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[en] We determine the partition functions of N = 4 super Yang-Mills gauge theory for some ADE gauge groups on K3, under the assumption that they are holomorphic. Our partition functions satisfy the gap condition and Montonen-Olive duality at the same time, like the SU(N) partition functions of Vafa and Witten. As a result we find a close relation between Hecke operator and S-duality of N = 4 super Yang-Mills for ADE gauge group on K3. (author)
Journal
Journal of High Energy Physics; ISSN 1126-6708; 
; v. 07(2003); p. vp
; v. 07(2003); p. vp