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arXiv · 1506.03907

Exact Chern-Simons / Topological String duality

Daniel Krefl·Ruben L. Mkrtchyan
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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.

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Daniel Krefl, Ruben L. Mkrtchyan. 2015-06-12. Exact Chern-Simons / Topological String duality. https://arxiv.org/abs/1506.03907

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