A Chiral $SU(N)$ Gauge Theory and its Non-Chiral $Spin(8)$ Dual

Details A Chiral $SU(N)$ Gauge Theory and its Non-Chiral $Spin(8)$ Dual A Chiral $SU(N)$ Gauge Theory and its Non-Chiral $Spin(8)$ Dual

1995-10-31

arxiv.org/abs/hep-th/9510228v1

Phys.Lett. B370 (1996) 76-82

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, uses harvmac

Scientific paper

10.1016/0370-2693(95)01554-X

We study supersymmetric $SU(N-4)$ gauge theories with a symmetric tensor and $N$ antifundamental representations. The theory with $W=0$ has a dual description in terms of a non-chiral $Spin(8)$ theory with one spinor and $N$ vectors. This duality flows to the $SO(N)$ duality of Seiberg and to a duality proposed by one of us. It also flows to dualities for a number of $Spin(m)$ theories, $m\le 8$. For $N=6$, when an ${\cal N}=2$ SUSY superpotential is added, the singularities of Seiberg and Witten are recovered. For $N\le 6$, a mass for the spinor generates the branches of $SO(8)$ theories found by Intriligator and Seiberg. Other phenomena include a classical constraint mapped to an anomaly equation under duality and an intricate consistency check on the renormalization group flow.

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