Deformations of N=2 Dualities to N=1 Dualities in SU, SO and USp Gauge Theories

TL;DR

This paper explores how deformations of N=2 supersymmetric QCD lead to N=1 dualities across SU, SO, and USp gauge theories, clarifying the origin of mesons and superpotentials in dual descriptions.

Contribution

It demonstrates a unified approach to deriving N=1 dualities from N=2 theories in various gauge groups, elucidating the operator correspondence and superpotential origins.

Findings

Derivation of N=1 dualities from N=2 theories for SU, SO, USp groups

Identification of the origin of mesons and superpotentials in dual theories

Application of the deformation method across multiple gauge groups

Abstract

We study deformations of dualities in finite N=2 supersymmetric QCD. Adding mass terms for some quarks and the adjoint matter to the finite N=2 theory, which is known to have dual descriptions, the correspondence of gauge invariant operators between the original and dual theory is deformed. As a result, we naturally obtain N.Seiberg's N=1 duality. Furthermore, we discuss the origin of the meson and superpotential in the dual theory. This approach can be applied to SU(N), SO(N), and USp(2N) gauge theories, and we analyze all these cases.