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

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

2001-09-20

arxiv.org/abs/hep-th/0109159v3

JHEP 0112:002,2001

Physics

High Energy Physics

High Energy Physics - Theory

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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