Exact Superpotentials, Quantum Vacua and Duality in Supersymmetric SP(N_c) Gauge Theories

TL;DR

This paper investigates $SP(N_c)$ supersymmetric gauge theories, deriving exact superpotentials and analyzing quantum vacua, revealing phenomena like confinement, duality, and fixed points across different flavor and color configurations.

Contribution

It provides explicit exact superpotentials and detailed analysis of quantum vacua, including dualities and conformal fixed points, in $SP(N_c)$ supersymmetric gauge theories.

Findings

Exact superpotentials derived for various $N_f$, $N_c$ cases.

Identification of smooth and singular quantum moduli spaces.

Discovery of confinement without chiral symmetry breaking.

Abstract

We study $N=1$ supersymmetric $SP(N_c)$ gauge theories with $N_f$ flavors of quarks in the fundamental representation. Depending on $N_f$ and $N_c$, we find exact, dynamically generated superpotentials, smooth quantum moduli spaces of vacua, quantum moduli spaces of vacua with additional massless composites at strong coupling, confinement without chiral symmetry breaking, non-trivial fixed points of the renormalization group, and massless magnetic quarks and gluons.