Coset construction for winding subalgebras and applications
q-alg
2008-02-03 v3 High Energy Physics - Theory
Quantum Algebra
Abstract
In this paper we review the coset construction for winding subalgebras of affine Lie algebras. We classify all cosets of central charge and calculate their branching rules. The corresponding character identities give certain `doubling formulae' for the affine characters. We discuss some applications of our construction, in particular we find a simple proof of a crucial identity needed for the computation of the level-2 root multiplicities of the hyperbolic Kac-Moody algebra .
Keywords
Cite
@article{arxiv.q-alg/9610013,
title = {Coset construction for winding subalgebras and applications},
author = {Peter Bouwknegt},
journal= {arXiv preprint arXiv:q-alg/9610013},
year = {2008}
}
Comments
8 pages. Crucial reference overlooked. Ref added and appropriate changes made, including new title. Old title: `A new coset construction and applications'. Plain TeX with amssym.def