All Loop Topological String Amplitudes From Chern-Simons Theory
High Energy Physics - Theory
2015-06-26 v1 Algebraic Geometry
Geometric Topology
Abstract
We demonstrate the equivalence of all loop closed topological string amplitudes on toric local Calabi-Yau threefolds with computations of certain knot invariants for Chern-Simons theory. We use this equivalence to compute the topological string amplitudes in certain cases to very high degree and to all genera. In particular we explicitly compute the topological string amplitudes for P2 up to degree 12 and P1 x P1 up to total degree 10 to all genera. This also leads to certain novel large N dualities in the context of ordinary superstrings, involving duals of type II superstrings on local Calabi-Yau three-folds without any fluxes.
Cite
@article{arxiv.hep-th/0206164,
title = {All Loop Topological String Amplitudes From Chern-Simons Theory},
author = {Mina Aganagic and Marcos Marino and Cumrun Vafa},
journal= {arXiv preprint arXiv:hep-th/0206164},
year = {2015}
}
Comments
62 pages, 15 figures, harvmac