dorsal/arxiv
View SchemaCoset construction for winding subalgebras and applications
| Authors | Peter Bouwknegt |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9610013 |
| URL | https://arxiv.org/abs/q-alg/9610013 |
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 $E_{10}$.
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"date_created": "2026-03-02T18:01:28.718000Z",
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"abstract": "In this paper we review the coset construction for winding subalgebras of\naffine Lie algebras. We classify all cosets of central charge $\\hat c\u003c1$ and\ncalculate their branching rules. The corresponding character identities give\ncertain `doubling formulae\u0027 for the affine characters. We discuss some\napplications of our construction, in particular we find a simple proof of a\ncrucial identity needed for the computation of the level-2 root multiplicities\nof the hyperbolic Kac-Moody algebra $E_{10}$.",
"arxiv_id": "q-alg/9610013",
"authors": [
"Peter Bouwknegt"
],
"categories": [
"q-alg",
"hep-th",
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],
"title": "Coset construction for winding subalgebras and applications",
"url": "https://arxiv.org/abs/q-alg/9610013"
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