New “electric” description of supersymmetric quantum chromodynamics

Abstract

Responding to the recent claim that the origin of moduli space may be unstable in “magnetic” supersymmetric quantum chromodynamics (SQCD) with N f ≤3 N c /2 ( N c >2) for N f flavors and N c colors of quarks, we explore the possibility of finding nonperturbative physics for “electric” SQCD. We present a recently discussed effective superpotential for “electric” SQCD with N c +2≤ N f ≤3 N c /2 ( N c >2) that generates chiral symmetry breaking with a residual nonabelian symmetry of SU( N c ) L+ R × SU( N f − N c ) L × SU( N f − N c ) R . Holomorphic decoupling property is shown to be respected. For massive N f − N c quarks, our superpotential with instanton effect taken into account produces a consistent vacuum structure for SQCD with N f = N c compatible with the holomorphic decoupling.