A construction of admissible $A_1^{(1)}$-modules of level $-{4/3}$
Quantum Algebra
2007-05-23 v2 Mathematical Physics
math.MP
Representation Theory
Abstract
By using generalized vertex algebras associated to rational lattices, we construct explicitly the admissible modules for the affine Lie algebra of level . As an application, we show that the W(2,5) algebra with central charge c=-7 investigated in math.QA/0207155 is a subalgebra of the simple affine vertex operator algebra .
Keywords
Cite
@article{arxiv.math/0401023,
title = {A construction of admissible $A_1^{(1)}$-modules of level $-{4/3}$},
author = {Drazen Adamovic},
journal= {arXiv preprint arXiv:math/0401023},
year = {2007}
}
Comments
16 pages; Latex; minor changes; added references