Exact Chern-Simons / Topological String duality

被引：0
作者：
Daniel Krefl
Ruben L. Mkrtchyan
机构：
[1] Seoul National University,Center for Theoretical Physics
[2] Yerevan Physics Institute,Theory Division
来源：
Journal of High Energy Physics | / 2015卷
关键词：
Chern-Simons Theories; 1/N Expansion; Topological Strings;
D O I：
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中图分类号：
学科分类号：
摘要：
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. 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 extended to refined Chern-Simons with orthogonal groups.
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