苗原  博士学术报告

Title: Lattice non-invertible symmetry from non-commuting transfer matrices

Speaker: Yuan Miao (苗原)

Affiliation: École normale supérieure de Paris, France（法国巴黎高等师范学校）

Time: 10:00-11:00, Tuesday, 21st July, 2026 (UTC+8, Beijing Time)

Venue: Room 1502, Shing-Tung Yau Center, Sipailou Campus of Southeast University（东南大学四牌楼校区丘成桐中心1502室）

Inviter: Yunfeng Jiang（江云峰）

Abstract

The spin-1/2 XXZ chain, or six-vertex model, is a prototypical quantum integrable model governed by the Yang–Baxter equation. At roots of unity, it admits non-Abelian quasi-local conserved charges generating a representation of the Onsager algebra. I will explain how this Onsager symmetry follows from the non-commuting transfer matrices of the $\tau_2$ model. The same construction yields lattice operators whose fusion rules realise the Tambara–Yamagami fusion category $\mathrm{TY}(\mathbb Z_N)$, providing a lattice counterpart of the non-invertible symmetries of the corresponding $c=1$ compact boson CFT. I will conclude with implications for representation theory and quantum dynamics.

Speaker

Dr. Yuan Miao is currently a postdoctoral fellow at the École normale supérieure de Paris in France. He obtained his PhD in Theoretical Physics degree in 2021 from Institute for Theoretical Physics, University of Amsterdam, under the supervision of Prof. Jean-Sébastien Caux. Then he was postdoctoral fellow at the Galileo Galilei Institute for Theoretical Physics, INFN in Italy from 2022 to 2023 and at the IPMU of Tokyo University in Japan from 2023 to 2026.

He specialises in exact solvable models, many-body systems out of equilibrium and other aspects of mathematical physics.