Vertex operator expressions for Lie algebras of physical states
Abstract
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.
Fields of Study & Subjects
Advanced Topics in Algebra
Publication details
- Journal / source
- Journal of Algebra
- Volume
- 709
- Pages
- 781–817
- Publication date
- 3 September 2026
- Language
- EN