On supersymmetry breaking and the Dijkgraaf-Vafa conjecture

TL;DR

This paper explores how supersymmetry breaking affects the Dijkgraaf-Vafa conjecture by analyzing the low-energy superpotential in a modified supersymmetric gauge theory using geometric and perturbative methods.

Contribution

It extends the Dijkgraaf-Vafa framework to scenarios with broken supersymmetry by incorporating spurions and analyzing the resulting superpotential modifications.

Findings

Holomorphic supersymmetry breaking contributions computed.

Effective glueball superpotential altered by spurion-induced supersymmetry breaking.

Geometric and supergraph techniques used to analyze the effects.

Abstract

We investigate the Dijkgraaf-Vafa proposal when supersymmetry is broken. We consider U(N) SYM with chiral adjoint matter where the coupling constants in the tree-level superpotential are promoted to chiral spurions. The holomorphic part of the low-energy glueball superpotential can still be analyzed. We compute the holomorphic supersymmetry breaking contributions using methods of the geometry underlying the N=1 effective gauge theory viewed as a Whitham system. We also study the change in the effective glueball superpotential using perturbative supergraph techniques in the presence of spurions.