E_8 orbits of IR dualities

Abstract

We discuss USp(2n) supersymmetric models with eight fundamental fields and a field in the antisymmetric representation. Turning on the most generic superpotentials, coupling pairs of fundamental fields to powers of the antisymmetric field while preserving an R symmetry, we give evidence for the statement that the models are connected by a large network of dualities which can be organized into orbits of the Weyl group of E_8. We make also several curious observations about such models. In particular, we argue that a USp(2m) model with the addition of singlet fields and even rank m flows in the IR to a CFT with E_7 U(1) symmetry. We also discuss an infinite number of duals for the USp(2) theory with eight fundamentals and no superpotential.

15 pages, harvmac. v2: added references

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Cited by in corpus (13)

• 4D Gauge Theories with Conformal Matter
• $USp(2N_c)$ SQCD${}_3$ with antisymmetric: dualities and symmetry enhancements
• A tale of exceptional 3d dualities
• Sequences of $6d$ SCFTs on generic Riemann surfaces
• New 2d $\mathcal{N}=(0,2)$ dualities from four dimensions
• Curious patterns of IR symmetry enhancement
• Dualities from dualities: the sequential deconfinement technique
• Between symmetry and duality in supersymmetric QFT
• Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d
• Flips, dualities and symmetry enhancements
• Notes on Integral Identities for 3d Supersymmetric Dualities
• Monopole deformations of 3d Seiberg-like dualities with adjoint matters
• Aspects of 4d supersymmetric dynamics and geometry