Vertex operator expressions for Lie algebras of physical states
We study the Lie algebra of physical states associated with certain vertex operator algebras of central charge 24. By applying the no-ghost theorem from string theory we express the corresponding Lie brackets in terms of vertex algebra operations. In the special case of the Moonshine module this res...
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Zusammenfassung: | We study the Lie algebra of physical states associated with certain vertex
operator algebras of central charge 24. By applying the no-ghost theorem from
string theory we express the corresponding Lie brackets in terms of vertex
algebra operations. In the special case of the Moonshine module this result
answers a question of Borcherds, posed in his paper on the Monstrous moonshine
conjecture. |
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DOI: | 10.48550/arxiv.2408.07597 |