Supergravity as a constrained BF theory

Abstract

In this paper we formulate $\mathcal{N}=1$ supergravity as a constrained $BF$ theory with $OSp(4|1)$ gauge superalgebra. We derive the modified supergravity Lagrangian that, apart from the standard supergravity with negative cosmological constant, contains terms proportional to the (inverse of) Immirzi parameter. Although these terms do not change classical field equations, they might be relevant in quantum theory. We briefly discuss the perturbation theory around the supersymmetric topological vacuum.

7 pages, no figures

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Cited by in corpus (6)

• $BF$ gravity
• AdS--Maxwell superalgebra and supergravity
• Entropic force approach in a noncommutative charged black hole and the equivalence principle
• Immirzi parameter and Noether charges in first order gravity
• Deformed BF theory as a theory of gravity and supergravity
• A tale of two theories of gravity in asymptotically Anti-de Sitter spacetime