English

Vertex operator algebras generated by Ising vectors of $\sigma$-type

Quantum Algebra 2018-03-06 v1

Abstract

We prove the uniqueness of the simple vertex operator algebra of OZ-type generated by Ising vectors of σ\sigma-type. We also prove that the simplicity can be omitted if the Griess algebra is isomorphic to the Matsuo algebra associated with the root system of type AnA_n.

Keywords

Cite

@article{arxiv.1803.01385,
  title  = {Vertex operator algebras generated by Ising vectors of $\sigma$-type},
  author = {Cuipo Jiang and Ching Hung Lam and Hiroshi Yamauchi},
  journal= {arXiv preprint arXiv:1803.01385},
  year   = {2018}
}

Comments

21 pages