Determinant and Character of W-infinity algebra

H. Awata; M. Fukuma; S. Odake; Y. Matsuo

Determinant and Character of W-infinity algebra

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arxiv hep-th/9405093 v2 pith:S6B7VOVH submitted 1994-05-14 hep-th

H. Awata , M. Fukuma , Y. Matsuo , S. Odake This is my paper · ORCID

classification hep-th

keywords algebracharacteraccordingbilinearchargesclassifiedcombinationscommuting

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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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Noncommutative Jacobi identity, and gauge theory
math-ph 2024-11 conditional novelty 7.0 of 10

A noncommutative generalization of the Jacobi triple product identity is proven and applied to factorize q-characters of circular quiver gauge theories into infinite products.

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