S-confining gauge theories and supersymmetry enhancements
Stephane Bajeot, Sergio Benvenuti, Matteo Sacchi
Abstract
A bstract We propose new classes of 4 d $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 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 3 d reduction to a confining unitary gauge theory with monopole superpotential. This 3 d S-confinement provides an understanding of a recently proposed 4 d $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1 theory that flows to the conformal manifold of $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 4 SYM with SU(2 n + 1) gauge group. The 3 d perspective allows us to generalize this construction to another similar flow with supersymmetry enhancement: a 4 d $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 1 theory that flows to the conformal manifold of a 4 d $$ \mathcal{N} $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>N</mml:mi> </mml:math> = 2 necklace theory with SU(2 n + 1) 3 gauge group.