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- W3100316108 abstract "We study a certain class of supersymmetric (SUSY) observables in three-dimensional |$mathcal{N}=2$| SUSY Chern–Simons (CS) matter theories and investigate how their exact results are related to the perturbative series with respect to coupling constants given by inverse CS levels. We show that the observables have non-trivial resurgent structures by expressing the exact results as a full transseries consisting of perturbative and non-perturbative parts. As real mass parameters are varied, we encounter Stokes phenomena at an infinite number of points, where the perturbative series becomes non-Borel-summable due to singularities on the positive real axis of the Borel plane. We also investigate the Stokes phenomena when the phase of the coupling constant is varied. For these cases, we find that the Borel ambiguities in the perturbative sector are canceled by those in non-perturbative sectors and end up with an unambiguous result which agrees with the exact result even on the Stokes lines. We also decompose the Coulomb branch localization formula, which is an integral representation for the exact results, into Lefschetz thimble contributions and study how they are related to the resurgent transseries. We interpret the non-perturbative effects appearing in the transseries as contributions of complexified SUSY solutions which formally satisfy the SUSY conditions but are not on the original path integral contour." @default.
- W3100316108 created "2020-11-23" @default.
- W3100316108 creator A5017156871 @default.
- W3100316108 creator A5056739583 @default.
- W3100316108 creator A5083415661 @default.
- W3100316108 creator A5087588286 @default.
- W3100316108 creator A5089973486 @default.
- W3100316108 date "2018-12-01" @default.
- W3100316108 modified "2023-09-27" @default.
- W3100316108 title "Resurgence and Lefschetz thimble in three-dimensional $mathcal{N}=2$ supersymmetric Chern–Simons matter theories" @default.
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