Instantons and Non-Perturbative Dynamics of N=2 Supersymmetric Abelian Gauge Theories in Two Dimensions

TL;DR

This paper investigates non-perturbative effects in two-dimensional N=2 supersymmetric Abelian gauge theories, focusing on instanton contributions to the mass spectrum and vacuum structure, revealing that the bosonic potential is dominated by single-instanton effects.

Contribution

It provides a detailed calculation of instanton effects on the non-perturbative dynamics and vacuum deformation in N=2 supersymmetric Abelian gauge theories in two dimensions.

Findings

Non-perturbative corrections to the mass spectrum are computed.

The quantum deformation of the classical vacua space is characterized.

The bosonic potential is saturated by one-instanton contributions.

Abstract

We study N=2 supersymmetric Abelian gauge model with the Fayet-Iliopoulos term and an arbitrary number of chiral matter multiplets in two dimensions. By analyzing the instanton contribution we compute the non-perturbative corrections to the mass spectrum of the theory and the quantum deformation of the classical vacua space. In contrast to known examples the non-perturbative bosonic potential is saturated by the one-instanton contribution and can be directly found within the semiclassical expansion around the one-instanton saddle point.