A Sequence of Duals for Sp(2N) Supersymmetric Gauge Theories with Adjoint Matter

TL;DR

This paper constructs a sequence of dual descriptions for Sp(2N) supersymmetric gauge theories with adjoint matter, revealing a novel low-energy phenomenon where some degrees of freedom form massless bound states while the theory remains interacting.

Contribution

It introduces a new sequence of duals for Sp(2N) theories with adjoint matter using Seiberg duality and deconfinement, uncovering a novel non-perturbative phenomenon.

Findings

Massless, non-interacting bound states form at low energies for small F.

The dual descriptions are constructed using Seiberg duality and deconfinement methods.

The approach can be generalized to other gauge groups and tensor representations.

Abstract

We consider supersymmetric Sp(2N) gauge theories with F matter fields in the defining representation, one matter field in the adjoint representation, and no superpotential. We construct a sequence of dual descriptions of this theory using the dualities of Seiberg combined with the ``deconfinement'' method introduced by Berkooz. Our duals hint at a new non-perturbative phenomenon that seems to be taking place at asymptotically low energies in these theories: for small F some of the degrees of freedom form massless, non-interacting bound states while the theory remains in an interacting non-Abelian Coulomb phase. This phenomenon is the result of strong coupling gauge dynamics in the original description, but has a simple classical origin in the dual descriptions. The methods used for constructing these duals can be generalized to any model involving arbitrary 2-index tensor representations of Sp(2N), SO(N), or SU(N) groups.