On a Boundary CFT Description of Nonperturbative N=2 Yang-Mills Theory

TL;DR

This paper introduces a boundary conformal field theory approach to analyze the nonperturbative BPS spectrum of four-dimensional N=2 supersymmetric Yang-Mills theory, linking it to Landau-Ginzburg models and superconformal minimal models.

Contribution

It presents a novel method to determine the strong-coupling BPS spectrum using D-brane boundary states and conformal field theory techniques.

Findings

Mapped BPS spectrum to superconformal minimal models

Provided a direct method for analyzing nonperturbative spectra

Linked gauge theory states to boundary states in CFT

Abstract

We describe a simple method for determining the strong-coupling BPS spectrum of four dimensional N=2 supersymmetric Yang-Mills theory. The idea is to represent the magnetic monopoles and dyons in terms of D-brane boundary states of a non-compact d=2 N=2 Landau-Ginzburg model. In this way the quantum truncated BPS spectrum at the origin of the moduli space can be directly mapped to the finite number of primary fields of the superconformal minimal models.