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Harmonic maps into loop spaces of compact Lie groups

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We study harmonic maps from Riemann surfaces M to the loop spaces ΩG of compact Lie groups G, using the twistor approach. Harmonic maps into loop spaces are of special interest because of their relation to the Yang-Mills equations on ℝ4.

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Authors and Affiliations

  1. Steklov Mathematical Institute, Moscow, Russia

    A. G. Sergeev

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  1. A. G. Sergeev
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Correspondence to A. G. Sergeev.

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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 16, Differential and Functional Differential Equations. Part 2, 2006.

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Sergeev, A.G. Harmonic maps into loop spaces of compact Lie groups. J Math Sci 149, 1608–1617 (2008). https://doi.org/10.1007/s10958-008-0084-2

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