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 ℙ1 × ℙ1, 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.
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Hatsuda, Y., Mariño, M., Moriyama, S. et al. Non-perturbative effects and the refined topological string. J. High Energ. Phys. 2014, 168 (2014). https://doi.org/10.1007/JHEP09(2014)168
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DOI: https://doi.org/10.1007/JHEP09(2014)168