Z_3 symmetry and W_3 algebra in lattice vertex operator algebras
Quantum Algebra
2007-05-23 v1
Abstract
The W_3 algebra of central charge 6/5 is realized as a subalgebra of the vertex operator algebra V_{\sqrt{2}A_2} associated with a lattice of type \sqrt{2}A_2 by using both coset construction and orbifold theory. It is proved that W_3 is rational. Its irreducible modules are classified and constructed explicitly. The characters of those irreducible modules are also computed.
Keywords
Cite
@article{arxiv.math/0302314,
title = {Z_3 symmetry and W_3 algebra in lattice vertex operator algebras},
author = {C. Dong and C. H. Lam and K. Tanabe and H. Yamada and K. Yokoyama},
journal= {arXiv preprint arXiv:math/0302314},
year = {2007}
}
Comments
46 pages, latex