Phases of N=1 USp(2N_c) Gauge Theories with Flavors

TL;DR

This paper explores the phase structures of N=1 supersymmetric USp(2N_c) gauge theories with flavors, analyzing how deformations from N=2 affect factorization and phase transitions, including the role of USp(0).

Contribution

It provides the most general factorization curves for various symmetry breaking patterns in USp(2N_c) gauge theories with flavors, including the role of USp(0).

Findings

Identified all possible phase transitions under quartic superpotential deformations.

Determined the general factorization curves for different breaking patterns.

Discussed the significance of USp(0) in the phase structure.

Abstract

We studied the phase structures of N=1 supersymmetric USp(2N_c) gauge theory with N_f flavors in the fundamental representation as we deformed the N=2 supersymmetric QCD by adding the superpotential for adjoint chiral scalar field. We determined the most general factorization curves for various breaking patterns, for example, the two different breaking patterns of quartic superpotential. We observed all kinds of smooth transitions for quartic superpotential. Finally we discuss the intriguing role of USp(0) in the phase structure and the possible connection with observations made recently in hep-th/0304271 (Aganagic, Intriligator, Vafa and Warner) and in hep-th/0307063 (Cachazo).