Exact Results and Duality for SP(2N) SUSY Gauge Theories with an Antisymmetric Tensor

TL;DR

This paper provides exact solutions and explores dualities in supersymmetric Sp(2N) gauge theories with antisymmetric tensors, revealing complex non-perturbative phenomena and potential for supersymmetry breaking.

Contribution

It offers the first exact solution for F=6 and describes dualities and non-perturbative effects in Sp(2N) theories with various flavors, including supersymmetry breaking mechanisms.

Findings

Exact solution for F=6 case with confined degrees of freedom

Identification of quantum deformed moduli spaces and instanton effects

Potential for spontaneous supersymmetry breaking in certain models

Abstract

We study supersymmetric Sp(2N) gauge theories with matter in the antisymmetric tensor representation and F fundamentals. For F=6 we solve the theory exactly in terms of confined degrees of freedom and a superpotential. By adding mass terms we obtain the theories with F<6 which we find to exhibit a host of interesting non-perturbative phenomena: quantum deformed moduli spaces with N constraints, instanton-induced superpotentials and non-equivalent disjoint branches of moduli spaces. We find a simple dual for F=8 and no superpotential. We show how the F=4 and F=2 theories can be modified to break supersymmetry spontaneously and point out that the Sp(6) theory with F=6 may be very interesting for model builders.