Derivation of All Symmetries from First Class Constraints and Quantization in 2+1 Dimensional Supergravity

D. G. C. McKeon

Published 2012-03-27, updated 2013-07-08Version 2

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.