TL;DR
This paper extends the BF-theory formulation of general relativity to supergravity using an OSp(2|1) invariant approach, linking constraints to the cosmological constant and discussing invariance properties.
Contribution
It introduces a supergravity extension of BF-theory with OSp(2|1) symmetry, connecting constraints to the cosmological constant in supergravity.
Findings
Supergravity extension formulated as an OSp(2|1) invariant BF-theory.
Constraints contribute to the cosmological constant in supergravity.
Discussion of Kalb-Ramond invariance in the supergravity context.
Abstract
General relativity can be formulated as a SU(2) BF-theory with constraints, as has been shown, by Pleba\'nski. The cosmological constant term can be obtained from the constraint term, following from the consistency of the equations of motion, as recently shown by Krasnov. We consider an invariant, supergravity extension of this theory, for which the consistency of the equations of motion and the constraints contribute as well to the cosmological constant terms of Townsend's supergravity. The Kalb-Ramond invariance is shortly discussed.
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