Moonshine vertex operator algebra as L(1/2,0)⊗L(7/10,0)⊗L(4/5,0)⊗L(1,0)-modules

[摘要] In this article, we study the structure of the famous Moonshine vertex operator algebra Vdegrees as a module for a certain vertex operator subalgebra isomorphic to (L((1)/(2), 0) circle times L((7)/(10), 0) circle times L((4)/(5), 0) circle times L(1,0))(circle times8). As our main result, we obtain a complete decomposition of V' associated with this algebra. Our method is based on an embedding of the lattice (root2A(3))(8) into the Leech lattice. Actually, we construct certain vertex operator algebras using some Z(8) and Z(2) x Z(2) codes. A decomposition of the Moonshine vertex operator algebra is obtained by a careful study of their representations. (C) 2001 Elsevier Science B.V. All rights reserved.

[发布日期] 2002-08-08