Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d

Abstract

We consider a known sequence of dualities involving $4d$ $\mathcal{N}=1$ theories with $Spin(n)$ gauge groups and use it to construct a new sequence of models exhibiting IR symmetry enhancement. Then, motivated by the observed pattern of IR symmetries we conjecture six-dimensional theories the compactification of which on a Riemann surface yields the $4d$ sequence of models along with their symmetry enhancements, and put them to several consistency checks.

arXiv comment36 pages; Minor modifications, references added

References in corpus (60)

• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• N=2 dualities
• An Index for 4 dimensional Super Conformal Theories
• Five Dimensional SUSY Field Theories, Non-trivial Fixed Points and String Dynamics
• The Exact Superconformal R-Symmetry Maximizes a
• Counting chiral primaries in N=1 d=4 superconformal field theories
• Rigid Supersymmetric Theories in Curved Superspace
• Deconfined quantum critical points: symmetries and dualities
• Applications of the Superconformal Index for Protected Operators and q-Hypergeometric Identities to N=1 Dual Theories
• 6d Conformal Matter
• Four-Dimensional SCFTs from M5-Branes
• M5-Branes, D4-Branes and Quantum 5D super-Yang-Mills
• On D=5 super Yang-Mills theory and (2,0) theory
• On Geometric Classification of 5d SCFTs
• Branes, Calabi-Yau Spaces, and Toroidal Compactification of the N=1 Six-Dimensional E_8 Theory
• Sicilian gauge theories and N=1 dualities
• Exactly Marginal Deformations and Global Symmetries
• Localization on Hopf surfaces
• 5d Superconformal Field Theories and Graphs
• 6D SCFTs and Phases of 5D Theories
• Fibers add Flavor, Part I: Classification of 5d SCFTs, Flavor Symmetries and BPS States
• The $\mathcal{N}=1$ Chiral Multiplet on $T^2\times S^2$ and Supersymmetric Localization
• Classifying 5d SCFTs via 6d SCFTs: Arbitrary rank
• Supersymmetric gauge theories with decoupled operators and chiral ring stability
• Instanton operators and symmetry enhancement in 5d supersymmetric gauge theories
• The superconformal index of N=1 class S fixed points
• More on 5d descriptions of 6d SCFTs
• 3d Coulomb branch and 5d Higgs branch at infinite coupling
• A new 5d description of 6d D-type minimal conformal matter
• Instanton Operators and the Higgs Branch at Infinite Coupling
• Classifying 5d SCFTs via 6d SCFTs: Rank one
• An E7 Surprise
• Twisted Circle Compactifications of 6d SCFTs
• E-String Theory on Riemann Surfaces
• Phases of 5d SCFTs from M-/F-theory on Non-Flat Fibrations
• 6d SCFTs, 5d Dualities and Tao Web Diagrams
• D-type Conformal Matter and SU/USp Quivers
• Compactification of 6d minimal SCFTs on Riemann surfaces
• Compactifications of 6d $N=(1,0)$ SCFTs with non-trivial Stiefel-Whitney classes
• Discrete Gauging in Six Dimensions
• Compactifications of ADE conformal matter on a torus
• Brane webs, $5d$ gauge theories and $6d$ $\mathcal{N}$$=(1,0)$ SCFT's
• The Small $E_8$ Instanton and the Kraft Procesi Transition
• Self-Dual N=1 SUSY Gauge Theories
• Towards Classification of 5d SCFTs: Single Gauge Node
• 6d $\mathcal{N}=(1,0)$ theories on $S^1/T^2$ and class S theories: part II
• N=1 theories of class S_k
• More on N=1 Self-Dualities and Exceptional Gauge Groups
• Curious patterns of IR symmetry enhancement
• Between symmetry and duality in supersymmetric QFT
• The Geometry of the SU(2)$\times$ G${}_2$-model
• On the torus compactifications of $Z_2$ orbifolds of E-string theories
• Chiral 3d SU(3) SQCD and N=2 mirror duality
• Mordell-Weil Torsion, Anomalies, and Phase Transitions
• The Geometry of SO(3), SO(5), and SO(6) models
• The Geometry of G${}_2$, Spin(7), and Spin(8)-models
• 4d N=1 from 6d N=(1,0) on a torus with fluxes
• E_8 orbits of IR dualities
• On the classification of 5d SCFTs
• 48 Crepant Paths to $\text{SU}(2)\times \text{SU}(3)$

Cited by in corpus (12)

• Classification of 5d N=1 gauge theories
• 6d SCFTs, Center-Flavor Symmetries, and Stiefel--Whitney Compactifications
• Quasi-Jacobi Forms, Elliptic Genera and Strings in Four Dimensions
• Star shaped quivers with flux
• Symmetry enhancement in RCFT
• Symmetry enhancement and duality walls in 5d gauge theories
• Flips, dualities and symmetry enhancements
• Trinions for the $3d$ compactification of the $5d$ rank 1 $E_{N_f+1}$ SCFTs
• Compactifying 5d superconformal field theories to 3d
• Rank $Q$ E-String on Spheres with Flux
• $G_2$-Manifolds from 4d N=1 Theories, Part I: Domain Walls
• Sequential deconfinement and self-dualities in $4d$ $\mathcal{N}=1$ gauge theories