SUSY/Non-SUSY Duality in U(N) Gauge Model with Partially Broken N=2 Supersymmetry

TL;DR

This paper investigates the vacuum structure of a U(N) gauge model with partially broken N=2 supersymmetry, revealing vacua with negative gauge coupling constants and analyzing their dual descriptions involving supersymmetry breaking.

Contribution

It introduces a duality framework for analyzing vacua with negative gauge couplings in partially broken N=2 supersymmetric U(N) gauge models.

Findings

Existence of vacua with negative gauge coupling constants.

Dual description involving spurion superfields breaking supersymmetry.

Presence of both supersymmetry preserving and breaking vacua.

Abstract

We study the vacuum structure of the U(N) gauge model with partially broken N=2 supersymmetry. From the analysis of the classical vacua of this model, we point out that in addition to the ordinary N=1 supersymmetric vacua, there are vacua with negative gauge coupling constants, which preserve another N=1 supersymmetry. These latter vacua can be analyzed by using SUSY/non-SUSY duality which is recently proposed by Aganagic, Beem, Seo and Vafa. A dual description of these in UV is U(N) gauge theory where the supersymmetry is broken by spurion superfields. Following them, we see that there are supersymmetry preserving vacua as well as supersymmetry breaking vacua of low energy effective theory.