A Duality Appetizer

Abstract

We propose that the three-dimensional N=2 SU(2) Chern-Simons theory at level 1 coupled to an adjoint chiral multiplet with no superpotential is equivalent to the free field theory consisting of a single massless N=2 chiral multiplet. In particular, we show that the two theories have the identical "Z-function" and identical superconformal index.

6 pages; signs corrected, references added

References in corpus (9)

• An Index for 4 dimensional Super Conformal Theories
• Mirror Symmetry in Three Dimensional Gauge Theories
• Notes on Superconformal Chern-Simons-Matter Theories
• The complete superconformal index for N=6 Chern-Simons theory
• Seiberg Duality in Chern-Simons Theory
• Quantization of models with non-compact quantum group symmetry. Modular XXZ magnet and lattice sinh-Gordon model
• Seiberg Duality in Chern-Simons Theories with Fundamental and Adjoint Matter
• New and old N=8 superconformal field theories in three dimensions
• Chern-Simons-Matter Theory and Mirror Symmetry

Cited by in corpus (28)

• Comments on Chern-Simons Contact Terms in Three Dimensions
• N=2 supersymmetric theories on squashed three-sphere
• Aspects of 3d N=2 Chern-Simons-Matter Theories
• From 4d superconformal indices to 3d partition functions
• Fivebranes and 3-manifold homology
• The gravity dual of supersymmetric gauge theories on a squashed three-sphere
• Relation between the 4d superconformal index and the S^3 partition function
• Dual Boundary Conditions in 3d SCFT's
• Seifert fibering operators in 3d $\mathcal{N}=2$ theories
• F-theorem, duality and SUSY breaking in one-adjoint Chern-Simons-Matter theories
• Aharony Dualities for 3d Theories with Adjoint Matter
• Seiberg-like Dualities for 3d N=2 Theories with SU(N) gauge group
• S^3/Z_n partition function and dualities
• Supersymmetric partition functions on Riemann surfaces
• Factorization of S^3/Z_n partition function
• Aharony duality and monopole operators in three dimensions
• Chern-Simons and RG Flows: Contact with Dualities
• F-maximization along the RG flows: a proposal
• Refined Checks and Exact Dualities in Three Dimensions
• A 3d-3d appetizer
• Localization of supersymmetric field theories on non-compact hyperbolic three-manifolds
• Refined 3d-3d Correspondence
• Star shaped quivers with flux
• String theory and the 4D/3D reduction of Seiberg duality. A Review
• Factorization of the 3d superconformal index
• Index for Three Dimensional Superconformal Field Theories and Its Applications
• A journey to 3d: exact relations for adjoint SQCD from dimensional reduction
• The Holographic Contributions to the Sphere Free Energy