The Quantum Theory of Chern-Simons Supergravity
High Energy Physics - Theory
2019-06-26 v3
Abstract
We consider -extended Chern-Simons supergravity (\`a la Achucarro-Tonswend) and we study its gauge symmetries. We promote those gauge symmetries to a BRST symmetry and we perform its quantization by choosing suitable gauge-fixings. The resulting quantum theories have different features which we discuss in the present work. In particular, we show that a special choice of the gauge-fixing correctly reproduces the Ansatz by Alvarez, Valenzuela and Zanelli for the graphene fermion.
Cite
@article{arxiv.1903.04431,
title = {The Quantum Theory of Chern-Simons Supergravity},
author = {L. Andrianopoli and B. L. Cerchiai and P. A. Grassi and M. Trigiante},
journal= {arXiv preprint arXiv:1903.04431},
year = {2019}
}
Comments
25 pages. Some points clarified and conclusion section extended; content of sections 3 and 4 reorganized. Version to be published on JHEP