The topological open string wavefunction

2013/04/22 by Alba Grassi, Johan Källén, Grassi, Alba +3 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1304.6097

openalex publication_date 2013/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Local Mirror Symmetry at Higher Genus
• Chern-Simons theory and topological strings

Cited by

• Large N non-perturbative effects in N=4 superconformal Chern-Simons theories

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