The Vafa-Witten Theory for Gauge Group SU(N)

Abstract

We derive the partition function for the Vafa-Witten twist of the $\mathcal{N}=4$ supersymmetric gauge theory with gauge group SU(N) (for prime $N$) and arbitrary values of the 't Hooft fluxes $v\in H^2(X,{\mathbb{Z}}_N)$ on Kähler four-manifolds with $b_2^{+}>1$.

24 pages, latex, amsmath package

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