W{1+ \infty} algebra, W_3 algebra, and Friedan-Martinec-Shenker bosonization
q-alg
2009-10-30 v1 High Energy Physics - Theory
Quantum Algebra
Abstract
We show that the vertex algebra W{1+ \infty} with central charge -1 is isomorphic to a tensor product of the simple W_3 algebra with central charge -2 and a Heisenberg vertex algebra generated by a free bosonic field. We construct a family of irreducible modules of the W_3 algebra with central charge -2 in terms of free fields and calculate the full character formulas of these modules with respect to the full Cartan subalgebra of the W_3 algebra.
Cite
@article{arxiv.q-alg/9708008,
title = {W{1+ \infty} algebra, W_3 algebra, and Friedan-Martinec-Shenker bosonization},
author = {Weiqiang Wang},
journal= {arXiv preprint arXiv:q-alg/9708008},
year = {2009}
}
Comments
Latex, 23 pages