New dynamics and dualities in supersymmetric chiral gauge theories

Abstract

We analyze the phase structure of supersymmetric chiral gauge theories with gauge group SU(N), an antisymmetric, and F<N+4 flavors, in the presence of a cubic superpotential. When F=N+3 the theory flows to a superconformal fixed point in the infrared, and new dual descriptions of this theory are uncovered. The theory with odd N admits a self-dual magnetic description. For general N, we find an infinite family of magnetic dual descriptions, characterized by arbitrarily large gauge groups and additional classical global symmetries that are truncated by nonperturbative effects. The infrared dynamics of these theories are analyzed using a-maximization, which supports the claim that all these theories flow to the same superconformal fixed point. A very rich phase structure is found when the number of flavors is reduced below N+3, including a new self-dual point, transitions from conformal to confining, and a nonperturbative instability for F<N+1. We also give examples of chiral theories with antisymmetrics that have nonchiral duals.

arXiv comment37 pages

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Cited by in corpus (7)

• Elliptic hypergeometry of supersymmetric dualities II. Orthogonal groups, knots, and vortices
• Seiberg duality versus hidden local symmetry
• Phases of N=1 supersymmetric chiral gauge theories
• Chiral Gauge Dynamics: Candidates for Non-Supersymmetric Dualities
• The Romelsberger Index, Berkooz Deconfinement, and Infinite Families of Seiberg Duals
• S-duality of nonsupersymmetric gauge theories
• A test for emergent dynamics