Resurgence in complex Chern-Simons theory
Resurgence in complex Chern-Simons theory
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发表时间：
2016-05
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通讯作者：
S. Gukov;M. Mariño;Pavel Putrov
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作者：
S. Gukov;M. Mariño;Pavel Putrov
研究了闭三维流形上SU(2)Chern-Simons理论(WRT不变量)配分函数的渐近性质。我们明确地检验了在各种例子中，渐近展开式的Borel变换具有预期的解析性质。在我们研究的例子中，我们观察到不可约平坦联络对路径积分的贡献可以从围绕阿贝尔平坦联络的渐近展开中恢复。我们还讨论了与Floer瞬子模空间、二维Sigma模型中的圆盘瞬子以及A-多项式曲线上的“复测地线”的长度谱之间的联系。
We study resurgence properties of partition function of SU(2) Chern-Simons theory (WRT invariant) on closed three-manifolds. We check explicitly that in various examples Borel transforms of asymptotic expansions posses expected analytic properties. In examples that we study we observe that contribution of irreducible flat connections to the path integral can be recovered from asymptotic expansions around abelian flat connections. We also discuss connection to Floer instanton moduli spaces, disk instantons in 2d sigma models, and length spectra of "complex geodesics" on the A-polynomial curve.