More Three Dimensional Mirror Pairs

Abstract

We found a lot of new three dimensional N = 4 mirror pairs generalizing previous considerations on three dimensional generalized quiver gauge theories. We recovered almost all previous discovered mirror pairs with these constructions. One side of these mirror pairs are always the conventional quiver gauge theories. One of our result can also be used to determine the matter content and weakly coupled gauge groups of four dimensional N = 2 generalized quiver gauge theories derived from six dimensional A_N and D_N theory, therefore we explicitly constructed four dimensional S-duality pairs.

33 pages, 18 figures version2 minor corrections

References in corpus (40)

• N=2 dualities
• 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
• Type IIB Superstrings, BPS Monopoles, And Three-Dimensional Gauge Dynamics
• New N=2 Superconformal Field Theories in Four Dimensions
• Aspects of N=2 Supersymmetric Gauge Theories in Three Dimensions
• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• 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
• Nonperturbative Tests of Three-Dimensional Dualities
• Mirror Symmetry in Three-Dimensional Gauge Theories, SL(2,Z) and D-Brane Moduli Spaces
• Mirrors of 3d Sicilian theories
• Monopole Operators and Mirror Symmetry in Three Dimensions
• Tinkertoys for Gaiotto Duality
• 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
• D_n Quivers From Branes
• Mirror symmetry by O3-planes
• Irregular connections and Kac-Moody root systems
• New Seiberg Dualities from N=2 Dualities
• Gauge Theory And Wild Ramification
• Hitchin Equation, Singularity, and N=2 Superconformal Field Theories
• N=2 S-duality via Outer-automorphism Twists
• N=2 Generalized Superconformal Quiver Gauge Theory
• Hitchin Equation, Irregular Singularity, and $N=2$ Asymptotical Free Theories
• Non-Abelian Conifold Transitions and N=4 Dualities in Three Dimensions
• N=2 SU Quiver with USP Ends or SU Ends with Antisymmetric Matter
• Quivers and difference Painleve equations
• New IR Dualities in Supersymmetric Gauge Theory in Three Dimensions

Cited by in corpus (30)

• General Argyres-Douglas Theory
• Tinkertoys for the D_N series
• Coulomb and Higgs Branches from Canonical Singularities: Part 0
• Lagrangians for generalized Argyres-Douglas theories
• Supersymmetric gauge theories with decoupled operators and chiral ring stability
• Central charges and RG flow of strongly-coupled N=2 theory
• Abelianization and Sequential Confinement in $2+1$ dimensions
• New aspects of Argyres--Douglas theories and their dimensional reduction
• Argyres-Douglas Theories, Chiral Algebras and Wild Hitchin Characters
• Argyres-Douglas Theories and S-Duality
• Complete Graphs, Hilbert Series, and the Higgs branch of the 4d N=2 $(A_n,A_m)$ SCFT's
• Quantum Higgs branches of isolated N=2 superconformal field theories
• A tale of exceptional 3d dualities
• N=2 Generalized Superconformal Quiver Gauge Theory
• Fibrations and Hasse diagrams for 6d SCFTs
• 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
• Argyres-Douglas matter and N=2 dualities
• The $SL(2,\mathbb{Z})$ dualization algorithm at work
• 3d mirrors of the circle reduction of twisted $A_{2N}$ theories of class $\mathsf{S}$
• Argyres-Douglas matter and S-duality: Part II
• 3d TQFTs from Argyres-Douglas theories
• On dimensional reduction of 4d N=1 Lagrangians for Argyres-Douglas theories
• Notes on Integral Identities for 3d Supersymmetric Dualities
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Confinement and duality in supersymmetric gauge theories
• The gravity duals of SO/USp superconformal quivers
• 4d/2d $\to$ 3d/1d: A song of protected operator algebras
• 3d mirror for Argyres-Douglas theories