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Deformed BF theory as a theory of gravity and supergravity
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Thesis provides an analysis of various aspects theory of gravity seen as a deformation of a topological SO(2,3) BF theory. Considered framework, originating from the 70's and known as MacDowell-Mansouri gravity, assures the most general form of action, containing the Einstein-Cartan action with a negative cosmological constant, the Holst term, and the topological Euler, Pontryagin and Nieh-Yan invariants. Main goal was to investigate the presence of Barbero-Immirzi parameter in the context of supergravity, as well as black hole thermodynamics arising from the gravitational Noether charges.
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Charges of supergravity
In N=1 supergravity as constrained BF theory, the algebra of boundary charges matches the superalgebra with translational charges vanishing on-shell from the super-torsion constraint.
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