Eigensystem and Full Character Formula of the W_{1+infinity} Algebra with c=1
High Energy Physics - Theory
2009-10-22 v2
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.
Keywords
Cite
@article{arxiv.hep-th/9312208,
title = {Eigensystem and Full Character Formula of the W_{1+infinity} Algebra with c=1},
author = {H. Awata and M. Fukuma and S. Odake and Y. -H. Quano},
journal= {arXiv preprint arXiv:hep-th/9312208},
year = {2009}
}
Comments
12 pages, YITP/K-1049, SULDP-1993-1, RIMS-959, Plain TEX, ( New references )