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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

Anton Kapustin , Brian Willett , Itamar Yaakov This is my paper · ORCID
classification hep-th
keywords dualitytheoriesgaugechern-simonsdimensionsfunctionspartitionseiberg-like
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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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Cited by 2 Pith papers

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    Multi-flavor quasi-bosonic Chern-Simons-matter theories have an IR-stable fixed point only for N_f=2 and N_f>=5 at weak coupling, and at large N_f the fixed point annihilates with another at lambda=24*pi/N_f.

  2. Distribution amplitudes of heavy-light pseudo-scalar and vector mesons from Dyson-Schwinger equations framework

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    First DSE predictions for B*, B*_s, and B*_c distribution amplitudes show peaks near the Euclidean constituent quark mass ratio and a universal spin ordering.

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