Chiral bosons on Bargmann space associated with Ar statistics

Abstract

We consider a large collection of particles obeying Ar 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 with Ar statistics. The quantization of the theory describing the dynamics on the edge is achieved. As a by product, we prove that the edge excitations are given by a tensorial product of r abelian bosonic fields.