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N=4 Supersymmetric Yang-Mills Theory on a Kaehler Surface

Robbert Dijkgraaf·Jae-Suk Park·Bernd Schroers
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Abstract

We study N=4 supersymmetric Yang-Mills theory on a Kaehler manifold with $b_2^+ \geq 3$. Adding suitable perturbations we show that the partition function of the N=4 theory is the sum of contributions from two branches: (i) instantons, (ii) a special class of Seiberg-Witten monopoles. We determine the partition function for the theories with gauge group SU(2) and SO(3), using S-duality. This leads us to a formula for the Euler characteristic of the moduli space of instantons.

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Robbert Dijkgraaf, Jae-Suk Park, Bernd Schroers. 1999-02-23. N=4 Supersymmetric Yang-Mills Theory on a Kaehler Surface. https://arxiv.org/abs/hep-th/9801066

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