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arXiv · 1508.04219

Mellin-Barnes Representation of the Topological String

Daniel Krefl
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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.

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Daniel Krefl. 2015-08-18. Mellin-Barnes Representation of the Topological String. https://doi.org/10.1007/s11005-016-0882-2

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