Gauge Fixing of Chern-Simons N-Extended Supergravity
Wander G. Ney, Olivier Piguet, Wesley Spalenza
TL;DR
This paper applies gauge fixing to N-extended supergravity in 2+1 dimensions modeled as a Chern-Simons gauge theory, using the Batalin-Vilkovisky formalism to systematically handle gauge symmetries.
Contribution
It introduces a systematic gauge fixing procedure for N-extended supergravity in 2+1 dimensions within the Chern-Simons framework using the Batalin-Vilkovisky scheme.
Findings
Successful gauge fixing of the supergravity theory
Clarification of gauge symmetry structure
Foundation for quantization approaches
Abstract
We treat the N-extended supergravity in 2+1 space-time dimensions as a Yang-Mills gauge field with Chern-Simons action associated to the N-extended Poincar\'{e} supergroup. We fix the gauge of this theory within the Batalin-Vilkovisky scheme.
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