Gravity Coupled with Scalar, SU$(n)$, and Spinor Fields on Manifolds with Null-Boundary

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Autori principali: Cattaneo, Alberto S., Fila-Robattino, Filippo, Huang, Valentino, Tecchiolli, Manuel
Natura: Preprint
Pubblicazione: 2024
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author Cattaneo, Alberto S.
Fila-Robattino, Filippo
Huang, Valentino
Tecchiolli, Manuel
author_facet Cattaneo, Alberto S.
Fila-Robattino, Filippo
Huang, Valentino
Tecchiolli, Manuel
contents In this paper, we present a theory for gravity coupled with scalar, SU$(n)$ 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.
format Preprint
id arxiv_https___arxiv_org_abs_2401_09337
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Gravity Coupled with Scalar, SU$(n)$, and Spinor Fields on Manifolds with Null-Boundary
Cattaneo, Alberto S.
Fila-Robattino, Filippo
Huang, Valentino
Tecchiolli, Manuel
Mathematical Physics
High Energy Physics - Theory
Differential Geometry
Symplectic Geometry
In this paper, we present a theory for gravity coupled with scalar, SU$(n)$ 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.
title Gravity Coupled with Scalar, SU$(n)$, and Spinor Fields on Manifolds with Null-Boundary
topic Mathematical Physics
High Energy Physics - Theory
Differential Geometry
Symplectic Geometry
url https://arxiv.org/abs/2401.09337