Confining phase in SUSY SO(12) gauge theory with one spinor and several vectors

TL;DR

This paper analyzes the confining phase structure of N=1 supersymmetric SO(12) gauge theory with specific matter content, deriving superpotentials and comparing to known SUSY QCD phases, and discusses potential dual theories for higher flavor numbers.

Contribution

It explicitly derives low energy superpotentials for SO(12) with up to 7 vectors, revealing confining phases similar to SUSY QCD and explores duality prospects for more flavors.

Findings

Derived superpotentials for N_f ≤ 7 vectors.

Identified confining phase structure analogous to SUSY QCD.

Commented on dual theories for N_f ≥ 8.

Abstract

We study the confining phase structure on {\cal N}=1 supersymmetric SO(12) gauge theory with N_f \le 7 vectors and one spinor. The explicit form of low energy superpotentials for N_f \le 7 are derived after gauge invariant operators relevant in the effective theory are identified via gauge symmetry breaking pattern. The resulting confining phase structure is analogous to N_f \le N_c+1 SUSY QCD. Finally, we conclude with some comments on the search for duals to N_f \ge 8 SO(12) theory.