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Standard model gauge fields localized on non-Abelian vortices in six dimensions

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19630%2F21%3AA0000139" target="_blank" >RIV/47813059:19630/21:A0000139 - isvavai.cz</a>

  • Alternative codes found

    RIV/68407700:21670/21:00355193

  • Result on the web

    <a href="https://academic.oup.com/ptep/article/2021/12/123B07/6415217" target="_blank" >https://academic.oup.com/ptep/article/2021/12/123B07/6415217</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1093/ptep/ptab144" target="_blank" >10.1093/ptep/ptab144</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Standard model gauge fields localized on non-Abelian vortices in six dimensions

  • Original language description

    A brane-world SU(5) grand unified theory model with global non-Abelian vortices is constructed in six-dimensional spacetime. We find a solution with a vortex associated to SU(3) separated from another vortex associated to SU(2). This 3-2 split configuration achieves a geometric Higgs mechanism for SU(5) -&gt; SU(3) x SU(2) x U(1) symmetry breaking. A simple deformation potential induces a domain wall between non-Abelian vortices, leading to a linear confining potential. The confinement stabilizes the vortex separation moduli, and ensures the vorticities of the SU(3) and SU(2) groups are identical. This dictates the equality of the numbers of fermion zero modes in the fundamental representation of SU(3) (quarks) and SU(2) (leptons), leading to quark/lepton generations. The standard model massless gauge fields arc localized on the non-Abelian vortices thanks to a field-dependent gauge kinetic function. We perform fluctuation analysis with an appropriate gauge fixing and obtain a four-dimensional effective Lagrangian of unbroken and broken gauge fields at quadratic order. We find that SU(3) x SU(2) x U(1) gauge fields are localized on the vortices and exactly massless. Complications in analyzing the spectra of gauge fields with the nontrivial gauge kinetic function are neatly worked out by a vector-analysis-like method.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10300 - Physical sciences

Result continuities

  • Project

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2021

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Progress of Theoretical and Experimental Physics

  • ISSN

    2050-3911

  • e-ISSN

  • Volume of the periodical

    2021

  • Issue of the periodical within the volume

    12

  • Country of publishing house

    US - UNITED STATES

  • Number of pages

    32

  • Pages from-to

    „123B07-1“-„123B07-32“

  • UT code for WoS article

    000745946100017

  • EID of the result in the Scopus database