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arXiv · 1304.6097

The topological open string wavefunction

Alba Grassi·Johan Kallen·Marcos Marino
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Abstract

We show that, in local Calabi-Yau manifolds, the topological open string partition function transforms as a wavefunction under modular transformations. Our derivation is based on the topological recursion for matrix models, and it generalizes in a natural way the known result for the closed topological string sector. As an application, we derive results for vevs of 1/2 BPS Wilson loops in ABJM theory at all genera in a strong coupling expansion, for various representations.

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Alba Grassi, Johan Kallen, Marcos Marino. 2013-04-22. The topological open string wavefunction. https://arxiv.org/abs/1304.6097

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