Resurgence in complex Chern-Simons theory
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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.
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Cited by 3 Pith papers
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On Uniqueness of Mock Theta Functions
Mock theta functions admit a unique resurgent continuation across their natural boundary, with the continuation fixed by their Mordell-Appell integrals via rotated Laplace contours.
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From BV-BFV Quantization to Reshetikhin-Turaev Invariants
It conjectures that the E_2-category arising from BV-BFV quantization of Chern-Simons on the disk supplies the modular tensor category for Reshetikhin-Turaev invariants, with derived character stacks Loc_G(Σ) mediatin...
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$c_{\rm eff}$ from Resurgence at the Stokes Line
Resurgent cyclic orbits' algebraic structure plus the leading q-series term determines the asymptotic growth exponent of dual q-series coefficients, which equals an effective central charge c_eff in a related 3d N=2 QFT.
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