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

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

1993-12-30

arxiv.org/abs/hep-th/9312208v2

Lett.Math.Phys. 31 (1994) 289-298

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1007/BF00762791

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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