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Boundary structure of gauge and matter fields coupled to gravity

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arxiv 2206.14680 v2 pith:RWMFHMSQ submitted 2022-06-29 math-ph gr-qchep-thmath.MPmath.SG

Giovanni Canepa , Alberto S. Cattaneo , Filippo Fila-Robattino This is my paper · ORCID
classification math-phgr-qchep-thmath.MPmath.SG
keywords boundarycoupledfieldsgaugegravitymatterspacestructure
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abstract

The boundary structure of $3+1$-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.

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  1. 3D Supergravity in the Batalin-Vilkovisky Formalism

    hep-th 2024-12 conditional novelty 6.0 of 10

    A BV action for 3D supergravity is obtained by proving the Rarita-Schwinger theory is symplectomorphic to a BF supergravity AKSZ theory.

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