@article{oai:soar-ir.repo.nii.ac.jp:00017943,
 author = {Hatsuda,  Yasuyuki and Okuyama,  Kazumi},
 issue = {9},
 journal = {JOURNAL OF HIGH ENERGY PHYSICS},
 month = {Sep},
 note = {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 obtain a simple integral formula for the free energy. Expanding this integral representation around the large radius point at finite string coupling g s , we find that it includes not only the M-theoretic resummation à la Gopakumar and Vafa, but also a non-perturbative correction in g s . 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., Article, JOURNAL OF HIGH ENERGY PHYSICS. (9):051 (2015)},
 title = {Resummations and non-perturbative corrections},
 year = {2015}
}