157 citations · 191 across the 5 of their papers we have counts for
5 papers
A Calogero model for the non-Abelian quantum Hall effect
Jean-Emile Bourgine, Yutaka Matsuo
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 rem…
Collective Field Description of Spin Calogero-Sutherland Models
H. Awata, Y. Matsuo, T. Yamamoto
Using the collective field technique, we give the description of the spin Calogero-Sutherland Model (CSM) in terms of free bosons. This approach can be applicable for arbitrary cou…
A Note on Calogero-Sutherland Model, W_n Singular Vectors and Generalized Matrix Models
H. Awata, Y. Matsuo, S. Odake +1
We review some recent results on the Calogero-Sutherland model with emphasis upon its algebraic aspects. We give integral formulae for excited states (Jack polynomials) of this mod…
Collective fields, Calogero-Sutherland model and generalized matrix models
H. Awata, Y. Matsuo, S. Odake +1
On the basis of the collective field method, we analyze the Calogero--Sutherland model (CSM) and the Selberg--Aomoto integral, which defines, in particular case, the partition func…
Subalgebras of and Their Quasifinite Representations
H. Awata, M. Fukuma, Y. Matsuo +1
We propose a series of new subalgebras of the algebra parametrized by polynomials , and study their quasifinite representations. We also investigate the relati…