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The Topological Open String Wavefunction

Grassi, Alba ; Källén, Johan ; Mariño, Marcos

In: Communications in Mathematical Physics, 2015, vol. 338, no. 2, p. 533-561

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    Titre
    • The Topological Open String Wavefunction
    Auteur
    • Grassi, Alba. Section de Mathématiques, Département de Physique Théorique, Université de Genève, 1211, Geneva, Switzerland
    • Källén, Johan. Section de Mathématiques, Département de Physique Théorique, Université de Genève, 1211, Geneva, Switzerland
    • Mariño, Marcos. Section de Mathématiques, Département de Physique Théorique, Université de Genève, 1211, Geneva, Switzerland
    Type de document
    • Postprint
    Langue
    • Anglais
    Publié dans
    • Communications in Mathematical Physics, 2015, vol. 338, no. 2, p. 533-561. Springer Berlin Heidelberg
    Autre version électronique
    Classification
    • Mathématiques
    Identifiant OAI-PMH
    • oai:doc.rero.ch:330938
    Summary
    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.