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

Five-dimensional Chern-Simons terms and Nekrasov's instanton counting
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DOI:
10.1088/1126-6708/2004/02/050
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发表时间:
2004-01
影响因子:
5.4
通讯作者:
Yuji Tachikawa
Yuji Tachikawa
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Yuji Tachikawa

文献摘要

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通过引入5D Chern-Simons项的影响,我们推广了Nekrasov提出的5D纯U(N)超Yang-Mills的重力光子修正前势.这种推广使我们能够通过规范理论计算再现局部复曲面Calabi-Yau流形XmN上相应拓扑A模型的配分函数,其中m = 0,1,. N.最初的建议对应于m = 0的情况。
We extend the graviphoton-corrected prepotential of 5D pure U(N) super Yang-Mills, which was originally proposed by Nekrasov, by incorporating the effect of the 5D 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 XmN for all m = 0,1,...,N. The original proposal corresponds to the case m = 0.