Tests of Seiberg-like Duality in Three Dimensions

Abstract

We use localization techniques to study several duality proposals for supersymmetric gauge theories in three dimensions reminiscent of Seiberg duality. We compare the partition functions of dual theories deformed by real mass terms and FI parameters. We find that Seiberg-like duality for N=3 Chern-Simons gauge theories proposed by Giveon and Kutasov holds on the level of partition functions and is closely related to level-rank duality in pure Chern-Simons theory. We also clarify the relationship between the Giveon-Kutasov duality and a duality in theories of fractional M2 branes and propose a generalization of the latter. Our analysis also confirms previously known results concerning decoupled free sectors in N=4 gauge theories realized by monopole operators.

36 pages, 5 figures

References in corpus (4)

• Fractional M2-branes
• Seiberg Duality in Chern-Simons Theory
• Supersymmetry enhancement by monopole operators
• ABJM Mirrors and a Duality of Dualities

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• 3d $\mathcal{N}=3$ Generalized Giveon-Kutasov Duality
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• Distribution amplitudes of heavy-light pseudo-scalar and vector mesons from Dyson-Schwinger equations framework
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• The Holographic Contributions to the Sphere Free Energy