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Published August 2020 | Submitted + Published
Journal Article Open

Tests of Seiberg-like Dualities 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.

Additional Information

© 2020 The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited. Article funded by SCOAP3. Received: July 22, 2020; Accepted: July 23, 2020; Published: August 24, 2020. We would like to thank Eric Rains for very helpful input on evaluating some of the matrix integrals, as well as Alexei Borodin. This work was supported in part by the DOE grant DE-FG02-92ER40701.

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Published - Kapustin2020_Article_TestsOfSeiberg-likeDualitiesIn.pdf

Submitted - 1012.4021.pdf

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Created:
August 22, 2023
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