Omega-Deformed Seiberg-Witten Effective Action from the M5-brane

TL;DR

This paper derives the first-order epsilon-deformation corrections to the Seiberg-Witten effective action for pure SU(2) gauge theory from M5-brane dynamics in an Omega-background.

Contribution

It provides the first explicit derivation of the Omega-deformed Seiberg-Witten effective action from M-theory, extending to arbitrary gauge groups and matter content.

Findings

First-order epsilon-deformation of Seiberg-Witten action obtained.

Connection established between M5-brane physics and gauge theory deformations.

Comments on second-order corrections and generalizations included.

Abstract

We obtain the leading order corrections to the effective action of an M5-brane wrapping a Riemann surface in the eleven-dimensional supergravity Omega-background. The result can be identified with the first order epsilon-deformation of the Seiberg-Witten effective action of pure SU(2) gauge theory. We also comment on the second order corrections and the generalization to arbitrary gauge group and matter content.