New RG Fixed Points and Duality in Supersymmetric SP(N_c) and SO(N_c) Gauge Theories

TL;DR

This paper provides evidence for new non-trivial RG fixed points with dual descriptions in supersymmetric SP(Nc) and SO(Nc) gauge theories, expanding the understanding of dualities in these models.

Contribution

It introduces novel RG fixed points with dual magnetic descriptions in supersymmetric SP(Nc) and SO(Nc) gauge theories involving specific matter representations.

Findings

Discovery of new RG fixed points with dual descriptions.

Identification of superpotential perturbations leading to fixed points.

Extension of known dualities to SP(Nc) and SO(Nc) gauge groups.

Abstract

We present evidence for new, non-trivial RG fixed points with dual magnetic descriptions in $N=1$ supersymmetric $SP(N_c)$ and $SO(N_c)$ gauge theories. The $SP(N_c)$ case involves matter $X$ in the antisymmetric tensor representation and $N_f$ flavors of quarks $Q$ in the fundamental representation. The $SO(N_c)$ case involves matter $X$ in the symmetric tensor representation and $N_f$ flavors of quarks $Q$ in the vector representation of $SO(N_c)$. Perturbing these theories by superpotentials $W(X)$, we find a variety of interesting RG fixed points with dual descriptions. The duality in these theories is similar to that found by Kutasov and by Kutasov and Schwimmer in $SU(N_c)$ with adjoint $X$ and $N_f$ quarks in the fundamental.