Holomorphic Vertex Operator Algebras of Small Central Charges

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dc.creatorDong, C.
dc.creatorMason, G.
dc.date2002-03-01
dc.date.accessioned2026-07-07T04:46:46Z
dc.date.available2026-07-07T04:46:46Z
dc.descriptionWe provide a rigorous mathematical foundation to the study of strongly rational, holomorphic vertex operator algebras V of central charge c = 8, 16 and 24 initiated by Schellekens. If c = 8 or 16 we show that V is isomorphic to a lattice theory corresponding to a rank c even, self-dual lattice. If c = 24 we prove, among other things, that either V is isomorphic to a lattice theory corresponding to a Niemeier lattice or the Leech lattice, or else the Lie algebra on the weight one subspace V_1 is semisimple (possibly 0) of Lie rank less than 24.
dc.description13 pages, latex
dc.identifierhttps://arxiv.org/abs/math/0203005
dc.identifierhttp://arxiv.org/abs/math/0203005
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63465
dc.subjectQuantum Algebra
dc.titleHolomorphic Vertex Operator Algebras of Small Central Charges
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