Deconfinement at the Argyres-Douglas point in SU(2) gauge theory with broken N=2 supersymmetry

TL;DR

This paper investigates the behavior of condensates in SU(2) gauge theory with broken N=2 supersymmetry, revealing deconfinement phenomena at the Argyres-Douglas point through analytical and Seiberg-Witten methods.

Contribution

It provides a detailed analysis of condensates and deconfinement at the Argyres-Douglas point, connecting nonperturbative superpotentials with Seiberg-Witten theory.

Findings

Monopole and charge condensates vanish at the Argyres-Douglas point.

Deconfinement of electric and magnetic charges occurs at this critical point.

Results align with the Seiberg-Witten curve and ADS superpotential calculations.

Abstract

We consider chiral condensates in SU(2) gauge theory with broken N=2 supersymmetry. The matter sector contains an adjoint multiplet and one fundamental flavor. Matter and gaugino condensates are determined by integrating out the adjoint field. The only nonperturbative input is the Affleck-Dine-Seiberg (ADS) superpotential generated by one instanton plus the Konishi anomaly. These results are consistent with those obtained by the `integrating in' procedure, including a reproduction of the Seiberg-Witten curve from the ADS superpotential. We then calculate monopole, dyon, and charge condensates using the Seiberg-Witten approach. We show that the monopole and charge condensates vanish at the Argyres-Douglas point where the monopole and charge vacua collide. We interpret this phenomenon as a deconfinement of electric and magnetic charges at the Argyres-Douglas point.