Phases of N=1 SO(N_c) Gauge Theories with Flavors

TL;DR

This paper investigates the phase structures of N=1 supersymmetric SO(N_c) gauge theories with flavors, analyzing how deformations from N=2 supersymmetry affect the theory's phases and transitions.

Contribution

It provides a comprehensive analysis of phase structures and factorization forms in SO(N_c) gauge theories with flavors under superpotential deformations from N=2 supersymmetry.

Findings

Identified all possible phase transition patterns.

Determined factorization forms for various symmetry breaking patterns.

Observed smooth transitions induced by quartic superpotentials.

Abstract

We studied the phase structures of ${\cal N}=1$ supersymmetric $SO(N_c)$ gauge theory with $N_f$ flavors in the vector representation as we deformed the ${\cal N}=2$ supersymmetric QCD by adding the superpotential of arbitrary polynomial for the adjoint chiral scalar field. Using weak and strong coupling analyses, we determined the most general factorization forms for various breaking patterns. We observed all kinds of smooth transitions for quartic superpotential.