The solution to Slavnov-Taylor identities in D4 N=1 SYM

TL;DR

This paper presents a unique solution to Slavnov-Taylor identities in D4 N=1 SYM with a chiral background superfield, enabling restriction of the gauge part of the effective action, which is crucial for understanding gauge invariance.

Contribution

It provides the first explicit solution to Slavnov-Taylor identities in this specific supersymmetric gauge theory with an arbitrary chiral background superfield.

Findings

Solution to Slavnov-Taylor identities is unique

The gauge part of the effective action can be restricted

Clarifies gauge invariance constraints in D4 N=1 SYM

Abstract

D4 N=1 SYM with an arbitrary chiral background superfield as the gauge coupling is considered. The solution to Slavnov-Taylor identities has been given. It has been shown that the solution is unique and allows us to restrict the gauge part of the effective action. Under the effective action in this paper we mean the 1PI diagram generator.