Non-Perturbative Quantum Geometry II
High Energy Physics - Theory
2015-06-23 v2
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.
Cite
@article{arxiv.1410.7116,
title = {Non-Perturbative Quantum Geometry II},
author = {Daniel Krefl},
journal= {arXiv preprint arXiv:1410.7116},
year = {2015}
}
Comments
41 pages. v2: minor corrections, refs and remark added