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.