Chiral 3d SU(3) SQCD and N=2 mirror duality

Abstract

Recently a very interesting three-dimensional $\mathcal{N}=2$ supersymmetric theory with $SU(3)$ global symmetry was discussed by several authors. We denote this model by $T_x$. This was conjectured to have two dual descriptions, one with explicit supersymmetry and emergent flavor symmetry and the other with explicit flavor symmetry and emergent supersymmetry. We discuss a third description of the model which has both flavor symmetry and supersymmetry manifest. We then investigate models which can be constructed by using $T_x$ as a building block gauging the global symmetry and paying special attention to the global structure of the gauge group. We conjecture several cases of $\mathcal{N}=2$ mirror dualities involving such constructions with the dual being either a simple $\mathcal{N}=2$ Wess-Zumino model or a discrete gauging thereof.

arXiv comment21 pages, 7 figures, harvmac; v2: references added, typos fixed

References in corpus (32)

• Generalized Global Symmetries
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• Exactly Marginal Operators and Duality in Four Dimensional N=1 Supersymmetric Gauge Theory
• Reading between the lines of four-dimensional gauge theories
• The Exact Superconformal R-Symmetry Extremizes Z
• A Duality Web in 2+1 Dimensions and Condensed Matter Physics
• Localization techniques in quantum field theories
• IR Duality in d=3 N=2 Supersymmetric USp(2N_c) and U(N_c) Gauge Theories
• Comments on 3d Seiberg-like dualities
• Baryons, monopoles and dualities in Chern-Simons-matter theories
• Exactly Marginal Deformations and Global Symmetries
• 4d Index to 3d Index and 2d TQFT
• 3d dualities from 4d dualities for orthogonal groups
• Down the rabbit hole with theories of class S
• Supersymmetric partition functions and the three-dimensional A-twist
• The superconformal index of N=1 class S fixed points
• SUSY monopole potentials in 2+1 dimensions
• 3D-partition functions on the sphere: exact evaluation and mirror symmetry
• Compactification of 6d minimal SCFTs on Riemann surfaces
• Global Properties of Supersymmetric Theories and the Lens Space
• Decoding a Three-Dimensional Conformal Manifold
• Seiberg-like Dualities for 3d N=2 Theories with SU(N) gauge group
• Localization on three-dimensional manifolds
• 3d N=2 mirror symmetry, pq-webs and monopole superpotentials
• Symmetry enhancement and closing of knots in 3d/3d correspondence
• Curious Aspects of Three-Dimensional $\mathcal{N}=1$ SCFTs
• Phases of $\mathcal{N}=1$ Theories in 2+1 Dimensions
• IR Dualities in General 3d Supersymmetric SU(N) QCD Theories
• Dualities and Phases of 3D N=1 SQCD
• Smallest 3d hyperbolic manifolds via simple 3d theories
• Mirror theories of 3d $\mathcal{N}=2$ SQCD

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• Conformal Manifolds and 3d Mirrors of Argyres-Douglas theories
• Dualities for three-dimensional $\mathcal{N}=2$ $SU(N_c)$ chiral adjoint SQCD
• Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d
• Twisted indices, Bethe ideals and 3d $\mathcal{N}=2$ infrared dualities
• Marginal Deformations of 3d N=4 Linear Quiver Theories
• 3D Dualities and Supersymmetry Enhancement from Domain Walls
• Branes, partition functions and quadratic monopole superpotentials
• Monopoles and dualities in $3d$ $\mathcal{N}=2$ quivers
• Dualities for adjoint SQCD in three dimensions and emergent symmetries
• Global Aspects of Spaces of Vacua
• Sequential deconfinement in $3d$ $\mathcal{N}=2$ gauge theories
• Aspects of 4d supersymmetric dynamics and geometry