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Resurgence, exact WKB and quantum geometry

Basar, Gokce
2016-05-14
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Resurgence, exact WKB and quantum geometry

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2016-05-14

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The theory of resurgence connects high order terms of perturbative series to low order terms in non-perturbative sectors. In this talk I will present a different type of resurgent relation that connects perturbative and non-perturbative sectors in a term-by-term fashion in certain quantum mechanical systems. This relation is valid for everywhere in the spectrum and has a geometric interpretation in terms of quantization of Riemann surfaces. Notably, the spectra of these quantum mechanical examples encode the vacua of certain N=2 supersymmetric gauge theories in the Nekrasov-Shatashvili limit.

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Continuous Advances in QCD 2016

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Basar, Gokce. (2016). Resurgence, exact WKB and quantum geometry. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/180388.

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