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Title of Journal: J High Energ Phys

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Abbravation: Journal of High Energy Physics

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Springer Berlin Heidelberg

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DOI

10.1016/0038-092x(78)90069-5

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1029-8479

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Nonperturbative quantum geometry III

Authors: Daniel Krefl
Publish Date: 2016/08/02
Volume: 2016, Issue: 8, Pages: 20-
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Abstract

The NekrasovShatashvili limit of the refined topological string on toric CalabiYau manifolds and the resulting quantum geometry is studied from a nonperturbative perspective The quantum differential and thus the quantum periods exhibit Stokes phenomena over the combined string coupling and quantized Kähler moduli space We outline that the underlying formalism of exact quantization is generally applicable to points in moduli space featuring massless hypermultiplets leading to nonperturbative band splitting Our prime example is local ℙ1 + ℙ1 near a conifold point in moduli space In particular we will present numerical evidence that in a Stokes chamber of interest the string based quantum geometry reproduces the nonperturbative corrections for the NekrasovShatashvili limit of 4d supersymmetric SU2 gauge theory at strong coupling found in the previous part of this series A preliminary discussion of local ℙ2 near the conifold point in moduli space is also providedThis article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team

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