Derivation of Gauge Symmetries in Supergravity with a Cosmological Constant in 2 + 1 Dimensions
arXiv:2002.06954 · doi:10.1139/cjp-2019-0464
Abstract
The canonical structure of supergravity with a cosmological constant is analyzed in 2 + 1 dimensions using the Dirac constraint formalism. The first class constraints are used to find two Bosonic and one Fermionic gauge symmetries that satisfy a superalgebra. Provided the cosmological constant is negative, this novel algebra closes, without having to invoke the equations of motion or introducing auxiliary fields.