure obtained from the Haar measure of OSp(2|1). |
| format | Article |
| id | doaj-art-57be9e2f0f8d40e0a5fa06070773d124 |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-57be9e2f0f8d40e0a5fa06070773d1242025-08-20T02:32:49ZengSpringerOpenJournal of High Energy Physics1029-84792024-08-012024813510.1007/JHEP08(2024)011Gravitational edge mode in N $$ \mathcal{N} $$ = 1 Jackiw-Teitelboim supergravityKyung-Sun Lee0Akhil Sivakumar1Junggi Yoon2School of Physics, Korea Institute for Advanced StudyAsia Pacific Center for Theoretical PhysicsSchool of Physics, Korea Institute for Advanced StudyAbstract We study the gravitational edge mode in the N $$ \mathcal{N} $$ = 1 Jackiw-Teitelboim (JT) supergravity on the disk and its osp(2|1) BF formulation. We revisit the derivation of the finite-temperature Schwarzian action in the conformal gauge of the bosonic JT gravity through wiggling boundary and the frame fluctuation descriptions. Extending our method to N $$ \mathcal{N} $$ = 1 JT supergravity, we derive the finite-temperature super-Schwarzian action for the edge mode from both the wiggling boundary and the superframe field fluctuation. We emphasize the crucial role of the inversion of the super-Schwarzian derivative in elucidating the relation between the isometry and the OSp(2|1) gauging of the super-Schwarzian action. In osp(2|1) BF formulation, we discuss the asymptotic AdS condition. We employ the Iwasawa-like decomposition of OSp(2|1) group element to derive the super-Schwarzian action at finite temperature. We demonstrate that the OSp(2|1) gauging arises from inherent redundancy in the Iwasawa-like decomposition. We also discuss the path integral measure obtained from the Haar measure of OSp(2|1).https://doi.org/10.1007/JHEP08(2024)0112D GravitySupergravity ModelsSuperspacesModels of Quantum Gravity |
| spellingShingle | Kyung-Sun Lee Akhil Sivakumar Junggi Yoon Gravitational edge mode in N $$ \mathcal{N} $$ = 1 Jackiw-Teitelboim supergravity Journal of High Energy Physics 2D Gravity Supergravity Models Superspaces Models of Quantum Gravity |
| title | Gravitational edge mode in N $$ \mathcal{N} $$ = 1 Jackiw-Teitelboim supergravity |
| title_full | Gravitational edge mode in N $$ \mathcal{N} $$ = 1 Jackiw-Teitelboim supergravity |
| title_fullStr | Gravitational edge mode in N $$ \mathcal{N} $$ = 1 Jackiw-Teitelboim supergravity |
| title_full_unstemmed | Gravitational edge mode in N $$ \mathcal{N} $$ = 1 Jackiw-Teitelboim supergravity |
| title_short | Gravitational edge mode in N $$ \mathcal{N} $$ = 1 Jackiw-Teitelboim supergravity |
| title_sort | gravitational edge mode in n mathcal n 1 jackiw teitelboim supergravity |
| topic | 2D Gravity Supergravity Models Superspaces Models of Quantum Gravity |
| url | https://doi.org/10.1007/JHEP08(2024)011 |
| work_keys_str_mv | AT kyungsunlee gravitationaledgemodeinnmathcaln1jackiwteitelboimsupergravity AT akhilsivakumar gravitationaledgemodeinnmathcaln1jackiwteitelboimsupergravity AT junggiyoon gravitationaledgemodeinnmathcaln1jackiwteitelboimsupergravity |