On duality in supersymmetric Yang-Mills theory

Abstract

We discuss non-abelian SU(Nc) gauge theory coupled to an adjoint chiral superfield X, and a number of fundamental chiral superfields Q i. Using duality, we show that turning on a superpotential W(X) = Tr ∑ k l=1 glX l+1 leads to non-trivial long distance dynamics, a large number of multicritical IR fixed points and vacua, connected to each other by varying the coefficients gl. 4/95 1. Introduction. The recent progress in understanding the role of holomorphicity [1-10] and duality [11-13] in four dimensional supersymmetric field theories can be used in many cases to study strongly coupled theories. In this note we discuss a class of theories where strong coupling effects lead to a rich pattern of fixed points exhibiting new duality symmetries.