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5 papers · 2 filters
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…
Representation Theory of The Algebra
H. Awata, M. Fukuma, Y. Matsuo +1
We review the recent development in the representation theory of the algebra. The topics that we concern are, Quasifinite representation, Free field realizations, (S…
Determinant and Character of W-infinity algebra
H. Awata, M. Fukuma, Y. Matsuo +1
We diagonalize the Hilbert space of some subclass of the quasifinite module of the \Winf algebra. States are classified according to their eigenvalues for infinitely many commuting…
Determinant Formulae of Quasi-Finite Representation of W_{1+\infty} Algebra at Lower Levels
H. Awata, M. Fukuma, Y. Matsuo +1
We calculate the Kac determinant for the quasi-finite representation of \Winf algebra up to level 8. It vanishes only when the central charge is integer. We give an algebraic const…
Eigensystem and Full Character Formula of the W_{1+infinity} Algebra with c=1
H. Awata, M. Fukuma, S. Odake +1
By using the free field realizations, we analyze the representation theory of the W_{1+infinity} algebra with c=1. The eigenvectors for the Cartan subalgebra of W_{1+infinity} are…