Phys. Rev. D 81, 045022 (2010) [6 pages]Supergravity as a constrained BF theoryReceived 10 December 2009; published 25 February 2010 In this paper we formulate N=1 supergravity as a constrained BF theory with OSp(4|1) gauge superalgebra. We derive the modified supergravity Lagrangian that, apart from standard supergravity with a negative cosmological constant, contains terms proportional to the (inverse of the) 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. © 2010 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevD.81.045022
DOI:
10.1103/PhysRevD.81.045022
PACS:
04.65.+e
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