Derivation of all symmetries from first-class constraints and quantization in 2 + 1 dimensional supergravity

摘要

The first class constraints in N = 1 supergravity in 2 +,1 dimensions are used to construct a generator of three gauge symmetries (including a local supersymmetry) that leave the action invariant. The algebra of these symmetries closes. This generator is used to quantize the model; a ghost involving both bosonic and fermionic components arises.