@article{oai:soar-ir.repo.nii.ac.jp:00018265,
 author = {Hatsuda,  Yasuyuki and Marino,  Marcos and Moriyama,  Sanefumi and Okuyama,  Kazumi},
 issue = {9},
 journal = {JOURNAL OF HIGH ENERGY PHYSICS},
 month = {Sep},
 note = {The partition function of ABJM theory on the three-sphere has nonperturbative corrections due to membrane instantons in the M-theory dual. We show that the full series of membrane instanton corrections is completely determined by the refined topological string on the Calabi-Yau manifold known as local P-1 x P-1, in the Nekrasov-Shatashvili limit. Our result can be interpreted as a first-principles derivation of the full series of non-perturbative effects for the closed topological string on this Calabi-Yau background. Based on this, we make a proposal for the non-perturbative free energy of topological strings on general, local Calabi-Yau manifolds., Article, JOURNAL OF HIGH ENERGY PHYSICS. 2014(9):168 (2014)},
 title = {Non-perturbative effects and the refined topological string},
 volume = {2014},
 year = {2014}
}