N=4 Supersymmetric Yang-Mills Theory on Orbifold-$T^4/{\mathbf{Z}}_2$

Abstract

We derive the partition function of N=4 supersymmetric Yang-Mills theory on orbifold-$T^4/{\mathbf{Z}}_2$. In classical geometry, K3 surface is constructed from the orbifold-$T^4/{\mathbf{Z}}_2$. Along the same way as the orbifold construction, we construct the partition function of K3 surface from orbifold-$T^4/{\mathbf{Z}}_2$. The partition function is given by the product of the contribution of the untwisted sector of $T^4/{\mathbf{Z}}_2$, and that of the twisted sector of $T^4/{\mathbf{Z}}_2$ i.e., $\mathcal{O}(-2)$ curve blow-up formula.

19 pages, Latex, minor typos corrected, reference added

References in corpus (1)

• Euler number of Instanton Moduli space and Seiberg-Witten invariants

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• New Results on N=4 SuperYang-Mills Theory
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• Hecke Operator and S-Duality of N=4 Super Yang-Mills for ADE Gauge Group on K3
• Gap Condition and Self-Dualized $\mathcal{N}=4$ Super Yang-Mills Theory for ADE Gauge Group on K3