Mirrors of 3d Sicilian theories

Abstract

We consider the compactification of the 6d N=(2,0) theories, or equivalently of M-theory 5-branes, on a punctured Riemann surface times a circle. This gives rise to what we call 3d N=4 Sicilian theories, and we find that their mirror theories are star-shaped quiver gauge theories. We also discuss an alternative construction of these 3d theories through 4d N=4 SYM on a graph, which allows us to obtain the 3d mirror via 4d S-duality.

35 pages, 20 figures

References in corpus (30)

• N=2 dualities
• Supergravity description of field theories on curved manifolds and a no go theorem
• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• Mirror Symmetry in Three Dimensional Gauge Theories
• Type IIB Superstrings, BPS Monopoles, And Three-Dimensional Gauge Dynamics
• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• Branes, Superpotentials and Superconformal Fixed Points
• Wall-crossing, Hitchin Systems, and the WKB Approximation
• An N=2 Superconformal Fixed Point with E_6 Global Symmetry
• On Mirror Symmetry in Three Dimensional Abelian Gauge Theories
• S-duality in N=2 supersymmetric gauge theories
• Webs of five-branes and N=2 superconformal field theories
• Mirror Symmetry in Three-Dimensional Gauge Theories, Quivers and D-branes
• Superconformal Fixed Points with E_n Global Symmetry
• S-duality and 2d Topological QFT
• Gauge Dynamics And Compactification To Three Dimensions
• Mirror Symmetry in Three-Dimensional Gauge Theories, SL(2,Z) and D-Brane Moduli Spaces
• Sicilian gauge theories and N=1 dualities
• The gravity duals of N=2 superconformal field theories
• The Superconformal Index of the E_6 SCFT
• Six-dimensional D_N theory and four-dimensional SO-USp quivers
• Infinite coupling duals of N=2 gauge theories and new rank 1 superconformal field theories
• Mirror symmetry by O3-planes
• New Seiberg Dualities from N=2 Dualities
• Solution of N=2 Gauge Theories via Compactification to Three Dimensions
• Hitchin Equation, Singularity, and N=2 Superconformal Field Theories
• N=2 SU Quiver with USP Ends or SU Ends with Antisymmetric Matter
• Quivers and difference Painleve equations
• Quiver algebras, weighted projective lines, and the Deligne-Simpson problem
• HyperKähler Potentials via Finite-Dimensional Quotients

Cited by in corpus (135)

