English

The topological open string wavefunction

High Energy Physics - Theory 2015-03-03 v2

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.

Keywords

Cite

@article{arxiv.1304.6097,
  title  = {The topological open string wavefunction},
  author = {Alba Grassi and Johan Kallen and Marcos Marino},
  journal= {arXiv preprint arXiv:1304.6097},
  year   = {2015}
}

Comments

30 pages, 4 figures; v2: misprints corrected

R2 v1 2026-06-22T00:04:27.501Z