Product group confinement in SUSY gauge theories

Abstract

Abstract We propose a new set of s-confining theories with product gauge groups and no tree-level superpotential, based on a model with one antisymmetric matter field and four flavors of quarks. For each product group we find a set of gauge-invariant operators which satisfy the ’t Hooft anomaly matching conditions, and we identify the dynamically generated superpotential which reproduces the classical constraints between operators. Several of these product gauge theories confine without breaking chiral symmetry, even in cases where the classical moduli space is quantum-modified. These results may be useful for composite model building, particularly in cases where small operators of the form Q Q ¯ $$ \left(Q\overline{Q}\right) $$ are absent, or for theories with multiple natural energy scales, and may provide new ways to break supersymmetry dynamically.

Keywords

• Confinement
• Supersymmetric Gauge Theory
• Supersymmetry and Duality