Flips, dualities and symmetry enhancements

Abstract

We present various 4d $\mathcal{N}=1$ theories enjoying IR global symmetry enhancement. The models we consider have the $USp(2n)$ gauge group, 8 fundamental, one antisymmetric chirals and various numbers of gauge singlets. By suitably turning on superpotential deformations involving the singlets which break part of the UV symmetry we flow to SCFTs with $E_6$, $SO(10)$, $SO(9)$, $SO(8)$ and $F_4$ IR global symmetry. We explain these patterns of symmetry enhancement following two arguments due to Razamat, Sela and Zafrir. The first one involves the study of the relations satisfied by marginal operators, while the second one relies on the existence of self-duality frames.

arXiv comment54 pages, 5 figures; v2: published version

References in corpus (30)

• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• An Index for 4 dimensional Super Conformal Theories
• The Exact Superconformal R-Symmetry Maximizes a
• Counting chiral primaries in N=1 d=4 superconformal field theories
• Applications of the Superconformal Index for Protected Operators and q-Hypergeometric Identities to N=1 Dual Theories
• Counting BPS Operators in Gauge Theories: Quivers, Syzygies and Plethystics
• Exact Superpotentials, Quantum Vacua and Duality in Supersymmetric SP(N_c) Gauge Theories
• Supersymmetric gauge theories with decoupled operators and chiral ring stability
• Superconformal indices for N=1 theories with multiple duals
• The superconformal index of N=1 class S fixed points
• An E7 Surprise
• E-String Theory on Riemann Surfaces
• D-type Conformal Matter and SU/USp Quivers
• Compactification of 6d minimal SCFTs on Riemann surfaces
• Exact Results and Duality for SP(2N) SUSY Gauge Theories with an Antisymmetric Tensor
• Rank $Q$ E-string on a torus with flux
• Flipping the head of T[SU(N)]: mirror symmetry, spectral duality and monopoles
• Finite-Dimensional Lie Algebras and Their Representations for Unified Model Building
• Self-Dual N=1 SUSY Gauge Theories
• 3d dualities from 2d free field correlators: recombination and rank stabilization
• N=1 theories of class S_k
• Curious patterns of IR symmetry enhancement
• Between symmetry and duality in supersymmetric QFT
• Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d
• 4d N=1 from 6d N=(1,0) on a torus with fluxes
• Classification of large N superconformal gauge theories with a dense spectrum
• E_8 orbits of IR dualities
• Symmetry enhancement and duality walls in 5d gauge theories
• 4d N=1 from 6d D-type N=(1,0)
• Rank $Q$ E-String on Spheres with Flux

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• New 2d $\mathcal{N}=(0,2)$ dualities from four dimensions
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• Dualities from dualities: the sequential deconfinement technique
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• Symmetry enhancement in RCFT
• Monopole deformations of 3d Seiberg-like dualities with adjoint matters
• Rank $Q$ E-String on Spheres with Flux
• Sequential deconfinement and self-dualities in $4d$ $\mathcal{N}=1$ gauge theories