Radiative Corrections in 2+1 Dimensional Supergravity
Abstract
Supergravity in 2+1 dimensions has a set of first class constraints that result in two Bosonic and one Fermionic gauge invariances. When one uses Faddeev-Popov quantization, these gauge invariances result in four Fermionic scalar ghosts and two Bosonic Majorana spinor ghosts. The BRST invariance of the effective Lagrangian is found. As an example of a radiative correction, we compute the phase of the one-loop effective action in the presence of a background spin connection, and show that it vanishes. This indicates that unlike a spinor coupled to a gauge field in 2 + 1 dimensions, there is no dynamical generation of a topological mass in this model. An additional example of how a BRST invariant invariant effective action can arise in a gauge theory is provided in an appendix where the BRST invariant effective action for the classical Palatini action in 1+1 dimensions is examined.
Cite
@article{arxiv.1711.04744,
title = {Radiative Corrections in 2+1 Dimensional Supergravity},
author = {D. G. C. McKeon},
journal= {arXiv preprint arXiv:1711.04744},
year = {2018}
}