Geometric transition in Non-perturbative Topological string

Abstract

We study a geometric transition in non-perturbative topological string. We consider two cases. One is the geometric transition from the closed topological string on the local ${\mathcal{B}}_3$ to the closed topological string on the resolved conifold. The other is the geometric transition from the closed topological string on the local ${\mathcal{B}}_3$ to the open topological string on the resolved conifold with a toric A-brane. We find that, in both cases, the geometric transition can be applied for the non-perturbative topological string. We also find the corrections of the value of Kähler parameters at which the geometric transition occurs.

21 pages, 5 figures, v2: typos are corrected, reference is added, published in Physical Review D

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• Operators and higher genus mirror curves
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