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Boundary structure of gauge and matter fields coupled to gravity
Published 29 Jun 2022 in math-ph, gr-qc, hep-th, math.MP, and math.SG | (2206.14680v2)
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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