Applications of anomaly matching to SU(N) spin chains and generalization of Haldane conjecture

量子物理学・ナノサイエンス第242回セミナー

概要

We discuss an application of anomaly matching to study the phase structure of SU(N) spin chain. Anomaly matching is a field-theoretic avatar of Lieb-Schultz-Mattis theorem, and gives a useful tool to understand nonperturbative aspects of strongly-coupled systems. Low-energy effective theory of SU(N) anti-ferromagnetic Heisenberg chain of p-box representation is described by SU(N)/U(1)^N-1 nonlinear sigma model with the specific theta angles, and we show that its phase diagram in terms of theta angles is almost completely determined only by symmetry, anomaly, and global inconsistency. We further show that if we have Z_N lattice translation, the anomaly matching suggests that the low-energy limit is described by SU(N)_gcd(N,p) Wess-Zumino-Witten model.

• 量子物理学・ナノサイエンス第242回セミナー

• 量子物理学・ナノサイエンス先端研究センター 主催
• 東京工業大学理学院・物理学系、「ナノサイエンスを拓く量子物理学拠点」共催