Determinant and Character of W-infinity algebra

Details Determinant and Character of W-infinity algebra Determinant and Character of W-infinity algebra

1994-05-14

arxiv.org/abs/hep-th/9405093v2

Commun.Math.Phys. 172 (1995) 377-400

Physics

High Energy Physics

High Energy Physics - Theory

34 pages, YITP/K-1060, YITP/U-94-17, SULDP-1994-3 Improvement of the proofs of some theorems

Scientific paper

10.1007/BF02099433

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 charges and the Young diagrams. The parameter dependence of their norms is explicitly derived. The full character formulae of the degenerate representations are given as summation of the bilinear combinations of the Schur polynomials.

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