Coset construction for winding subalgebras and applications

Details Coset construction for winding subalgebras and applications Coset construction for winding subalgebras and applications

1996-10-10

arxiv.org/abs/q-alg/9610013v3

Physics

High Energy Physics

High Energy Physics - Theory

8 pages. Crucial reference overlooked. Ref added and appropriate changes made, including new title. Old title: `A new coset co

Scientific paper

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 $E_{10}$.

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