Coset construction for winding subalgebras and applications
Abstract
In this paper we review the coset construction for winding subalgebras of affine Lie algebras. We classify all cosets of central charge $\hat c<1$ 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 $E_{10}$.
- Publication:
-
eprint arXiv:q-alg/9610013
- Pub Date:
- October 1996
- DOI:
- 10.48550/arXiv.q-alg/9610013
- arXiv:
- arXiv:q-alg/9610013
- Bibcode:
- 1996q.alg....10013B
- Keywords:
-
- Mathematics - Quantum Algebra;
- High Energy Physics - Theory;
- 17B67;
- 17B68;
- 81R10
- E-Print:
- 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