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

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

2000-12-27

arxiv.org/abs/hep-th/0012242v3

Mod.Phys.Lett. A16 (2001) 411-428

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, Latex, minor typos corrected, reference added

Scientific paper

10.1142/S0217732301003565

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

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