Classification of the vertex operator algebras VL+ of class S4

JOURNAL OF ALGEBRA

卷:456

Article

Hashikawa, Tomonori¹  Shimakura, Hiroki¹ 

[1] Tohoku Univ, Grad Sch Informat Sci, Aoba Ku, Aramaki Aza Aoba 6-3-09, Sendai, Miyagi 9808579, Japan

关键词: Vertex operator algebras;    Lattices;    Binary codes;   

DOI  :  10.1016/j.jalgebra.2016.01.035

来源: Elsevier

【 摘 要 】

In this paper, we prove that an even rootless lattice L is isomorphic to 2A(1), root 2D(4), root 2E(8), or BW16 if the lattice type vertex operator algebra Vi is of class S-4. In addition, we prove that the vertex operator algebra V-root 2D4(+) is of class S-5, and the vertex operator algebras V-2A1(+), V-root 2E8(+), and V-BW16(+) are of class S-7. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free