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Journal of High Energy Physics

, 2014:168

First Online: 29 September 2014Received: 18 July 2014Accepted: 31 August 2014 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 × ℙ, 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.

KeywordsAdS-CFT Correspondence Topological Strings M-Theory ArXiv ePrint: 1306.1734

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Author: Yasuyuki Hatsuda - Marcos Mariño - Sanefumi Moriyama - Kazumi Okuyama


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