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arXiv · 0709.0432

Instanton Counting and Matrix Model

Ta-Sheng Tai
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Abstract

We construct an Imbimbo-Mukhi type matrix model, which reproduces exactly the partition function of ${\mathbb{CP}^1}$ topological strings in the small phase space, Nekrasov's instanton counting in ${\cal{N}}=2$ 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.

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Ta-Sheng Tai. 2007-09-07. Instanton Counting and Matrix Model. https://doi.org/10.1143/ptp.119.165

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