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.
Kapustin, A.
7b3c32cb-d169-4bd7-9aac-5309f2d4cb8c
Willett, B.
7a3f0b70-8048-4c54-b91f-5fed15f6e034
Yaakov, I.
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e
2020
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).
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
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Accepted/In Press date: 23 July 2020
Published date: 2020
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Local EPrints ID: 477970
URI: http://eprints.soton.ac.uk/id/eprint/477970
ISSN: 1126-6708
PURE UUID: f68984d8-6cc8-4557-860b-f1982abc32f0
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Date deposited: 19 Jun 2023 16:34
Last modified: 17 Mar 2024 04:17
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Author:
A. Kapustin
Author:
B. Willett
Author:
I. Yaakov
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