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Corner Structure of Four-Dimensional General Relativity in the Coframe Formalism

Canepa, Giovanni; Cattaneo, Alberto S (2024). Corner Structure of Four-Dimensional General Relativity in the Coframe Formalism. Annales Henri Poincaré, 25(5):2585-2639.

Abstract

This note describes a local Poisson structure (up to homotopy) associated with corners in four-dimensional gravity in the coframe (Palatini–Cartan) formalism. This is achieved through the use of the BFV formalism. The corner structure contains in particular an Atiyah algebroid that couples the internal symmetries to diffeomorphisms. The relation with BF theory is also described.

Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Statistical and Nonlinear Physics
Physical Sciences > Nuclear and High Energy Physics
Physical Sciences > Mathematical Physics
Uncontrolled Keywords:Mathematical Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
Language:English
Date:1 May 2024
Deposited On:10 Oct 2023 15:11
Last Modified:29 Dec 2024 02:40
Publisher:Springer
ISSN:1424-0637
OA Status:Hybrid
Publisher DOI:https://doi.org/10.1007/s00023-023-01360-8
Project Information:
  • Funder: University of Vienna
  • Grant ID:
  • Project Title:
  • Funder: SNF Grant
  • Grant ID: 200020 192080
  • Project Title:
  • Funder: SNF
  • Grant ID: P500PT 203085
  • Project Title:
  • Funder: Simons Collaboration on Global Categorical Symmetries
  • Grant ID:
  • Project Title:
  • Funder: NCCR SwissMAP
  • Grant ID:
  • Project Title:
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  • Language: English
  • Licence: Creative Commons: Attribution 4.0 International (CC BY 4.0)

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