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Alterfold Topological Quantum Field Theory

组织者

Vassily Manturov , 任世全 , 万喆彦

演讲者

刘正伟

时间

2024年09月11日 15:30 至 17:00

地点

A3-2-301

线上

Zoom 831 5020 0580 (141592)

摘要

We will introduce the n-sphere function on n-dimensional lattice models and derive a spherical n-category from it. Then we introduce the alterfold construction of the n+1 topological quantum field theory from an n-sphere function with reflection positivity and finite entanglement rank. The alterfold TQFT has two colors A and B for the n+1 cell. The A-color theory contains a higher analogue of the Turaev TQFT and the B color theory contains a higher analogue of the Drinfeld center and the Reshetihkin-Turaev TQFT. In particular, we construct a 3-sphere function and a 3+1 alterfold TQFT of Ising type from it.

演讲者介绍

研究领域：数学，数学物理和量子信息，特别是子因子理论和量子傅立叶分析，及其与算子代数、纽结理论、低维拓扑、量子群表示论、傅里叶分析、范畴学、量子信息、量子场论等领域的联系。