N= 2 dualities and Z-extremization in three dimensions
N= 2 dualities and Z-extremization in three dimensions
We use localization techniques to study duality in 𝒩 = 2 supersymmetric gauge theories in three dimensions. Specifically, we consider a duality due to Aharony involving unitary and symplectic gauge groups, which is similar to Seiberg duality in four dimensions, as well as related dualities involving Chern-Simons terms. These theories have the possibility of non trivial anomalous dimensions for the chiral multiplets and were previously difficult to examine. We use a matrix model to compute the partition functions on both sides of the duality, deformed by real mass and FI terms. The results provide strong evidence for the validity of the proposed dualities. We also comment on a recent proposal for recovering the exact IR conformal dimensions in such theories using localization.
Willett, Brian
7a3f0b70-8048-4c54-b91f-5fed15f6e034
Yaakov, I.
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e
21 October 2020
Willett, Brian
7a3f0b70-8048-4c54-b91f-5fed15f6e034
Yaakov, I.
5b9fd2e5-4b8a-4ee0-9b9e-ee38930a951e
Willett, Brian and Yaakov, I.
(2020)
N= 2 dualities and Z-extremization in three dimensions.
Journal of High Energy Physics, 2020 (10), [136].
(doi:10.1007/JHEP10(2020)136).
Abstract
We use localization techniques to study duality in 𝒩 = 2 supersymmetric gauge theories in three dimensions. Specifically, we consider a duality due to Aharony involving unitary and symplectic gauge groups, which is similar to Seiberg duality in four dimensions, as well as related dualities involving Chern-Simons terms. These theories have the possibility of non trivial anomalous dimensions for the chiral multiplets and were previously difficult to examine. We use a matrix model to compute the partition functions on both sides of the duality, deformed by real mass and FI terms. The results provide strong evidence for the validity of the proposed dualities. We also comment on a recent proposal for recovering the exact IR conformal dimensions in such theories using localization.
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N= 2 dualities and Z-extremization in three dimensions
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Accepted/In Press date: 24 September 2020
Published date: 21 October 2020
Identifiers
Local EPrints ID: 474532
URI: http://eprints.soton.ac.uk/id/eprint/474532
ISSN: 1126-6708
PURE UUID: ddcbab2e-2c55-4a13-8d33-c0796954c619
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Date deposited: 23 Feb 2023 17:58
Last modified: 17 Mar 2024 04:17
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Author:
Brian Willett
Author:
I. Yaakov
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