Auxiliary fields in open gauge theories
N. Djeghloul, A. Meziane, and M. Tahiri
TL;DR
This paper demonstrates how auxiliary fields can be used to construct an off-shell BRST algebra and invariant action in open gauge theories, with an application to simple supergravity.
Contribution
It introduces a method to build off-shell BRST algebra using auxiliary fields in open gauge theories, extending the classical action invariance.
Findings
Successful construction of off-shell BRST algebra for open gauge theories
Extension of classical action with auxiliary fields maintaining invariance
Application demonstrated in simple supergravity context
Abstract
We show that for open gauge theories, it is possible to build an off-shell Becchi-Rouet-Stora-Tyutin (BRST) algebra together with an invariant extension of the classical action. This is based on the introduction of auxiliary fields, after having defined an on-shell invariant quantum action, where the gauge-fixing action is written as in Yang-Mills type theories up to a modified BRST operator. An application to simple supergravity is performed.
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