- BIMSA-Tsinghua量子对称讨论班

Dualities of spin chains

组织者

黄林哲 , 刘正伟 , 塞巴斯蒂安·帕尔库 , 王亦龙 , 吴劲松

演讲者

Corey Jones

时间

2025年04月16日 10:30 至 12:00

地点

A3-3-301

线上

Zoom 242 742 6089 (BIMSA)

摘要

A duality (in the spirit of Kramers-Wannier) is a (locality-preserving) mapping between spin systems that yields a (locality-preserving) isomorphism on a subalgebra of observables containing the terms of the Hamiltonian. The natural subalgebras that arise are called abstract spin chains and are closely connected to the theory of subfactors. A natural question that arises is the problem of classifying dualities up to internal finite-depth circuits. We will explain several invariants arising from subfactor theory and a recent extension result that yields a complete classification in the case where the abstract spin chain is the algebra of symmetric operators under an onsite finite group symmetry. Based on joint work with Kylan Schatz and Dominic Williamson.

Reference:
https://arxiv.org/abs/2410.08884