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

arXiv:hep-th/9312208 · doi:10.1007/BF00762791

Abstract

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.

12 pages, YITP/K-1049, SULDP-1993-1, RIMS-959, Plain TEX, ( New references )

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