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Tsinghua-BIMSA Computational & Applied Mathematics (CAM) Seminar
Bootstrapping Calabi-Yau Quantum Mechanics
Bootstrapping Calabi-Yau Quantum Mechanics
Organizers
Jie Du
, Computational & Applied Mathematics Group
, Hui Yu
Speaker
Minxin Huang
Time
Tuesday, December 14, 2021 11:00 AM - 12:00 PM
Venue
1120
Online
Zoom 388 528 9728
(BIMSA)
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.