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arXiv · 1505.07460

Resummations and Non-Perturbative Corrections

Yasuyuki Hatsuda·Kazumi Okuyama
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Abstract

We consider a generalization of the Borel resummation, which turns out to be equivalent to the standard Borel resummation. We apply it to the simplest large N duality between the pure Chern-Simons theory and the topological string on the resolved conifold, and find a simple integral formula for the free energy. Expanding this integral representation around the large radius point at finite string coupling gs, we find that it includes not only the M-theoretic resummation a la Gopakumar and Vafa, but also a non-perturbative correction in gs. Remarkably, the obtained non-perturbative correction is in perfect agreement with a proposal for membrane instanton corrections in arXiv:1306.1734. Various other examples are also presented.

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Yasuyuki Hatsuda, Kazumi Okuyama. 2015-05-27. Resummations and Non-Perturbative Corrections. https://arxiv.org/abs/1505.07460

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