Genus of vertex algebras and mass formula
arXiv:2004.01441 · doi:10.1007/s00209-021-02702-0
Abstract
We introduce the notion of a genus and its mass for vertex algebras. For lattice vertex algebras, their genera are the same as those of lattices, which plays an important role in the classification of lattices. We derive a formula relating the mass for vertex algebras to that for lattices, and then give a new characterization of some holomorphic vertex operator algebras.
arXiv comment36 pages, to appear in Math. Z
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Cited by in corpus (4)
- Bosonic Rational Conformal Field Theories in Small Genera, Chiral Fermionization, and Symmetry/Subalgebra Duality
- Two-dimensional conformal field theory, full vertex algebra and current-current deformation
- A Geometric Classification of the Holomorphic Vertex Operator Algebras of Central Charge 24
- Orbifold construction and Lorentzian construction of Leech lattice vertex operator algebra