1. Gravitational edge mode in N $$ \mathcal{N} $$ = 1 Jackiw-Teitelboim supergravity
- Author
-
Kyung-Sun Lee, Akhil Sivakumar, and Junggi Yoon
- Subjects
2D Gravity ,Supergravity Models ,Superspaces ,Models of Quantum Gravity ,Nuclear and particle physics. Atomic energy. Radioactivity ,QC770-798 - Abstract
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).
- Published
- 2024
- Full Text
- View/download PDF