Symmetry, Integrability and Geometry: Methods and Applications
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



SIGMA:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Symmetry, Integrability and Geometry: Methods and Applications, 2023, Volume 19, 071, 30 pp.
DOI: https://doi.org/10.3842/SIGMA.2023.071
(Mi sigma1966)
 

Geometry of Gauged Skyrmions

Josh Corka, Derek Harlandb

a School of Computing and Mathematical Sciences, University of Leicester, University Road, Leicester, UK
b School of Mathematics, University of Leeds, Woodhouse Lane, Leeds, UK
References:
Abstract: A work of Manton showed how skymions may be viewed as maps between riemannian manifolds minimising an energy functional, with topologically non-trivial global minimisers given precisely by isometries. We consider a generalisation of this energy functional to gauged skyrmions, valid for a broad class of space and target $3$-manifolds where the target is equipped with an isometric $G$-action. We show that the energy is bounded below by an equivariant version of the degree of a map, describe the associated BPS equations, and discuss and classify solutions in the cases where $G=\mathrm{U}(1)$ and $G=\mathrm{SU}(2)$.
Keywords: skyrmions, topological solitons, BPS equations.
Received: March 12, 2023; in final form September 14, 2023; Published online October 1, 2023
Document Type: Article
MSC: 53C07, 70S15, 53C43
Language: English
Citation: Josh Cork, Derek Harland, “Geometry of Gauged Skyrmions”, SIGMA, 19 (2023), 071, 30 pp.
Citation in format AMSBIB
\Bibitem{CorHar23}
\by Josh~Cork, Derek~Harland
\paper Geometry of Gauged Skyrmions
\jour SIGMA
\yr 2023
\vol 19
\papernumber 071
\totalpages 30
\mathnet{http://mi.mathnet.ru/sigma1966}
\crossref{https://doi.org/10.3842/SIGMA.2023.071}
Linking options:
  • https://www.mathnet.ru/eng/sigma1966
  • https://www.mathnet.ru/eng/sigma/v19/p71
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Symmetry, Integrability and Geometry: Methods and Applications
    Statistics & downloads:
    Abstract page:49
    Full-text PDF :10
    References:13
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024