From exact results to gauge dynamics on ℝ3 × S 1

Abstract

Abstract We revisit the vacuum structure of the N $$ \mathcal{N} $$ = 1 Intriligator-Seiberg-Shenker model on ℝ3 × S 1. Guided by the Cardy-like asymptotics of its Romelsberger index, and building on earlier semi-classical results by Poppitz and Ünsal, we argue that previously overlooked non-perturbative effects generate a Higgs-type potential on the classical Coulomb branch of the low-energy effective 3d N $$ \mathcal{N} $$ = 2 theory. In particular, on part of the Coulomb branch we encounter the first instance of a dynamically-generated quintic monopole superpotential.

Keywords

• Nonperturbative Effects
• Supersymmetric Gauge Theory
• Supersymmetric Effective Theories
• Wilson
• ’t Hooft and Polyakov loops