Seiberg-like Dualities for 3d N=2 Theories with SU(N) gauge group

Abstract

We work out Seiberg-like dualities for 3d $\mathcal{N}=2$ theories with SU(N) gauge group. We use the $SL(2,\mathbb{Z})$ action on 3d conformal field theories with U(1) global symmetry. One of generator S of $SL(2,\mathbb{Z})$ acts as gauging of the U(1) global symmetry. Utilizing $S=S^{-1}$ up to charge conjugation, we obtain Seiberg-like dual of SU(N) theories by gauging topological U(1) symmetry of the Seiberg-like dual of U(N) theories with the same matter content. We work out the Aharony dualities for SU(N) gauge theory with $N_f$ fundamental/anti-fundamnetal flavors, with/without one adjoint matter with the superpotential. We also work out the Giveon-Kutasov dualities for SU(N) gauge theory with Chern-Simons term and with $N_f$ fundamental/anti-fundamental flavors. For all the proposed dualities, we give various evidences such as chiral ring matching and the superconformal index computations. We find the perfect matchings.

arXiv comment29 pages; SU(N) dual with N_f=N_c clarified

References in corpus (34)

• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• The Exact Superconformal R-Symmetry Extremizes Z
• SUSY Gauge Theories on Squashed Three-Spheres
• Aspects of N=2 Supersymmetric Gauge Theories in Three Dimensions
• The complete superconformal index for N=6 Chern-Simons theory
• 3d dualities from 4d dualities
• Seiberg Duality in Chern-Simons Theory
• Index for three dimensional superconformal field theories with general R-charge assignments
• IR Duality in d=3 N=2 Supersymmetric USp(2N_c) and U(N_c) Gauge Theories
• Comments on 3d Seiberg-like dualities
• Nonperturbative Tests of Three-Dimensional Dualities
• Superconformal Indices for $\mathcal{N}=6$ Chern Simons Theories
• Aspects of 3d N=2 Chern-Simons-Matter Theories
• Generalized Superconformal Index for Three Dimensional Field Theories
• Superconformal indices of three-dimensional theories related by mirror symmetry
• Seiberg Duality in Chern-Simons Theories with Fundamental and Adjoint Matter
• SL(2,Z) Action On Three-Dimensional Conformal Field Theories With Abelian Symmetry
• 3-Manifolds and 3d Indices
• F-theorem, duality and SUSY breaking in one-adjoint Chern-Simons-Matter theories
• Aharony Dualities for 3d Theories with Adjoint Matter
• N=2 Dualities and Z Extremization in Three Dimensions
• New and old N=8 superconformal field theories in three dimensions
• Seiberg-like duality in three dimensions for orthogonal gauge groups
• Dualities for 3d Theories with Tensor Matter
• A Duality Appetizer
• Evidence for Aharony duality for orthogonal gauge groups
• Gauge Theories Labelled by Three-Manifolds
• Index computation for 3d Chern-Simons matter theory: test of Seiberg-like duality
• On O(N_c) d=3 N=2 supersymmetric QCD Theories
• R-charges, Chiral Rings and RG Flows in Supersymmetric Chern-Simons-Matter Theories
• Superconformal Index and 3d-3d Correspondence for Mapping Cylinder/Torus
• Aharony duality and monopole operators in three dimensions
• ABCD of 3d $\mathcal{N}=8$ and 4 Superconformal Field Theories
• Monopole operators, moduli spaces and dualities

Cited by in corpus (44)

• Level/rank Duality and Chern-Simons-Matter Theories
• 3d dualities from 4d dualities
• Particle-Vortex Duality from 3d Bosonization
• Comments on Global Symmetries, Anomalies, and Duality in (2+1)d
• 3d dualities from 4d dualities for orthogonal groups
• Chern-Simons-matter dualities with $SO$ and $USp$ gauge groups
• Dual Boundary Conditions in 3d SCFT's
• A Symmetry Breaking Scenario for QCD${}_3$
• Flows, Fixed Points and Duality in Chern-Simons-matter theories
• Localization on three-dimensional manifolds
• Dynamics of 3D SUSY Gauge Theories with Antisymmetric Matter
• Non-Abelian 3d Bosonization and Quantum Hall States
• IR Dualities in General 3d Supersymmetric SU(N) QCD Theories
• Constraining momentum space correlators using slightly broken higher spin symmetry
• From 3d duality to 2d duality
• Fundamental Vortices, Wall-Crossing, and Particle-Vortex Duality
• Quiver gauge theories and integrable lattice models
• 3d duality with adjoint matter from 4d duality
• A new pentagon identity for the tetrahedron index
• Basic hypergeometry of supersymmetric dualities
• Dualities for three-dimensional $\mathcal{N}=2$ $SU(N_c)$ chiral adjoint SQCD
• Chiral 3d SU(3) SQCD and N=2 mirror duality
• 3d Deconfinement, Product gauge group, Seiberg-Witten and New 3d dualities
• Correlation functions in $\mathcal{N}=2$ Supersymmetric vector matter Chern-Simons theory
• String theory and the 4D/3D reduction of Seiberg duality. A Review
• Notes on Integral Identities for 3d Supersymmetric Dualities
• 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
• 3d "chiral" Kutasov-Schwimmer duality
• Mass-deformed $\mathcal{N}=3$ Supersymmetric Chern-Simons-Matter Theory
• Web of Seiberg-like dualities for 3d $\mathcal{N}=2$ quivers
• Seiberg-like dualities for orthogonal and symplectic 3d $\mathcal{N}=2$ gauge theories with boundaries
• $QC{D}_3$ Dualities and the F-Theorem
• Flows between Dualities for 3d Chern-Simons Theories
• Gauging and Decoupling in 3d $\mathcal{N}=2$ dualities
• Scattering Amplitudes in $\mathcal{N}=3$ Supersymmetric $SU(N)$ Chern-Simons-Matter Theory at Large $N$
• Boundary confining dualities and Askey-Wilson type $q$-beta integrals
• S-duality wall of SQCD from Toda braiding
• Is toric duality a Seiberg-like duality in (2+1)-d ?
• 3d $Spin(N)$ Seiberg dualities
• A journey to 3d: exact relations for adjoint SQCD from dimensional reduction
• Coulomb branch in 3d $\mathcal{N}=2$ $SU(N{)}_k$ Chern-Simons gauge theories with chiral matter content
• Factorization of the 3d superconformal index with an adjoint matter