(2024-10-28) Seminar: Yutaka Matsuo -- A Calogero model for nonabelian quantum Hall effect

发布者:杨璐发布时间:2024-10-23浏览次数:17

松尾泰  教授学术报告


Title: A Calogero model for nonabelian quantum Hall effect

Speaker: Yutaka Matsuo (松尾泰)

Affiliation: University of Tokyo, Japan(日本东京大学

Time: 09:30-10:30, Monday, 28th October, 2024 (UTC+8, Beijing Time)

Venue: Room 1502, Shing-Tung Yau Center, Yifu Architecture Building, Sipailou Campus of Southeast University, Nanjing

         (东南大学四牌楼校区逸夫建筑馆丘成桐中心1502室)

Inviter: Ryo Suzuki (铃木了)

Abstract  

A model of the non-Abelian fractional quantum Hall effect is obtained from the diagonalization of the matrix model proposed by Dorey, Tong, and Turner (DTT). The Hamiltonian is reminiscent of a spin Calogero-Moser model but involves higher-order symmetric representations of the non-Abelian symmetry. We derive the energy spectrum and show that the Hamiltonian has a triangular action on a certain class of wave functions with a free-fermion expression. We deduce the expression of the ground-state eigenfunctions and show that they solve a Knizhnik-Zamolodchikov equation. Finally, we discuss the emergence of Kac-Moody symmetries in the large-N limit using the level-rank duality, and we confirm the results obtained previously by DTT. This talk is a joint work by J.-E. Bourgine arXiv: 2401.03087 (published on PRB).


Speaker

Yutaka Matsuo is a professor at The University of Tokyo High Energy Physics Theory Group in Japan. His expertise includes CFT and integrable systems.


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