S-confining gauge theories and supersymmetry enhancements

Abstract

Abstract We propose new classes of 4d N $$ \mathcal{N} $$ = 1 S-confining gauge theories, with a simple gauge group, rank-two matter and cubic superpotentials. The gauge group can be symplectic, orthogonal or special unitary. In some cases we derive the dualities via the deconfinement technique that uses iteratively known, more fundamental, dualities. In the symplectic case we discuss the 3d reduction to a confining unitary gauge theory with monopole superpotential. This 3d S-confinement provides an understanding of a recently proposed 4d N $$ \mathcal{N} $$ = 1 theory that flows to the conformal manifold of N $$ \mathcal{N} $$ = 4 SYM with SU(2n + 1) gauge group. The 3d perspective allows us to generalize this construction to another similar flow with supersymmetry enhancement: a 4d N $$ \mathcal{N} $$ = 1 theory that flows to the conformal manifold of a 4d N $$ \mathcal{N} $$ = 2 necklace theory with SU(2n + 1)3 gauge group.

Keywords

• Confinement
• Duality in Gauge Field Theories
• Supersymmetric Gauge Theory
• Supersymmetry and Duality