Science in China Series A: Mathematics

, Volume 51, Issue 4, pp 695–706 | Cite as

Harmonic maps into loop spaces of compact Lie groups

  • Armen Glebovich Sergeev


We study harmonic maps from Riemann surfaces M to the loop spaces ΩG of compact Lie groups G, using the twistor approach. We conjecture that harmonic maps of the Riemann sphere ℂℙ1 into ΩG are related to Yang-Mills G-fields on ℝ4.


harmonic maps Yang-Mills fields twistor bundles 


58E20 53C28 32L25 


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Copyright information

© Science Press 2008

Authors and Affiliations

  1. 1.Steklov Mathematical InstituteRussian Academy of SciencesMoscowRussia

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