Gravity Coupled with Scalar, SU$(n)$, and Spinor Fields on Manifolds with Null-Boundary
Mathematical Physics
2025-11-18 v5 High Energy Physics - Theory
Differential Geometry
math.MP
Symplectic Geometry
Abstract
In this paper, we present a theory for gravity coupled with scalar, SU and spinor fields on manifolds with null-boundary. We perform the symplectic reduction of the space of boundary fields and give the constraints of the theory in terms of local functionals of boundary vielbein and connection. For the three different couplings, the analysis of the constraint algebra shows that the set of constraints does not form a first class system.
Cite
@article{arxiv.2401.09337,
title = {Gravity Coupled with Scalar, SU$(n)$, and Spinor Fields on Manifolds with Null-Boundary},
author = {Alberto S. Cattaneo and Filippo Fila-Robattino and Valentino Huang and Manuel Tecchiolli},
journal= {arXiv preprint arXiv:2401.09337},
year = {2025}
}