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

Abstract

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 Göttche formula of singular quotient space $T^4/{\mathbf{Z}}_2$ and of blow-up formulas including A_{N-1} theta series with level N.

19 pages, Latex, enlarged published version

References in corpus (5)

• The elliptic curve in the S-duality theory and Eisenstein series for Kac-Moody groups
• Irreducibility of moduli spaces of vector bundles on K3 surfaces
• The Vafa-Witten Theory for Gauge Group SU(N)
• N=4 Supersymmetric Yang-Mills Theory on Orbifold-$T^4/{\mathbf{Z}}_2$
• Euler number of Instanton Moduli space and Seiberg-Witten invariants

Cited by in corpus (7)

• Theory of Neutrinos: A White Paper
• TeV physics and the Planck scale
• Comments on Half S-Branes
• $S$-duality in Vafa-Witten theory for non-simply laced gauge groups
• New Results on N=4 SuperYang-Mills Theory
• An Approach to $\mathcal{N}=4$ ADE Gauge Theory on K3
• Hecke Operator and S-Duality of N=4 Super Yang-Mills for ADE Gauge Group on K3