Patterns of Duality in N=1 SUSY Gauge Theories

Abstract

We study the patterns in the duality of a wide class of N=1 supersymmetric gauge theories in four dimensions. We present many new generalizations of the classic duality models of Kutasov and Schwimmer, which have themselves been generalized numerous times in works of Intriligator, Leigh and the present authors. All of these models contain one or two fields in a two-index tensor representation, along with fields in the defining representation. The superpotential for the two-index tensor(s) resembles A_k or D_k singularity forms, generalized from numbers to matrices. Looking at the ensemble of these models, classifying them by superpotential, gauge group, and ``level'' -- for terminology we appeal to the architecture of a typical European-style theatre -- we identify emerging patterns and note numerous interesting puzzles.

34 pages, 4 figures, uses harvmac and tables

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• More on Meta-Stable Brane Configuration
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• Dual unified SU(5)
• S-confinements from deconfinements
• Seiberg duality versus hidden local symmetry
• Direct Mediation and Metastable Supersymmetry Breaking for SO(10)
• Phases of N=1 supersymmetric chiral gauge theories
• 3d "chiral" Kutasov-Schwimmer duality
• D-brane Instantons as Gauge Instantons in Orientifolds of Chiral Quiver Theories
• More Confining N=1 SUSY Gauge Theories From Non-Abelian Duality
• Deformations of $W_{A,D,E}$ SCFTs
• Electric/Magnetic Duality with Gauge Singlets
• New dynamics and dualities in supersymmetric chiral gauge theories
• Spectroscopy of Gauge Theories Based on Exceptional Lie Groups
• Mapping Dirac gaugino masses
• Anomaly Matching and Syzygies in N=1 Gauge Theories
• Webs of 3d $\mathcal{N}=2$ dualities with D-type superpotentials
• Chiral dualities for SQCD${}_3$ with D-type superpotential
• Kutasov-Seiberg dualities and cyclotomic polynomials
• Meta-Stable Brane Configurations, Multiple NS5-Branes, and Rotated D6-Branes
• More on Meta-Stable Brane Configurations by Dualizing the Multiple Gauge Groups
• Sequential deconfinement and self-dualities in $4d$ $\mathcal{N}=1$ gauge theories