Corner Structure of Four-Dimensional General Relativity in the Coframe Formalism
Mathematical Physics
2024-04-17 v3 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Quantum Algebra
Symplectic Geometry
Abstract
This note describes a local Poisson structure (up to homotopy) associated to 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 theory is also described.
Keywords
Cite
@article{arxiv.2202.08684,
title = {Corner Structure of Four-Dimensional General Relativity in the Coframe Formalism},
author = {Giovanni Canepa and Alberto S. Cattaneo},
journal= {arXiv preprint arXiv:2202.08684},
year = {2024}
}
Comments
45 pages. Some minor corrections. Close to published version