# {\cal N}=4 Supersymmetric Yang-Mills Theory on Orbifold-$T^4/{\bf Z}_2$: Higher Rank Case

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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## Details {\cal N}=4 Supersymmetric Yang-Mills Theory on Orbifold-$T^4/{\bf Z}_2$: Higher Rank Case {\cal N}=4 Supersymmetric Yang-Mills Theory on Orbifold-$T^4/{\bf Z}_2$: Higher Rank Case

19 pages, Latex, enlarged published version

Scientific paper

10.1088/1126-6708/2001/12/002

We derive the partition function of {\cal N}=4 supersymmetric Yang-Mills theory on orbifold-T^4/{\bf Z}_2 for gauge group SU(N). We generalize the method of our previous work for the SU(2) case to the SU(N) case. The resulting partition function is represented as the sum of the product of G\"ottche formula of singular quotient space $T^4/{\bf Z}_2$ and of blow-up formulas including A_{N-1} theta series with level N.

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