Eigensystem and Full Character Formula of the W1+infinity Algebra with c=1
H. Awata, M. Fukuma, S. Odake, Y. -H. Quano
Abstract
By using the free field realizations, we analyze the representation theory of the W1+infinity algebra with c=1. The eigenvectors for the Cartan subalgebra of W1+infinity are parametrized by the Young diagrams, and explicitly written down by W1+infinity generators. Moreover, their eigenvalues and full character formula are also obtained.
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