Duality in SUSY SU(N) with an Antisymmetric Tensor

We present a dual description for SU (N) supersymmetric gauge theory with an anti-symmetric tensor and fundamentals, and no superpotential. This duality is derived from the dualities of Seiberg. Under a perturbation of the superpotential, the dual theory breaks supersymmetry at tree level. 10/95 One year ago, a remarkable feature of gauge field theories was discovered [1]. Certain N =1 supersymmetric field theories were shown by Seiberg to have a completely equivalent description at large distances in terms of a different SUSY gauge theory, with a different gauge group and matter content. For reviews and lists of references, see [2]. For earlier work on these SUSY theories see [3-5]. This duality is a generalization of the one of Montonen and Olive of N =4 [6] and some N =2 SUSY gauge theories [7]. The original examples in [1] included SU (N), SO(N) and Sp(N) gauge theories with fundamentals. They were further studied in [8,9]. It is not straightforward to find dual descriptions for other gauge groups and matter content. A dual description for SUSY G 2 gauge theory with fundamentals was found in [10]. It was extended to other theories in [11]. A wealth of partial results on dualizing many other theories were found in [12-18], in an approach which requires to perturb the theory by a superpotential in order to perform the duality. In this letter, the theory that we consider is an SU (N) supersymmetric gauge theory without a superpotential. The matter fields are chiral superfields transforming in one antisymmetric tensor representation A, F fundamentals Q and N +F −4 antifundamentals Q. That is, there is F extra flavors of Q and Q beyond the necessary antifundamentals to cancel the SU (N) 3 anomaly. We present a dual description for this model for N odd, which we refer to as the electric theory. A dual for this model with a superpotential was obtained in [15] for N even. We derive this duality from the elementary dualities of Seiberg following the idea of [15] of deconfining the antisymmetric tensor, by introducing an auxiliary gauge group. We also propose a dual description for SU (N) with an antisymmetric tensor and a conjugate antisymmetric tensor, fundamentals and antifundamentals, which we do not analyze in detail. We then study some of the features of the model with one antisymmetric tensor in detail. One feature is that a baryon operator is an elementary …