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

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arxiv hep-th/9510228 v1 pith:KSBYPJOZ submitted 1995-10-31 hep-th

classification hep-th
keywords dualityseibergspintheoriestheorydualflowsgauge
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

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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  1. Phase Transitions at Unusual Values of $\theta$

    hep-th 2025-06 conditional novelty 6.0 of 10

    Using Seiberg-Witten theory plus anomaly mediation, the authors find first-order phase transitions in the theta-dependent vacuum energy at theta = pi (N_F=0), 0 and pi (N_F=1), pi/2 and 3pi/2 (N_F=2), and pi/4, 3pi/4,...

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