Theoretical and Mathematical Physics

, Volume 164, Issue 3, pp 1140–1150 | Cite as

Harmonic spheres conjecture

  • A. G. SergeevEmail author


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 G are related to the moduli space of Yang-Mills G-fields on the four-dimensional Euclidean space.


harmonic map Yang-Mills field loop space twistor space 


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Copyright information

© MAIK/Nauka 2010

Authors and Affiliations

  1. 1.Steklov Mathematical InstituteRASMoscowRussia

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