3d mirrors of the circle reduction of twisted $A_{2N}$ theories of class $\mathsf{S}$

Abstract

Mirror symmetry has proven to be a powerful tool to study several properties of higher dimensional superconformal field theories upon compactification to three dimensions. We propose a quiver description for the mirror theories of the circle reduction of twisted $A_{2N}$ theories of class $\mathsf{S}$ in four dimensions. Although these quivers bear a resemblance to the star-shaped quivers previously studied in the literature, they contain unitary, symplectic and special orthogonal gauge groups, along with hypermultiplets in the fundamental representation. The vacuum moduli spaces of these quiver theories are studied in detail. The Coulomb branch Hilbert series of the mirror theory can be matched with that of the Higgs branch of the corresponding four dimensional theory, providing a non-trivial check of our proposal. Moreover various deformations by mass and Fayet-Iliopoulos terms of such quiver theories are investigated. The fact that several of them flow to expected theories also gives another strong support for the proposal. Utilising the mirror quiver description, we discover a new supersymmetry enhancement renormalisation group flow.

arXiv comment56 pages and a number of figures. Version 2: references and comment added

References in corpus (69)

• N=2 dualities
• Solutions Of Four-Dimensional Field Theories Via M Theory
• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• Mirror Symmetry in Three Dimensional Gauge Theories
• New Phenomena in SU(3) Supersymmetric Gauge Theory
• Five Dimensional SUSY Field Theories, Non-trivial Fixed Points and String Dynamics
• Comments on String Dynamics in Six Dimensions
• Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams
• New N=2 Superconformal Field Theories in Four Dimensions
• Extremal Transitions and Five-Dimensional Supersymmetric Field Theories
• Five-Dimensional Supersymmetric Gauge Theories and Degenerations of Calabi-Yau Spaces
• Small $E_8$ Instantons and Tensionless Non-critical Strings
• Gauge Theories and Macdonald Polynomials
• 6d Conformal Matter
• S-duality in N=2 supersymmetric gauge theories
• The 4d Superconformal Index from q-deformed 2d Yang-Mills
• Mirror Symmetry in Three-Dimensional Gauge Theories, Quivers and D-branes
• S-duality and 2d Topological QFT
• Monopole operators and Hilbert series of Coulomb branches of 3d N = 4 gauge theories
• Mirrors of 3d Sicilian theories
• Bootstrapping the superconformal index with surface defects
• General Argyres-Douglas Theory
• On the Superconformal Index of Argyres-Douglas Theories
• The Hilbert Series of the One Instanton Moduli Space
• More on the N=2 superconformal systems of type $D_p(G)$
• Lagrangians for generalized Argyres-Douglas theories
• Coulomb Branch and The Moduli Space of Instantons
• Multi instanton calculus on ALE spaces
• Counting Chiral Operators in Quiver Gauge Theories
• D_n Quivers From Branes
• Infinitely many N=2 SCFT with ADE flavor symmetry
• Tropical Geometry and Five Dimensional Higgs Branches at Infinite Coupling
• 3d Coulomb branch and 5d Higgs branch at infinite coupling
• Quiver Subtractions
• $E_8$ instantons on type-A ALE spaces and supersymmetric field theories
• Trifectas for $T_N$ in 5d
• T^σ_ρ(G) Theories and Their Hilbert Series
• Central charges and RG flow of strongly-coupled N=2 theory
• M-Theory Origin of Mirror Symmetry in Three Dimensional Gauge Theories
• Coulomb branch Hilbert series and Hall-Littlewood polynomials
• Branes, Instantons, And Taub-NUT Spaces
• Coulomb branch Hilbert series and Three Dimensional Sicilian Theories
• Hilbert Series for Moduli Spaces of Two Instantons
• Highest Weight Generating Functions for Hilbert Series
• Compactifications of 6d $N=(1,0)$ SCFTs with non-trivial Stiefel-Whitney classes
• Magnetic Quivers, Higgs Branches, and 6d N=(1,0) Theories -- Orthogonal and Symplectic Gauge Groups
• Discrete Gauging in Six Dimensions
• Explicit Construction of Yang-Mills Instantons on ALE Spaces
• Mirror symmetry by O3-planes
• Argyres-Douglas Theories, S^1 Reductions, and Topological Symmetries
• The Superconformal Index of Class S Theories of Type D
• Tri-vertices and SU(2)'s
• Magnetic Quivers from Brane Webs with O5 Planes
• Argyres-Douglas Theories and S-Duality
• The Small $E_8$ Instanton and the Kraft Procesi Transition
• 4d $\mathcal{N}=2$ S-folds
• N=2 S-duality Revisited
• 2d TQFT structure of the superconformal indices with outer-automorphism twists
• Complete Graphs, Hilbert Series, and the Higgs branch of the 4d N=2 $(A_n,A_m)$ SCFT's
• More Three Dimensional Mirror Pairs
• Consistency Conditions for Fivebrane in M Theory on R^5/Z_2 Orbifold
• Moduli Spaces of Instantons on the Taub-NUT Space
• Complete Intersection Moduli Spaces in N=4 Gauge Theories in Three Dimensions
• Small instanton transitions for M5 fractions
• Hilbert Series for Moduli Spaces of Instantons on C^2/Z_n
• VOAs and rank-two instanton SCFTs
• Comments on the twisted punctures of $A_{\text{even}}$ class S theory
• Flowing from 16 to 32 Supercharges
• Peculiar Index Relations, 2D TQFT, and Universality of SUSY Enhancement

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• Coulomb and Higgs Branches from Canonical Singularities: Part 0
• New aspects of Argyres--Douglas theories and their dimensional reduction
• Magnetic quivers for rank 2 theories
• Fibrations and Hasse diagrams for 6d SCFTs
• Factorised 3d $\mathcal{N}=4$ orthosymplectic quivers
• Conformal Manifolds and 3d Mirrors of Argyres-Douglas theories
• Conformal Manifolds and 3d Mirrors of $(D_n,D_m)$ Theories
• Higgs, Coulomb, and Hall-Littlewood
• Generalized Symmetries and Anomalies of 3d N=4 SCFTs
• Discrete gauging and Hasse diagrams
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Twisted chiral algebras of class $\mathcal{S}$ and mixed Feigin-Frenkel gluing
• FI-flows of 3d N=4 Theories
• Aspects of 4d supersymmetric dynamics and geometry