Eigensystem and Full Character Formula of the W_{1+infinity} Algebra with c=1

H. Awata; M. Fukuma; S. Odake; Y.-H. Quano

Eigensystem and Full Character Formula of the W_(1+infinity) Algebra with c=1

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arxiv hep-th/9312208 v2 pith:F4BL6UNM submitted 1993-12-30 hep-th

Eigensystem and Full Character Formula of the W_(1+infinity) Algebra with c=1

H. Awata , M. Fukuma , S. Odake , Y.-H. Quano This is my paper

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keywords infinityalgebracharacterformulafullanalyzecartandiagrams

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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 parametrized by the Young diagrams, and explicitly written down by W_{1+infinity} generators. Moreover, their eigenvalues and full character formula are also obtained.

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