Antisymplectic Gauge Theories

TL;DR

This paper introduces a comprehensive BV formalism for antisymplectic gauge theories, extending gauge symmetry concepts to a new class of theories and demonstrating consistency with existing formalisms.

Contribution

It develops a general antisymplectic BV formalism for first class constraints, expanding the scope of gauge theories beyond traditional symplectic frameworks.

Findings

Formalism is as general as symplectic BFV-BRST

Consistency with previous antisymplectic second class constraints formalism

Extension of gauge symmetry to new classes of theories

Abstract

A general field-antifield BV formalism for antisymplectic first class constraints is proposed. It is as general as the corresponding symplectic BFV-BRST formulation and it is demonstrated to be consistent with a previously proposed formalism for antisymplectic second class constraints through a generalized conversion to corresponding first class constraints. Thereby the basic concept of gauge symmetry is extended to apply to quite a new class of gauge theories potentially possible to exist.