Twisted N=4 Super Yang-Mills Theory in Omega-background

TL;DR

This paper investigates twisted N=4 super Yang-Mills theories in the Omega-background, constructing deformed off-shell supersymmetry and showing the action remains exact with respect to scalar supercharges.

Contribution

It introduces the construction of deformed off-shell supersymmetry for various topological twists of N=4 SYM in the Omega-background, extending previous undeformed formulations.

Findings

Omega-deformed action is exact with respect to scalar supercharges

Deformed off-shell supersymmetry is constructed for multiple twists

The structure parallels the undeformed case

Abstract

We study the twisted N=4 super Yang-Mills theories in the Omega-background with the constant R-symmetry Wilson line gauge field. Based on the classification of topological twists of N=4 supersymmetry (the half, the Vafa-Witten and the Marcus twists), we construct the deformed off-shell supersymmetry associated with the scalar supercharges for these twists. We find that the Omega-deformed action is written in the exact form with respect to the scalar supercharges as in the undeformed case.