The Nonperturbative Gauge Coupling of N=2 Supersymmetric Theories

TL;DR

This paper explores the topology of the quantum coupling space and the effective action in N=2 supersymmetric SU(n) gauge theories, proposing a preferred nonperturbative gauge coupling definition.

Contribution

It introduces a nonperturbative definition of the gauge coupling based on the topology of the coupling space and effective action in scale invariant N=2 theories.

Findings

Identifies a preferred nonperturbative gauge coupling

Highlights the role of topology in coupling space

Provides insights into the effective action structure

Abstract

We argue that the topology of the quantum coupling space and the low energy effective action on the Coulomb branch of scale invariant N=2 SU(n) gauge theories pick out a preferred nonperturbative definition of the gauge coupling up to non-singular holomorphic reparametrizations.