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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 164, Number 3, Pages 368–379
DOI: https://doi.org/10.4213/tmf6546 (Mi tmf6546) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Harmonic spheres conjecture

A. G. Sergeev

Steklov Mathematical Institute, RAS, Moscow, Russia
Full-text PDF (407 kB) Citations (4)
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DOI: https://doi.org/10.4213/tmf6546
Abstract: We discuss the harmonic spheres conjecture that the space of harmonic maps of the Riemann sphere into the loop space of a compact Lie group GG are related to the moduli space of Yang–Mills GG-fields on the four-dimensional Euclidean space.
Keywords: harmonic map, Yang–Mills field, loop space, twistor space.
English version:
Theoretical and Mathematical Physics, 2010, Volume 164, Issue 3, Pages 1140–1150
DOI: https://doi.org/10.1007/s11232-010-0092-5
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. G. Sergeev, “Harmonic spheres conjecture”, TMF, 164:3 (2010), 368–379; Theoret. and Math. Phys., 164:3 (2010), 1140–1150
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6546
  • https://doi.org/10.4213/tmf6546
  • https://www.mathnet.ru/eng/tmf/v164/i3/p368
    • This publication is cited in the following 4 articles:
    1. Boris O. Volkov, “Lévy Laplacians, Holonomy Group and Instantons on 4-Manifolds”, Potential Anal., 59 (2023), 1381–1397  mathnet  crossref  scopus
    2. Armen G. Sergeev, “Adiabatic limit in Yang–Mills equations in R4”, Zhurn. SFU. Ser. Matem. i fiz., 12:4 (2019), 449–454  mathnet  crossref  mathscinet
    3. A. G. Sergeev, “Twistor geometry and gauge fields”, Trans. Moscow Math. Soc., 2018, 135–175  mathnet  crossref  mathscinet  elib
    4. A. G. Sergeev, “Twistor interpretation of harmonic spheres and Yang–Mills fields”, Mathematics, 3:1 (2015), 47–75  mathnet  crossref  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Full-text PDF :275
    References:79
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