Affine Lie Algebras and S-Duality of N=4 Super Yang-Mills Theory for ADE Gauge Groups on K3
Toru Sasaki
Abstract
We attempt to determine the partition function of N=4 super Yang-Mills theory for ADE gauge groups on K3 and investigate the relation with affine Lie algebras. In particular we describe eta functions, which compose SU(N) partition function, by level N AN-1 theta functions. Moreover we find D,E theta functions, which satisfy the Montonen-Olive duality for D,E partition functions.
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