Boundary structure of gauge and matter fields coupled to gravity
Mathematical Physics
2024-12-23 v2 General Relativity and Quantum Cosmology
High Energy Physics - Theory
math.MP
Symplectic Geometry
Abstract
The boundary structure of -dimensional gravity (in the Palatini-Cartan formalism) coupled to to gauge (Yang-Mills) and matter (scalar and spinorial) fields is described through the use of the Kijowski-Tulczijew construction. In particular, the reduced phase space is obtained as the reduction of a symplectic space by some first class constraints and a cohomological description (BFV) of it is presented.
Keywords
Cite
@article{arxiv.2206.14680,
title = {Boundary structure of gauge and matter fields coupled to gravity},
author = {Giovanni Canepa and Alberto S. Cattaneo and Filippo Fila-Robattino},
journal= {arXiv preprint arXiv:2206.14680},
year = {2024}
}
Comments
59 pages. Some minor corrections. Close to published version