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S-duality resurgence in SL(2) Chern-Simons theory

High Energy Physics - Theory 2018-08-01 v1 Mathematical Physics math.MP

Abstract

We find that an S-duality in SL(2) Chern-Simons theory for hyperbolic 3-manifolds emerges by the Borel resummation of a semiclassical expansion around a particular flat connection associated to the hyperbolic structure. We demonstrate it numerically with two representative examples of hyperbolic 3-manifolds.

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Cite

@article{arxiv.1710.09994,
  title  = {S-duality resurgence in SL(2) Chern-Simons theory},
  author = {Dongmin Gang and Yasuyuki Hatsuda},
  journal= {arXiv preprint arXiv:1710.09994},
  year   = {2018}
}

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23 pages