Covariant hamiltonian for supergravity in $d=3$ and $d=4$
High Energy Physics - Theory
2020-05-20 v2 General Relativity and Quantum Cosmology
Abstract
We extend the covariant canonical formalism recently discussed in ref. [1] to geometric theories coupled to both bosonic and fermionic -forms. This allows a covariant hamiltonian treatment of supergravity theories. As examples we present the covariant hamiltonian formulation for anti-De Sitter supergravity and for the "new minimal" , supergravity (with -form and -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.
Keywords
Cite
@article{arxiv.2002.05523,
title = {Covariant hamiltonian for supergravity in $d=3$ and $d=4$},
author = {Leonardo Castellani},
journal= {arXiv preprint arXiv:2002.05523},
year = {2020}
}
Comments
24 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