Non-perturbative effects and the refined topological string
High Energy Physics - Theory
2015-06-16 v1
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.
Cite
@article{arxiv.1306.1734,
title = {Non-perturbative effects and the refined topological string},
author = {Yasuyuki Hatsuda and Marcos Marino and Sanefumi Moriyama and Kazumi Okuyama},
journal= {arXiv preprint arXiv:1306.1734},
year = {2015}
}
Comments
38 pages, 5 figures