Z3 symmetry and W3 algebra in lattice vertex operator algebras
Z3 symmetry and W3 algebra in lattice vertex operator algebras
复制标题
DOI：
10.2140/pjm.2004.215.245
复制
发表时间：
2004-06
影响因子：
0.6
通讯作者：
C. Dong;C. Lam;K. Tanabe;H. Yamada;K. Yokoyama
中科院分区：
文献类型：
--
作者：
C. Dong;C. Lam;K. Tanabe;H. Yamada;K. Yokoyama
利用陪集构造和轨道折叠理论，将中心荷为6/5的W3代数实现为顶点算子代数V <$2A2的一个子代数，该代数对应于一个V <$2A2型格.证明了W3是有理性的.它的不可约模的分类和明确的建设。还计算了这些不可约模的特征标。
The W 3 algebra of central charge 6/5 is realized as a sub-algebra of the vertex operator algebra V√ 2A2 associated with a lattice of type √2A 2 by using both coset construction and orbifold theory. It is proved that W 3 is rational. Its irreducible modules are classified and constructed explicitly. The characters of those irreducible modules are also computed.