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arXiv · hep-th/0401184

Five-dimensional Chern-Simons terms and Nekrasov's instanton counting

Yuji Tachikawa
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Abstract

We extend the graviphoton-corrected prepotential of five-dimensional pure U(N) super Yang-Mills, which was originally proposed by Nekrasov, by incorporating the effect of the five-dimensional Chern-Simons term. This extension allows us to reproduce by a gauge theory calculation the partition functions of corresponding topological A-model on local toric Calabi-Yau manifolds X^m_N for all m=0,1,...,N. The original proposal corresponds to the case m=0.

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Yuji Tachikawa. 2004-01-25. Five-dimensional Chern-Simons terms and Nekrasov's instanton counting. https://doi.org/10.1088/1126-6708%2F2004%2F02%2F050

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