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Tests of Seiberg-like dualities in three dimensions

Tests of Seiberg-like dualities in three dimensions
Tests of Seiberg-like dualities in three dimensions
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.
1126-6708
Kapustin, A.
7b3c32cb-d169-4bd7-9aac-5309f2d4cb8c
Willett, B.
7a3f0b70-8048-4c54-b91f-5fed15f6e034
Yaakov, I.
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e
Kapustin, A.
7b3c32cb-d169-4bd7-9aac-5309f2d4cb8c
Willett, B.
7a3f0b70-8048-4c54-b91f-5fed15f6e034
Yaakov, I.
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e

Kapustin, A., Willett, B. and Yaakov, I. (2020) Tests of Seiberg-like dualities in three dimensions. Journal of High Energy Physics, 2020, [114 (2020)]. (doi:10.1007/JHEP08(2020)114).

Record type: Article

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.

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Tests of Seiberg-like dualities in three dimensions - Accepted Manuscript
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Accepted/In Press date: 23 July 2020
Published date: 2020

Identifiers

Local EPrints ID: 477970
URI: http://eprints.soton.ac.uk/id/eprint/477970
ISSN: 1126-6708
PURE UUID: f68984d8-6cc8-4557-860b-f1982abc32f0
ORCID for I. Yaakov: ORCID iD orcid.org/0000-0002-4924-2970

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Date deposited: 19 Jun 2023 16:34
Last modified: 31 Oct 2023 03:14

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Contributors

Author: A. Kapustin
Author: B. Willett
Author: I. Yaakov ORCID iD

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