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Non-perturbative effects and the refined topological string

Moriyama, Sanefumi
Okuyama, Kazumi
Published in Journal of High Energy Physics. 2014, vol. 1409, p. 168-210
Collection Open Access - SCOAP3
Abstract 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  × ℙ 1 , in the NekrasovShatashvili 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.
Keywords AdS-CFT CorrespondenceTopological StringsM-Theory
arXiv: 1306.1734
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HATSUDA, Yasuyuki et al. Non-perturbative effects and the refined topological string. In: Journal of High Energy Physics, 2014, vol. 1409, p. 168-210. https://archive-ouverte.unige.ch/unige:55775

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Deposited on : 2015-04-27

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