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arXiv · hep-th/0303121

Hecke Operator and S-Duality of N=4 Super Yang-Mills for ADE Gauge Group on K3

Toru Sasaki
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Abstract

We determine the partition functions of ${\cal N}=4$ 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 ${\cal N}=4$ super Yang-Mills for $ADE$ gauge group on $K3$.

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Toru Sasaki. 2003-07-14. Hecke Operator and S-Duality of N=4 Super Yang-Mills for ADE Gauge Group on K3. https://doi.org/10.1088/1126-6708%2F2003%2F07%2F024

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