• Partition functions of N=(2,2) gauge theories on S^2 and vortices
• Two-dimensional SCFTs from wrapped branes and c-extremization
• Nilpotent orbits and codimension-two defects of 6d N=(2,0) theories
• Bootstrapping the superconformal index with surface defects
• General Argyres-Douglas Theory
• Towards a mathematical definition of Coulomb branches of $3$-dimensional $\mathcal{N}=4$ gauge theories, II
• Tinkertoys for Gaiotto Duality
• 4d Index to 3d Index and 2d TQFT
• Tinkertoys for the D_N series
• Fivebranes and 3-manifold homology
• Coulomb and Higgs Branches from Canonical Singularities: Part 0
• Down the rabbit hole with theories of class S
• Higgs branch localization in three dimensions
• 5d and 4d SCFTs: Canonical Singularities, Trinions and S-Dualities
• Lagrangians for generalized Argyres-Douglas theories
• Tinkertoys for the Twisted D-Series
• Classification of Argyres-Douglas theories from M5 branes
• 3d Coulomb branch and 5d Higgs branch at infinite coupling
• $E_8$ instantons on type-A ALE spaces and supersymmetric field theories
• Quiver Subtractions
• EFT and the SUSY Index on the 2nd Sheet
• A "Lagrangian" for a non-Lagrangian theory
• T^σ_ρ(G) Theories and Their Hilbert Series
• Central charges and RG flow of strongly-coupled N=2 theory
• 3D-partition functions on the sphere: exact evaluation and mirror symmetry
• 3d Partition Function as Overlap of Wavefunctions
• Abelianization and Sequential Confinement in $2+1$ dimensions
• Coulomb branch Hilbert series and Hall-Littlewood polynomials
• D-type Conformal Matter and SU/USp Quivers
• Reducing the 4d Index to the S^3 Partition Function
• Coulomb branch Hilbert series and Three Dimensional Sicilian Theories
• Discrete Gauging in Six Dimensions
• Quiver Theories for Moduli Spaces of Classical Group Nilpotent Orbits
• Magnetic Quivers, Higgs Branches, and 6d N=(1,0) Theories -- Orthogonal and Symplectic Gauge Groups
• Mixed Anomalies, Two-groups, Non-Invertible Symmetries, and 3d Superconformal Indices
• M5 brane and four dimensional N=1 theories I
• Argyres-Douglas Theories, S^1 Reductions, and Topological Symmetries
• Magnetic Quivers from Brane Webs with O5 Planes
• Argyres-Douglas Theories, Chiral Algebras and Wild Hitchin Characters
• Mass-deformed $T_N$ as a linear quiver
• Higher-Form Symmetries, Bethe Vacua, and the 3d-3d Correspondence
• Tinkertoys for the Z3-twisted D4 Theory
• A review of the T_N theory and its cousins
• N=1 dynamics with T_N theory
• Rotating Black Hole Entropy from M5-branes
• Branes and the Kraft-Procesi transition: classical case
• Symmetry enhancement and closing of knots in 3d/3d correspondence
• T-branes, Anomalies and Moduli Spaces in 6D SCFTs
• Complete Graphs, Hilbert Series, and the Higgs branch of the 4d N=2 $(A_n,A_m)$ SCFT's
• 5D and 6D SCFTs from ${\mathbb{C}}^3$ orbifolds
• More Three Dimensional Mirror Pairs
• The superconformal index and an elliptic algebra of surface defects
• Seiberg-Witten Geometries Revisited
• Small instanton transitions for M5 fractions
• Large N Free Energy of 3d N=4 SCFTs and AdS/CFT
• A slow review of the AGT correspondence
• Magnetic Lattices for Orthosymplectic Quivers
• Supersymmetric gauge theory, (2,0) theory and twisted 5d Super-Yang-Mills
• Five-brane webs, Higgs branches and unitary/orthosymplectic magnetic quivers
• N=2 Generalized Superconformal Quiver Gauge Theory
• Magnetic quivers for rank 2 theories
• 3d dualities from 2d free field correlators: recombination and rank stabilization
• Fibrations and Hasse diagrams for 6d SCFTs
• $\mathcal{N}=1$ dualities in 2+1 dimensions
• On 6d N=(2,0) theory compactified on a Riemann surface with finite area
• Dynamical consequences of 1-form symmetries and the exceptional Argyres-Douglas theories
• N=1 theories of class S_k
• VOAs and rank-two instanton SCFTs
• Factorised 3d $\mathcal{N}=4$ orthosymplectic quivers
• Conformal Manifolds and 3d Mirrors of Argyres-Douglas theories
• Ring objects in the equivariant derived Satake category arising from Coulomb branches (with an appendix by Gus Lonergan)
• Three Dimensional Mirror Symmetry beyond $ADE$ quivers and Argyres-Douglas theories
• Trisecting non-Lagrangian theories
• T-branes, monopoles and S-duality
• The moduli space of instantons on an ALE space from 3d $\mathcal{N}=4$ field theories
• Magnetic quivers and negatively charged branes
• Conformal Manifolds and 3d Mirrors of $(D_n,D_m)$ Theories
• A Family of $4D$ $\mathcal{N}=2$ Interacting SCFTs from the Twisted $A_{2N}$ Series
• Quiver Theories and Hilbert Series of Classical Slodowy Intersections
• The moduli spaces of S-fold CFTs
• On 2d TQFTs whose values are holomorphic symplectic varieties
• Higgs, Coulomb, and Hall-Littlewood
• Higgs branch RG-flows via Decay and Fission
• On Three-Dimensional Quiver Gauge Theories of Type B
• Argyres-Douglas matter and N=2 dualities
• Quiver Theories and Formulae for Slodowy Slices of Classical Algebras
• Probing 7-branes on Orbifolds
• Ungauging Schemes and Coulomb Branches of Non-simply Laced Quiver Theories
• Network, Cluster coordinates and N=2 theory I
• Generalized Symmetries and Anomalies of 3d N=4 SCFTs
• Mirror Symmetry in Three Dimensions via Gauged Linear Quivers
• Nilpotent orbits and the Coulomb branch of $T^{\sigma }(G)$ theories: special orthogonal vs orthogonal gauge group factors
• 3d mirrors of the circle reduction of twisted $A_{2N}$ theories of class $\mathsf{S}$
• Argyres-Douglas matter and S-duality: Part II
• Refined 3d-3d Correspondence
• Star shaped quivers with flux
• The Higgs branch of Heterotic ALE instantons
• Brane webs in the presence of an $O{5}^{-}$-plane and 4d class S theories of type D
• On dimensional reduction of 4d N=1 Lagrangians for Argyres-Douglas theories
• 3d N=4 Bootstrap and Mirror Symmetry
• On $\mathcal{N}=4$ supersymmetry enhancements in three dimensions
• A geometric free field realisation for the genus-two class $\mathcal{S}$ theory of type ${\mathfrak{a}}_1$
• Hyperpolygons and Hitchin systems
• Star shaped quivers in four dimensions
• BPS spectrum, wall crossing and quantum dilogarithm identity
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Infinitely many 4d N=1 SCFTs with a=c
• A tale of 2-groups: D${}_p$(USp(2N)) theories
• Minimally Unbalanced Quivers
• Coulomb Branches of Star-Shaped Quivers
• Web of Seiberg-like dualities for 3d $\mathcal{N}=2$ quivers
• Confinement and duality in supersymmetric gauge theories
• Orthosymplectic Quotient Quiver Subtraction
• The gravity duals of SO/USp superconformal quivers
• 4d/2d $\to$ 3d/1d: A song of protected operator algebras
• Peculiar Index Relations, 2D TQFT, and Universality of SUSY Enhancement
• 3d mirror for Argyres-Douglas theories
• On low rank 4d $\mathcal{N}=2$ SCFTs
• Complex Symplectic Contractions and 3d Mirrors
• Three dimensional Seiberg-like duality and tropical cluster algebra
• Holographic Duality for three-dimensional Super-conformal Field Theories
• Non-hyperbolic 3-manifolds and 3D field theories for 2D Virasoro minimal models
• Quiver Polymerisation
• Rank $Q$ E-String on Spheres with Flux
• On the planar limit of 3d $T_{\rho }^{\sigma }[SU(N)]$
• 4d $\mathcal{N}=2$ SCFTs and lisse W-algebras
• Weak Coupling Limits and Colliding Punctures in Class-S Theories
• Schur correlation functions from q-deformed Yang-Mills
• Twisted chiral algebras of class $\mathcal{S}$ and mixed Feigin-Frenkel gluing
• From Regular to Irregular: A Unified Origin for Argyres-Douglas Theories
• Aspects of 4d supersymmetric dynamics and geometry
• Orbi-Instantons and Class $\mathcal{S}$ Theories of Type D
• FI-flows of 3d N=4 Theories
• HWG for Coulomb branch of $3d$ Sicilian theory mirrors
• Complex crystallographic reflection groups and Seiberg-Witten integrable systems: rank 1 case