Duality in supersymmetric SU(Nc) gauge theory with two adjoint chiral superfields Original Research Article

We discuss SU(Nc) gauge theory coupled to two adjoint chiral superfields X and Y, and a number of fundamental chiral superfields Qi. We add a superpotential that has the form of Arnoldʹs D series W = TrXk+1 + TrXY2. We present a dual description in terms of an SU(3kNf − Nc) 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(Nc) × SU(N′c), with an adjoint field charged under SU(Nc), an adjoint field charged under SU(N′c), fields in the (Nc, N′c) and (Nc, Nc) representation, and a number of fundamentals. The dual description is an SU(2kN′f + kNf − N′c) × SU(2kNf + kN′f − Nc) gauge theory.