"One dimensional anyons in a exactly solvable model

Anyons play an important role in topological quantum computation. They appear as
the natural quasiparticle excitation of fractional quantum Hall states.
At the edge of the two dimensional electron liquid, the excitations
can be described by one dimensional anyons. In this talk I will
present a model for anyonic excitations which is exactly solvable by
Bethe Ansatz, and I will discuss the role of the statistic parameter
in the single component and multicomponent ground state energy.