Abstract
We extend the covariant canonical formalism recently discussed in ref. [1] to geometric theories coupled to both bosonic and fermionic p-forms. This allows a covariant hamiltonian treatment of supergravity theories. As examples we present the covariant hamiltonian formulation for d = 3 anti-De Sitter supergravity and for the “new minimal” d = 4, N = 1 supergravity (with 1-form and 2-form auxiliary fields). Form-Poisson brackets and form-Dirac brackets are defined, and used to find the form-canonical generators of all gauge symmetries via an algorithmic procedure.
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Castellani, L. Covariant hamiltonian for supergravity in d = 3 and d = 4. J. High Energ. Phys. 2020, 169 (2020). https://doi.org/10.1007/JHEP04(2020)169
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DOI: https://doi.org/10.1007/JHEP04(2020)169