Exact Chern-Simons / Topological String duality
Autor: | Krefl, Daniel, Mkrtchyan, Ruben L. |
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Rok vydání: | 2015 |
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Druh dokumentu: | Working Paper |
Popis: | 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. Comment: 32 pages |
Databáze: | arXiv |
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