S-confinements from deconfinements

Abstract

We consider four dimensional $\mathcal{N}=1$ gauge theories that are S-confining, that is they are dual to a Wess-Zumino model. S-confining theories with a simple gauge group have been classified. We prove all the S-confining dualities in the list, when the matter fields transform in rank-$1$ and/or rank-$2$ representations. Our only assumptions are the S-confining dualities for $SU(N)$ with $N+1$ flavors and for $Usp(2N)$ with $2N+4$ fundamentals. The strategy consists in a sequence of deconfinements and re-confinements. We pay special attention to the explicit superpotential at each step.

60 pages, many figures

References in corpus (3)

• Supersymmetric gauge theories with decoupled operators and chiral ring stability
• 4d $S$-duality wall and $SL(2,\mathbb{Z})$ relations
• Dualities from dualities: the sequential deconfinement technique

Cited by in corpus (4)

• The $SL(2,\mathbb{Z})$ dualization algorithm at work
• A toolkit for ortho-symplectic dualities
• Boundary confining dualities and Askey-Wilson type $q$-beta integrals
• 3d exceptional gauge theories and boundary confinement