Harmonic maps into loop spaces eliminate of compact Lie groups  

作　　者：Armen Glebovich SERGEEV 

机构地区：[1]Steklov Mathematical Institute

出　　处：《Science China Mathematics》2008年第4期695-706,共12页中国科学：数学（英文版）

基　　金：This work was partly supported by the RFBR(Grant Nos.04-01-00236,06-02-04012);by the program of Support of Scientific Schools(Grant No.1542.2003.1);by the Scientific Program of RAS"Nonlinear Dynamics"

摘　　要：We study harmonic maps from Riemann surfaces M to the loop spacesΩG of compact Lie groups G,using the twistor approach.We conjecture that harmonic maps of the Riemann sphere CP^1 intoΩG are related to Yang-Mills G-fields on R^4.We study harmonic maps from Riemann surfaces M to the loop spacesΩG of compact Lie groups G,using the twistor approach.We conjecture that harmonic maps of the Riemann sphere CP^1 intoΩG are related to Yang-Mills G-fields on R^4.

关 键 词：HARMONIC MAPS YANG-MILLS FIELDS twistor BUNDLES 

分 类 号：O152[理学—数学]