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

Yuji Tachikawa (Univ. of Tokyo)

arxiv: hep-th/0401184 · v1 · submitted 2004-01-25 · ✦ hep-th

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

Yuji Tachikawa (Univ. of Tokyo) This is my paper

classification ✦ hep-th

keywords five-dimensionalchern-simonsnekrasova-modelallowscalabi-yaucalculationcase

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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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