Constraint and Super Yang-Mills Equations on the Deformed Superspace R^(4|16)_\hbar

TL;DR

This paper derives deformed super Yang-Mills equations on a noncommutative superspace by extending known constraints, and introduces a super Seiberg-Witten map to relate undeformed and deformed theories.

Contribution

It presents a novel formulation of super Yang-Mills equations on a deformed superspace and proposes a super Seiberg-Witten map connecting the deformed and undeformed theories.

Findings

Derived deformed super Yang-Mills equations on R^(4|16)__ar

Proposed a super Seiberg-Witten map for the deformed superspace

Extended the constraint equations to a noncommutative superspace

Abstract

It has been known for quite some time that the N=4 super Yang-Mills equations defined on four-dimensional Euclidean space are equivalent to certain constraint equations on the Euclidean superspace R^(4|16). In this paper we consider the constraint equations on a deformed superspace R^(4|16)_\hbar a la Seiberg and derive the deformed super Yang-Mills equations. In showing this, we propose a super Seiberg-Witten map.