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@ARTICLE{Hatsuda:154786,
      author       = {Hatsuda, Yasuyuki and Marino, Marcos and Moriyama, Sanefumi
                      and Okuyama, Kazumi},
      title        = {{N}on-perturbative effects and the refined topological
                      string ar{X}iv},
      reportid     = {DESY-2013-01099, DESY-13-096},
      year         = {2013},
      note         = {*Temporary entry*38 pages, 5 figures},
      abstract     = {The partition function of ABJM theory on the three-sphere
                      has non-perturbative 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 P1xP1, 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. arXiv},
      cin          = {T},
      cid          = {I:(DE-H253)T-20120731},
      pnm          = {514 - Theoretical Particle Physics (POF2-514) / GATIS -
                      Gauge Theory as an Integrable System (317089)},
      pid          = {G:(DE-HGF)POF2-514 / G:(EU-Grant)317089},
      experiment   = {EXP:(DE-MLZ)NOSPEC-20140101},
      typ          = {PUB:(DE-HGF)25 / PUB:(DE-HGF)15},
      url          = {https://bib-pubdb1.desy.de/record/154786},
}