N=1 supersymmetric Yang-Mills theory in d=4 and its Batalin-Vilkovisky quantization by spinor superfields

TL;DR

This paper reformulates 4D N=1 supersymmetric Yang-Mills theory using spinor superfields in transverse gauge and applies the generalized fields approach to achieve Batalin-Vilkovisky quantization.

Contribution

It introduces a novel spinor superfield formulation and employs generalized fields to obtain the BV master equation solution for the theory.

Findings

Successful formulation of the action in terms of spinor superfields.

Application of generalized fields approach to BV quantization.

Compact minimal solution of the BV master equation.

Abstract

Four dimensional N=1 supersymmetric Yang-Mills theory action is written in terms of the spinor superfields in transverse gauge. This action is seemingly first order in space-time derivatives. Thus, it suggests that the generalized fields approach of obtaining Batalin-Vilkovisky quantization can be applicable. In fact, generalized fields which collect spinor superfields possessing different ghost numbers are introduced to obtain the minimal solution of its Batalin-Vilkovisky master equation in a compact form.