Mellin–Barnes Representation of the Topological String

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 23 Aug 2016Embargo end date: 01 Jan 2015 English Publisher:Springer Science and Business Media LLCJournal:Letters in Mathematical Physics, volume 106, pages 1,561-1,574 (issn: 0377-9017, eissn: 1573-0530,

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Authors: Krefl, Daniel;

doi: 10.1007/s11005-016-0882-2 , 10.48550/arxiv.1508.04219

arXiv: 1508.04219

Mellin–Barnes Representation of the Topological String

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Abstract

We invoke integrals of Mellin-Barnes type to analytically continue the Gopakumar-Vafa resummation of the topological string free energy in the string coupling constant, leading to additional non-perturbative terms. We also discuss in a similar manner the refined and Nekrasov-Shatashvili limit version thereof. The derivation is straight-forward and essentially boils down to taking residue. This allows us to confirm some related conjectures in the literature at tree-level.

16 pages

Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Chern-Simons theory, non-perturbative completion, FOS: Physical sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, Topological field theories in quantum mechanics, topological strings

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