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arXiv · 1306.1734

Non-perturbative effects and the refined topological string

Yasuyuki Hatsuda·Marcos Marino·Sanefumi Moriyama·Kazumi Okuyama
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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.

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Yasuyuki Hatsuda, Marcos Marino, Sanefumi Moriyama, Kazumi Okuyama. 2013-06-07. Non-perturbative effects and the refined topological string. https://doi.org/10.1007/jhep09(2014)168

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