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.
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