The noncovariant gauges in 3-form theories
Sudhaker Upadhyay, Manoj Kumar Dwivedi, Bhabani Prasad Mandal (BHU,, Varanasi)

TL;DR
This paper explores the application of generalized BRST and Batalin-Vilkovisky formalisms to 3-form gauge theories, focusing on noncovariant gauges and the construction of finite field-dependent BRST symmetry.
Contribution
It introduces the finite field-dependent BRST symmetry for 3-form gauge theories and extends the analysis to the BV formalism, connecting covariant and noncovariant gauges.
Findings
Constructed FFBRST symmetry for 3-form theories
Derived generating functionals in different gauges
Extended analysis within BV formalism
Abstract
We study the 3-form gauge theory in the context of generalized BRST formulation. We construct the finite field-dependent BRST (FFBRST) symmetry for such a theory. The generating functional for 3-form gauge theory in noncovariant gauge is obtained from that of in covariant gauge. We further extend the results by considering 3-form gauge theory in the context of Batalin-Vilkovisky (BV) formulation.
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