On duality in supersymmetric Yang-Mills theory

We discuss non-abelian SU(N_c) 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\sum_{l=1}^k g_l X^{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 g_l