Holomorphic Vertex Operator Algebras of Small Central Charges
C. Dong, G. Mason
Abstract
We 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 V1 is semisimple (possibly 0) of Lie rank less than 24.
Create a lesson
Related papers
Quantum Color Newton Rings
Honghuai Fang
Right Coideal Subalgebras, Hopf Galois Objects, and -Hopf Algebras
Rongchuan Xiong
On generators and relations for On(V) in higher-level Zhu algebras, Part I
Nathan Vander Werf
Cellular Algebra of A2 webs
Azat M. Gainutdinov, Jesper Lykke Jacobsen, Yueheng Li
Quandles with isomorphic representation categories
Mohamad Maassarani
On quasi-lisse affine vertex algebras L-1-h/6(g) from rank-one Argyres-Douglas theories
Drazen Adamovic, Xuanzhong Dai, Kaiwen Sun