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

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 inter...

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Bibliographic Details
Published in:Annales Henri Poincaré 2024, Vol.25 (5), p.2585-2639
Main Authors: Canepa, Giovanni, Cattaneo, Alberto S.
Format: Article
Language:English
Subjects:
Classical and Quantum Gravitation
Dynamical Systems and Ergodic Theory
Elementary Particles
Formalism
Isomorphism
Mathematical and Computational Physics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Quantum Field Theory
Quantum Physics
Relativity
Relativity Theory
Theoretical
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Summary: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.
ISSN:1424-0637
1424-0661
DOI:10.1007/s00023-023-01360-8