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A one-dimensional theory for Higgs branch operators

Dedushenko, Mykola and Pufu, Silviu S. and Yacoby, Ran (2018) A one-dimensional theory for Higgs branch operators. Journal of High Energy Physics, 2018 (3). Art. No. 138. ISSN 1126-6708. doi:10.1007/JHEP03(2018)138.

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We use supersymmetric localization to calculate correlation functions of half-BPS local operators in 3d N=4 superconformal field theories whose Lagrangian descriptions consist of vectormultiplets coupled to hypermultiplets. The operators we primarily study are certain twisted linear combinations of Higgs branch operators that can be inserted anywhere along a given line. These operators are constructed from the hypermultiplet scalars. They form a one-dimensional non-commutative operator algebra with topological correlation functions. The 2- and 3-point functions of Higgs branch operators in the full 3d N=4 theory can be simply inferred from the 1d topological algebra. After conformally mapping the 3d superconformal field theory from flat space to a round three-sphere, we preform supersymmetric localization using a supercharge that does not belong to any 3d N=2 subalgebra of the N=4 algebra. The result is a simple model that can be used to calculate correlation functions in the 1d topological algebra mentioned above. This model is a 1d Gaussian theory coupled to a matrix model, and it can be viewed as a gauge-fixed version of a topological gauged quantum mechanics. Our results generalize to non-conformal theories on S^3 that contain real mass and Fayet-Iliopolous parameters. We also provide partial results in the 1d topological algebra associated with the Coulomb branch, where we calculate correlation functions of local operators built from the vectormultiplet scalars.

Item Type:Article
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URLURL TypeDescription Paper
Dedushenko, Mykola0000-0002-9273-7602
Pufu, Silviu S.0000-0001-8316-9589
Additional Information:© 2018 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: February 12, 2018; Accepted: March 11, 2018; Published: March 23, 2018. We thank Chris Beem, Cyril Closset, Thomas Dumitrescu, Jaume Gomis, Bruno Le Floch, Wolfger Peelaers, Herman Verlinde, and Edward Witten for useful discussions. The work of SSP was supported in part by the US NSF under Grant No. PHY-1418069, and that of RY by NSF Grant No. PHY-1314198. Work of MD was supported in part by Walter Burke Institute for Theoretical Physics and the U.S. Department of Energy, Office of Science, Office of High Energy Physics, under Award Number DE-SC0011632, as well as Sherman Fairchild foundation.
Group:Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Walter Burke Institute for Theoretical Physics, CaltechUNSPECIFIED
Department of Energy (DOE)DE-SC0011632
Sherman Fairchild FoundationUNSPECIFIED
Subject Keywords:Extended Supersymmetry; Supersymmetric Gauge Theory; Conformal Field Theory
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Issue or Number:3
Record Number:CaltechAUTHORS:20161024-195809339
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Official Citation:Dedushenko, M., Pufu, S.S. & Yacoby, R. J. High Energ. Phys. (2018) 2018: 138.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:71433
Deposited By: Joy Painter
Deposited On:25 Oct 2016 16:49
Last Modified:11 Nov 2021 04:45

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