Ashtekar's Formulation for N = 1, 2 Supergravities as "Constrained" BF Theories
Ashtekar's Formulation for N = 1, 2 Supergravities as "Constrained" BF Theories
It is known that Ashtekar's formulation for pure Einstein gravity can be cast into the form of a topological field theory, namely the $SU(2)$ BF theory, with the B-fields subject to an algebraic constraint. We extend this relation between Ashtekar's formalism and BF theories to $N=1$ and $N=2$ supergravities. The …