Asymptotic Form of Gopakumar-Vafa Invariants from Instanton Counting

Details Asymptotic Form of Gopakumar-Vafa Invariants from Instanton Counting Asymptotic Form of Gopakumar-Vafa Invariants from Instanton Counting

2003-11-23

arxiv.org/abs/hep-th/0311220v2

Nucl.Phys. B682 (2004) 465-483

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 2 figures; (v2) typos corrected

Scientific paper

10.1016/j.nuclphysb.2004.01.021

We study the asymptotic form of the Gopakumar-Vafa invariants at all genera for Calabi-Yau toric threefolds which have the structure of fibration of the A_n singularity over P^1. We claim that the asymptotic form is the inverse Laplace transform of the corresponding instanton amplitude in the prepotential of N=2 SU(n+1) gauge theory coupled to external graviphoton fields, which is given by the logarithm of the Nekrasov's partition function.

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