Chiral spectrum of the universal tuned (SU(3) × SU(2) × U(1))/ℤ6 4D F-theory model

Abstract We use the recently developed methods of arXiv:2108.07810 to analyze vertical flux backgrounds and associated chiral matter spectra in the 4D universal (SU(3) × SU(2) × U(1))/ℤ6 model introduced in arXiv:1912.10991, which is believed to describe the mos...

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Main Authors: Jefferson, Patrick, Taylor, Washington, Turner, Andrew P.
Other Authors: Massachusetts Institute of Technology. Department of Physics
Format: Article
Language:English
Published: Springer Berlin Heidelberg 2023
Online Access:https://hdl.handle.net/1721.1/148374
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author Jefferson, Patrick
Taylor, Washington
Turner, Andrew P.
author2 Massachusetts Institute of Technology. Department of Physics
author_facet Massachusetts Institute of Technology. Department of Physics
Jefferson, Patrick
Taylor, Washington
Turner, Andrew P.
author_sort Jefferson, Patrick
collection MIT
description Abstract We use the recently developed methods of arXiv:2108.07810 to analyze vertical flux backgrounds and associated chiral matter spectra in the 4D universal (SU(3) × SU(2) × U(1))/ℤ6 model introduced in arXiv:1912.10991, which is believed to describe the most generic family of F-theory vacua with tuned (SU(3) × SU(2) × U(1))/ℤ6 gauge symmetry. Our analysis focuses on a resolution of a particular presentation of the (SU(3) × SU(2) × U(1))/ℤ6 model in which the elliptic fiber is realized as a cubic in ℙ2 fibered over an arbitrary smooth threefold base. We show that vertical fluxes can produce nonzero multiplicities for all chiral matter families that satisfy 4D anomaly cancellation, which include as a special case the chiral matter families of the Minimal Supersymmetric Standard Model.
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spelling mit-1721.1/1483742024-02-05T19:51:11Z Chiral spectrum of the universal tuned (SU(3) × SU(2) × U(1))/ℤ6 4D F-theory model Jefferson, Patrick Taylor, Washington Turner, Andrew P. Massachusetts Institute of Technology. Department of Physics Massachusetts Institute of Technology. Center for Theoretical Physics Abstract We use the recently developed methods of arXiv:2108.07810 to analyze vertical flux backgrounds and associated chiral matter spectra in the 4D universal (SU(3) × SU(2) × U(1))/ℤ6 model introduced in arXiv:1912.10991, which is believed to describe the most generic family of F-theory vacua with tuned (SU(3) × SU(2) × U(1))/ℤ6 gauge symmetry. Our analysis focuses on a resolution of a particular presentation of the (SU(3) × SU(2) × U(1))/ℤ6 model in which the elliptic fiber is realized as a cubic in ℙ2 fibered over an arbitrary smooth threefold base. We show that vertical fluxes can produce nonzero multiplicities for all chiral matter families that satisfy 4D anomaly cancellation, which include as a special case the chiral matter families of the Minimal Supersymmetric Standard Model. 2023-03-06T18:28:58Z 2023-03-06T18:28:58Z 2023-02-27 2023-03-05T04:08:31Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/148374 Journal of High Energy Physics. 2023 Feb 27;2023(2):254 PUBLISHER_CC en https://doi.org/10.1007/JHEP02(2023)254 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg
spellingShingle Jefferson, Patrick
Taylor, Washington
Turner, Andrew P.
Chiral spectrum of the universal tuned (SU(3) × SU(2) × U(1))/ℤ6 4D F-theory model
title Chiral spectrum of the universal tuned (SU(3) × SU(2) × U(1))/ℤ6 4D F-theory model
title_full Chiral spectrum of the universal tuned (SU(3) × SU(2) × U(1))/ℤ6 4D F-theory model
title_fullStr Chiral spectrum of the universal tuned (SU(3) × SU(2) × U(1))/ℤ6 4D F-theory model
title_full_unstemmed Chiral spectrum of the universal tuned (SU(3) × SU(2) × U(1))/ℤ6 4D F-theory model
title_short Chiral spectrum of the universal tuned (SU(3) × SU(2) × U(1))/ℤ6 4D F-theory model
title_sort chiral spectrum of the universal tuned su 3 su 2 u 1 z6 4d f theory model
url https://hdl.handle.net/1721.1/148374
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