2013/06/07 by Yasuyuki Hatsuda, Marcos Marino, Sanefumi Moriyama +1 · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep09(2014)168
38 pages, 5 figures
arxiv created 2013/06/07 · arxiv updated 2015/06/16
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.