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arXiv · 1311.0584

Non-Perturbative Quantum Geometry

Daniel Krefl
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Abstract

The beta-ensemble with cubic potential can be used to study a quantum particle in a double-well potential with symmetry breaking term. The quantum mechanical perturbative energy arises from the ensemble free energy in a novel large N limit. A relation between the generating functions of the exact non-perturbative energy, similar in spirit to the one of Dunne-Unsal, is found. The exact quantization condition of Zinn-Justin and Jentschura is equivalent to the Nekrasov-Shatashvili quantization condition on the level of the ensemble. Refined topological string theory in the Nekrasov-Shatashvili limit arises as a large N limit of quantum mechanics.

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Daniel Krefl. 2013-11-04. Non-Perturbative Quantum Geometry. https://doi.org/10.1007/jhep02(2014)084

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