Konishi Anomalies and Curves without Adjoints

TL;DR

This paper derives generalized Konishi anomaly relations for N=1 supersymmetric gauge theories with unitary groups and two-index tensor matter, revealing hyperelliptic curves and equivalences to orthogonal or symplectic models.

Contribution

It introduces new Konishi anomaly relations for theories without adjoint matter and identifies hyperelliptic curves and gauge group equivalences.

Findings

Curves are hyperelliptic in these models.

Established equivalences to orthogonal and symplectic gauge theories.

Extended understanding of chiral rings in non-adjoint matter theories.

Abstract

Generalized Konishi anomaly relations in the chiral ring of N=1 supersymmetric gauge theories with unitary gauge group and chiral matter field in two-index tensor representations are derived. Contrary to previous investigations of related models we do not include matter multiplets in the adjoint representation. The corresponding curves turn out to be hyperelliptic. We also point out equivalences to models with orthogonal or symplectic gauge groups.