Intertwining operators and fusion rules for vertex operator algebras arising from symplectic fermions
Intertwining operators and fusion rules for vertex operator algebras arising from symplectic fermions
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DOI：
10.1016/j.jalgebra.2012.09.022
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发表时间：
2011-08
期刊：
影响因子：
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通讯作者：
T. Abe;Yusuke Arike
中科院分区：
文献类型：
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作者：
T. Abe;Yusuke Arike
我们确定了作为费米点算子超代数的偶数部分的顶点算子代数的单模之间的融合规则(交织算子空间的维度)。利用这些融合规则，我们证明了该顶点算子代数的融合代数与Z上的Klein4群的群代数同构。
We determine fusion rules (dimensions of the spaces of intertwining operators) among simple modules for the vertex operator algebra obtained as an even part of the symplectic fermionic vertex operator superalgebra. By using these fusion rules we show that the fusion algebra of this vertex operator algebra is isomorphic to the group algebra of the Klein four group over Z.