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arXiv · 2206.14680

Boundary structure of gauge and matter fields coupled to gravity

Giovanni Canepa·Alberto S. Cattaneo·Filippo Fila-Robattino
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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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Giovanni Canepa, Alberto S. Cattaneo, Filippo Fila-Robattino. 2022-06-29. Boundary structure of gauge and matter fields coupled to gravity. https://doi.org/10.4310/atmp.241030222446

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