An Approach to $\mathcal{N}=4$ ADE Gauge Theory on K3

Abstract

We propose a recipe for determination of the partition function of $\mathcal{N}=4$ $ADE$ gauge theory on $K3$ by generalizing our previous results of the SU(N) case. The resulting partition function satisfies Montonen-Olive duality for $ADE$ gauge group.

28 pages, Latex, enlarged published version

References in corpus (7)

• 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
• Seiberg-Witten Curve for the E-String Theory
• The Vafa-Witten Theory for Gauge Group SU(N)
• {\cal N}=4 Supersymmetric Yang-Mills Theory on Orbifold-$T^4/{\mathbf{Z}}_2$: Higher Rank Case
• N=4 Supersymmetric Yang-Mills Theory on Orbifold-$T^4/{\mathbf{Z}}_2$
• The geometry of the M5-branes and TQFTs

Cited by in corpus (3)

• A Combinatorial Study on Quiver Varieties
• $S$-duality in Vafa-Witten theory for non-simply laced gauge groups
• Hecke Operator and S-Duality of N=4 Super Yang-Mills for ADE Gauge Group on K3