M ar 2 00 3 Hecke Operator and S - Duality of N = 4 Super Yang - Millsfor ADE
نویسنده
چکیده
We determine N = 4 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.
منابع مشابه
Hecke Operator and S-duality of N = 4 Ade Gauge Theory on K3
We determine N = 4 partition functions on K3 for some ADE gauge groups, on 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 reveal a close relation between Hecke operator and S-duality of N = 4 ADE gauge theory on K3.
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