Preprint/Internal Report

DESY-2013-01099

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Non-perturbative effects and the refined topological string arXiv

Hatsuda, Y. (Corresponding author)DESY* ; Marino, M. ; Moriyama, S. ; Okuyama, K.

2013

Report No.: DESY-13-096

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. arXiv

Note: *Temporary entry*38 pages, 5 figures

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 514 - Theoretical Particle Physics (POF2-514) (POF2-514)
2. GATIS - Gauge Theory as an Integrable System (317089) (317089)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2013

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