Chern-Simons and RG Flows: Contact with Dualities

Abstract

Contact terms in two point functions of global symmetry currents have recently been proposed as a check of Seiberg-like duality in three dimensional supersymmetric field theories. In this paper we compute the contact terms for various N=2 dual pairs in flat space. We show that the results of this computation agree with the ones obtained from localization. We study dual pairs of gauge theories with (anti-)fundamental matter fields, and some special examples of dual pairs with adjoint and antisymmetric matter fields. We also propose a duality between unitary and symplectic gauge theories.

arXiv comment29 pages, minor corrections and one reference added

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• A tale of exceptional 3d dualities
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• Basic hypergeometry of supersymmetric dualities
• ABJ Wilson loops and Seiberg Duality
• New 3d $\mathcal{N}=2$ Dualities from Quadratic Monopoles
• A toolkit for ortho-symplectic dualities
• Seiberg-like dualities for orthogonal and symplectic 3d $\mathcal{N}=2$ gauge theories with boundaries
• Monopoles and dualities in $3d$ $\mathcal{N}=2$ quivers
• Boundary confining dualities and Askey-Wilson type $q$-beta integrals
• Mordell integrals and Giveon-Kutasov duality
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• Phases of $\mathcal{N}=1$ Quivers in $2+1$ Dimensions
• A journey to 3d: exact relations for adjoint SQCD from dimensional reduction
• Sequential deconfinement in $3d$ $\mathcal{N}=2$ gauge theories
• The braneology of 3D dualities