Genus of vertex algebras and mass formula
Quantum Algebra
2021-03-30 v2 Mathematical Physics
math.MP
Representation Theory
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.
Keywords
Cite
@article{arxiv.2004.01441,
title = {Genus of vertex algebras and mass formula},
author = {Yuto Moriwaki},
journal= {arXiv preprint arXiv:2004.01441},
year = {2021}
}
Comments
36 pages, to appear in Math. Z