Bargmann空间中与A $_r$统计量相关的手征玻色子
Chiral bosons on Bargmann space associated with A$_r$ Statistics
摘要：
我们考虑服从$A_r$统计的大量粒子。该系统表现得像一个量子液滴，其特征在于一个恒定的Husimi分布。我们表明，该系统的激发生活在液滴的边界上，他们所描述的一个有效的手征玻色子行动推广Wess-Zumino-Witten理论在二维。我们的分析是基于与$A_r$统计相关的Fock-Bargmann分析表示。实现了描述边缘动力学的理论的量子化。作为副积，我们证明了边缘激发是由$r$阿贝尔玻色子场的张量积给出的。
英文摘要：
We consider a large collection of particles obeying $A_r$ statistics. The system behaves like a quantum droplet characterized by a constant Husimi distribution. We show that the excitations of this system live on the boundary of the droplet and they are described by an effective chiral boson action generalizing the Wess-Zumino-Witten theory in two dimension. Our analysis is based on the Fock-Bargmann analytical representations associated to $A_r$ statistics. The quantization of the theory describing the dynamics on the edge is achieved. As by product, we prove that the edge excitations are given by a tensorial product of $r$ abelian bosonic fields.
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