Duality in N=1 Supersymmetric gauge theories and recent developments

TL;DR

This paper reviews exact results and dualities in N=1 supersymmetric gauge theories, including Seiberg's work, Kutasov theories, and superconformal points, highlighting the importance of duality in understanding these models.

Contribution

It synthesizes recent developments in dualities and exact results in N=1 supersymmetric theories, extending Seiberg's work to Kutasov-type models and superconformal theories.

Findings

Seiberg's results in Super-Yang-Mills theories with matter

Extension to Kutasov-type theories with adjoint matter

Identification of superconformal theories at specific moduli space points

Abstract

We discuss a number of exact results in N=1 supersymmetric field theories. We review the results obtained by Seiberg in Super-Yang-Mills (SYM) theories with matter in fundamental representation. We then consider Kutasov-type SYM theories, which also contain matter in the adjoint representation and an appropriate tree--level superpotential. We finally focus on one particular case in the latter theories, a generalization of the theories with equal number of flavors and colors studied by Seiberg, in which non--trivial superconformal theories appear at certain sections of the quantum--modified moduli space. Throughout the paper we stress the role played by duality in the search for exact results.