Exact Chern-Simons / Topological String duality
High Energy Physics - Theory
2015-06-15 v1
Abstract
We invoke universal Chern-Simons theory to analytically calculate the exact free energy of the refined topological string on the resolved conifold. In the unrefined limit we reproduce non-perturbative corrections for the resolved conifold found elsewhere in the literature, thereby providing strong evidence that the Chern-Simons / topological string duality is exact, and in particular holds at arbitrary N as well. In the refined case, the non-perturbative corrections we find are novel and appear to be non-trivial. We show that non-perturbatively special treatment is needed for rational valued deformation parameter. Above results are also extend to refined Chern-Simons with orthogonal groups.
Cite
@article{arxiv.1506.03907,
title = {Exact Chern-Simons / Topological String duality},
author = {Daniel Krefl and Ruben L. Mkrtchyan},
journal= {arXiv preprint arXiv:1506.03907},
year = {2015}
}
Comments
32 pages