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arXiv · 2111.08442

Bootstrapping Calabi-Yau Quantum Mechanics

Bao-ning Du·Min-xin Huang·Pei-xuan Zeng
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Abstract

Recently, a novel bootstrap method for numerical calculations in matrix models and quantum mechanical systems is proposed. We apply the method to certain quantum mechanical systems derived from some well-known local toric Calabi-Yau geometries, where the exact quantization conditions have been conjecturally related to topological string theory. We find that the bootstrap method provides a promising alternative for the precision numerical calculations of the energy eigenvalues. An improvement in our approach is to use a larger set of two-dimensional operators instead of one-dimensional ones. We also apply our improved bootstrap methods to some non-relativistic models in the recent literature and demonstrate better numerical accuracies.

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Bao-ning Du, Min-xin Huang, Pei-xuan Zeng. 2021-11-16. Bootstrapping Calabi-Yau Quantum Mechanics. https://doi.org/10.1088/1572-9494%2Fac679a

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