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Tests of Seiberg-like Duality in Three Dimensions

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arxiv 1012.4021 v1 pith:BQ4O7AWD submitted 2010-12-17 hep-th

Tests of Seiberg-like Duality in Three Dimensions

classification hep-th
keywords dualitytheoriesgaugechern-simonsdimensionsfunctionspartitionseiberg-like
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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