Instanton Counting and Matrix Model(Particles and Fields)

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概要

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• We construct an Imbimbo-Mukhi type matrix model, which reproduces exactly the partition function of CP^1 topological strings in the small phase space, Nekrasov's instanton counting in N=2 gauge theory and the large N limit of the partition function in 2-dimensional Yang-Mills theory on a sphere. In addition, we propose a dual Stieltjes-Wigert type matrix model, which emerges when all-genus topological string amplitudes on certain simple toric Calabi-Yau manifolds are compared with the Imbimbo-Mukhi type model.

• 理論物理学刊行会の論文
• 2008-01-25

著者

• Tai Ta-sheng

  Department Of Physics University Of Tokyo

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