Three-dimensional Quantum Supergravity and Supersymmetric Spin Foam Models
Three-dimensional Quantum Supergravity and Supersymmetric Spin Foam Models
We show how super BF theory in any dimension can be quantized as a spin foam model, generalizing the situation for ordinary BF theory.This is a first step toward quantizing supergravity theories.We investigate in particular 3-dimensional (p = 1, q = 1) supergravity which we quantize exactly.We obtain a super-Ponzano-Regge …