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The Topological Open String Wavefunction

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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 vacuum expectation values of 1/2 BPS Wilson loops in ABJM theory at all genera in a strong coupling expansion, for various representations.

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Authors and Affiliations

  1. Section de Mathématiques, Département de Physique Théorique, Université de Genève, Geneva, 1211, Switzerland

    Alba Grassi, Johan Källén & Marcos Mariño

Authors
  1. Alba Grassi
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  2. Johan Källén
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  3. Marcos Mariño
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Correspondence to Alba Grassi.

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Communicated by H.-T. Yau

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Grassi, A., Källén, J. & Mariño, M. The Topological Open String Wavefunction. Commun. Math. Phys. 338, 533–561 (2015). https://doi.org/10.1007/s00220-015-2387-8

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