The Coulomb Branch of N=2 Supersymmetric Product Group Theories from Branes

TL;DR

This paper derives the low-energy effective theories of N=2 supersymmetric product group gauge theories using M-theory fivebrane configurations, revealing detailed moduli and scale dependencies of their Seiberg-Witten curves.

Contribution

It provides a novel M-theory brane construction approach to analyze the Coulomb branch of N=2 supersymmetric product group theories, including non-hyperelliptic Seiberg-Witten curves.

Findings

Determined moduli and scale dependence of Seiberg-Witten curves.

Identified peculiarities in the vanishing beta-function case.

Connected brane configurations with field theory limits.

Abstract

We determine the low energy description of N=2 supersymmetric SU(k) product group theories with bifundamental and fundamental matter based on M-theory fivebrane configurations. The dependence on moduli and scales of the coefficients in the non-hyperelliptic Seiberg-Witten curves for these theories is determined by considering various field theory and brane limits. A peculiarity in the interpretation of these curves for the vanishing beta-function case is noted.