TL;DR
This paper explores non-perturbative corrections in quantum geometry related to supersymmetric gauge theories, providing explicit formulas at strong coupling and analyzing their significance compared to weak coupling.
Contribution
It offers new analytic expressions for non-perturbative corrections in SU(2) gauge theory at strong coupling, filling gaps in previous research.
Findings
Non-perturbative corrections are significant at strong coupling.
Corrections are negligible at weak coupling.
Provides explicit formulas for SU(2) gauge theory.
Abstract
The Nekrasov-Shatashvili limit of beta-ensembles with polynomial potential and N=2 supersymmetric gauge theories in the Omega-background is intimately related to complex one-dimensional quantum mechanics. Multi-instanton corrections in quantum mechanics, inferable from exact quantization conditions, imply additional non-perturbative corrections to the Nekrasov-Shatashvili free energies. Besides filling some of the gaps in previous derivations, we present analytic expressions for such additional non-perturbative corrections in the case of SU(2) gauge theory expanded at strong coupling. In contrast, at weak coupling these additional non-perturbative corrections appear to be negligible.
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