Covariant hamiltonian for supergravity in d=3 and d=4 · arXivDesk
2002.05523Feb 11, 202024 pages, LaTeX. v2: added Notes in Section 2 and Section 3. A summary of the covariant hamiltonian formalism, included in Section 2 for self-consistency, produces some overlap with arXiv:1906.11852
Covariant hamiltonian for supergravity in d=3 and d=4
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
Nearby in the stack
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.