Duality in supersymmetric SU(N-c) gauge theory with two adjoint chiral superfields

We discuss SU(N-c) gauge theory coupled to two adjoint chiral superfields X and Y, and a number of fundamental chiral superfields Q(l). We add a superpotential that has the form of Arnold's D series W = TrX(k+1) + TrXY(2). We present a dual description in terms of an SU(3kN(f) - N-c) gauge theory, and we show that the duality passes many tests. At the end of the paper we show how a deformation of this superpotential flows to another duality having a product gauge group SU(N-c) x SU(N-c'), with an adjoint field charged under SU(N-c), an adjoint field charged under SU(N-c'), fields in the (N-c, N-c') and ((N) over bar(c), (N) over bar(c)') representation, and a number of fundamentals. The dual description is an SU(2kNf' + kN(f) - N-c') x SU(2kN(f) + kN(f) - N-c) gauge theory.