A note on instanton counting for N=2 gauge theories with classical gauge groups

Marcos Marino; Niclas Wyllard

A note on instanton counting for N=2 gauge theories with classical gauge groups

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arxiv hep-th/0404125 v3 pith:O5UZHIGI submitted 2004-04-19 hep-th math.AG

Marcos Marino , Niclas Wyllard This is my paper · ORCID

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keywords theoriesgaugeinstantonmatterprepotentialcountingdiscusswithout

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We study the prepotential of N=2 gauge theories using the instanton counting techniques introduced by Nekrasov. For the SO theories without matter we find a closed expression for the full prepotential and its string theory gravitational corrections. For the more subtle case of Sp theories without matter we discuss general features and compute the prepotential up to instanton number three. We also briefly discuss SU theories with matter in the symmetric and antisymmetric representations. We check all our results against the predictions of the corresponding Seiberg-Witten geometries.

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Instantons from Blow-up
hep-th 2019-08 conditional novelty 7.0 of 10

The instanton partition function of many 4d N=2 and 5d N=1 gauge theories is fully determined by the perturbative part via generalized Nakajima-Yoshioka blowup equations.

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