Dualities for 3d Theories with Tensor Matter

Abstract

We study dualities for $\mathcal{N}=2$ 3d Chern-Simons matter theories with gauge groups U/Sp/O, matter in the two-index tensor representations (adjoint/symmetric/antisymmetric) in addition to the fundamental representation, and a superpotential. These dualities are analogous to Kutasov-Schwimmer-Seiberg dualities in 4d. We test them by computing the superconformal index and the partition function on $S^3$ for many dual pairs and find perfect agreement. In some cases we find a simple dual description for theories with tensor matter and no superpotential, thereby generalizing the "Duality Appetizer" of Jafferis and Yin to an infinite class of theories. We also investigate nonperturbative truncation of the chiral ring proposed in the context of 4d dualities.

28 pages; one reference added

References in corpus (8)

• Fractional M2-branes
• Notes on SUSY Gauge Theories on Three-Sphere
• Seiberg Duality in Chern-Simons Theory
• Comments on 3d Seiberg-like dualities
• Superconformal Indices for $\mathcal{N}=6$ Chern Simons Theories
• Superconformal indices of three-dimensional theories related by mirror symmetry
• Evidence for Aharony duality for orthogonal gauge groups
• Index computation for 3d Chern-Simons matter theory: test of Seiberg-like duality

Cited by in corpus (37)

• 3d dualities from 4d dualities
• Fivebranes and 3-manifold homology
• Supersymmetric Renyi Entropy
• Aharony Dualities for 3d Theories with Adjoint Matter
• Seiberg-like Dualities for 3d N=2 Theories with SU(N) gauge group
• Localization on three-dimensional manifolds
• Higher-Form Symmetries, Bethe Vacua, and the 3d-3d Correspondence
• Dynamics of 3D SUSY Gauge Theories with Antisymmetric Matter
• The F-Theorem and F-Maximization
• The Large N Limit of Toric Chern-Simons Matter Theories and Their Duals
• Phases of $\mathcal{N}=1$ Theories in 2+1 Dimensions
• A tale of exceptional 3d dualities
• Dualities and Phases of 3D N=1 SQCD
• Fundamental Vortices, Wall-Crossing, and Particle-Vortex Duality
• Chern-Simons and RG Flows: Contact with Dualities
• Hilbert Series for Theories with Aharony Duals
• Refined Checks and Exact Dualities in Three Dimensions
• Basic hypergeometry of supersymmetric dualities
• A 3d-3d appetizer
• On 3d Seiberg-like Dualities with Two Adjoints
• Refined 3d-3d Correspondence
• String theory and the 4D/3D reduction of Seiberg duality. A Review
• Generalized Giveon-Kutasov duality
• A Note On 3D N=2 Dualities: Real Mass Flow And Partition Function
• Twisted indices, Bethe ideals and 3d $\mathcal{N}=2$ infrared dualities
• A toolkit for ortho-symplectic dualities
• Seiberg-like dualities for orthogonal and symplectic 3d $\mathcal{N}=2$ gauge theories with boundaries
• $QC{D}_3$ Dualities and the F-Theorem
• Integral pentagon relations for 3d superconformal indices
• Flows between Dualities for 3d Chern-Simons Theories
• Boundary confining dualities and Askey-Wilson type $q$-beta integrals
• Monopole deformations of 3d Seiberg-like dualities with adjoint matters
• "Chiral'' and "Non-chiral'' 3d Seiberg duality
• Webs of 3d $\mathcal{N}=2$ dualities with D-type superpotentials
• 2D Seiberg-like dualities with an adjoint matter
• Low-Energy Dynamics of 3d $\mathcal{N}=2$ $G_2$ Supersymmetric Gauge Theory
• The Holographic Contributions to the Sphere Free Energy