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Tests of Seiberg-like Dualities in Three Dimensions

Kapustin, Anton and Willett, Brian and Yaakov, Itamar (2020) Tests of Seiberg-like Dualities in Three Dimensions. Journal of High Energy Physics, 2020 (8). Art. No. 114. ISSN 1126-6708.

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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.

Item Type:Article
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URLURL TypeDescription Paper
Kapustin, Anton0000-0003-3903-5158
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.
Funding AgencyGrant Number
Department of Energy (DOE)DE-FG02-92ER40701
Subject Keywords:Conformal Field Theory; Duality in Gauge Field Theories; Extended Super-symmetry; Supersymmetric Gauge Theory
Issue or Number:8
Record Number:CaltechAUTHORS:20160503-142729844
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Official Citation:Kapustin, A., Willett, B. & Yaakov, I. Tests of Seiberg-like dualities in three dimensions. J. High Energ. Phys. 2020, 114 (2020).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:66622
Deposited By: Ruth Sustaita
Deposited On:04 May 2016 05:01
Last Modified:25 Aug 2020 20:54

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