Institute of Theoretical Physics

Key Laboratory of Theoretical Physics

  Chinese Academy of Sciences

Seminar

Title

题目

场论、弦论与数学物理报告系列: New Exact Quantization Condition for Toric Calabi-Yau Geometries

Speaker

报告人

Prof. Minxin Huang (黄民信)

Affiliation

所在单位

USTC 中国科学技术大学

Date

日期

3:30 pm, Wed., May 11th, 2016

Venue

地点

Conference Hall 322, ITP/理论物理所322报告厅

Abstract

摘要

We propose a new exact quantization condition for a class of quantum mechanical systems derived from local toric Calabi-Yau three-folds. Our proposal includes all contributions to the energy spectrum which are non-perturbative in the Planck constant, and is much simpler than the available quantization condition in the literature. We check that our proposal is consistent with previous works and implies non-trivial relations among the topological Gopakumar-Vafa invariants of the toric Calabi-Yau geometries. Together with the recent developments, our proposal opens a new avenue in the long investigations at the interface of geometry, topology and quantum mechanics.

Contact person

所内合作者

Gang Yang (杨刚)