Extracting Edge Modes: Reduction of 3D and 2D Gravities

Fuente: arXiv
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Auteurs principaux: Joung, Euihun, Kim, Sejin
Format: Preprint
Publié: 2025
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author Joung, Euihun
Kim, Sejin
author_facet Joung, Euihun
Kim, Sejin
contents We investigate the boundary reduction of 3D Einstein gravity and JT gravity into their respective edge mode theories - namely, the Liouville and Alekseev-Shatashvili, and Schwarzian models. By examining the roles of boundary conditions, canonical transformations, and differing formulations - metric versus Chern-Simons - we clarify how physical degrees of freedom become localized at the boundary and resolve several long-standing ambiguities in the reduction procedure.
format Preprint
id arxiv_https___arxiv_org_abs_2509_09239
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Extracting Edge Modes: Reduction of 3D and 2D Gravities
Joung, Euihun
Kim, Sejin
High Energy Physics - Theory
We investigate the boundary reduction of 3D Einstein gravity and JT gravity into their respective edge mode theories - namely, the Liouville and Alekseev-Shatashvili, and Schwarzian models. By examining the roles of boundary conditions, canonical transformations, and differing formulations - metric versus Chern-Simons - we clarify how physical degrees of freedom become localized at the boundary and resolve several long-standing ambiguities in the reduction procedure.
title Extracting Edge Modes: Reduction of 3D and 2D Gravities
topic High Energy Physics - Theory
url https://arxiv.org/abs/2509.09239