Modified triplectic quantization in general coordinates

TL;DR

This paper extends the triplectic quantization method to general coordinates, allowing for the quantization of gauge theories on supermanifolds with both bosonic and fermionic variables.

Contribution

It introduces a generalized framework for triplectic quantization applicable to supermanifolds with mixed variable types, broadening the scope of gauge theory quantization.

Findings

Extended triplectic quantization to supermanifolds with bosonic and fermionic variables

Provided a consistent quantization scheme in general coordinate systems

Enhanced the applicability of gauge theory quantization methods

Abstract

We present an extension of previous results (hep-th/0105215)on the quantization of general gauge theories within the BRST-antBRST invatiant Lagrangian scheme in general coordinates, namely, we consider the case when the base manifold of fields and antifields is a supermanifold desribed in terms of both bosonic and fermionic variables.