Quantum symmetries for exceptional SU(4) modular invariants associated with conformal embeddings
Quantum symmetries for exceptional SU(4) modular invariants associated with conformal embeddings
复制标题
与共形嵌入相关的特殊 SU(4) 模不变量的量子对称性
DOI：
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发表时间：
2008
期刊：
影响因子：
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通讯作者：
G. Schieber
中科院分区：
文献类型：
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作者：
R. Coquereaux;G. Schieber
SU（4）的三个例外模不变量存在于第4、6和8层。它们可以通过适当的共形嵌入得到，并且相应的图具有自融合性。从这些嵌入，或从它们的相关模不变量，我们确定量子对称的代数，获得它们的生成元，并作为副产品，恢复已知的图E4，E6和E8描述特殊的SU（4）型量子子群。我们还得到了它们和它们的量子群胚的特征数（量子基数，维数）。
Three exceptional modular invariants of SU(4) exist at levels 4, 6 and 8. They can be obtained from appropriate conformal embeddings and the corresponding graphs have self-fusion. From these embeddings, or from their associated modular invariants, we deter- mine the algebras of quantum symmetries, obtain their generators, and, as a by-product, recover the known graphs E4, E6 and E8 describing exceptional quantum subgroups of type SU(4). We also obtain characteristic numbers (quantum cardinalities, dimensions) for each of them and for their associated quantum groupo¨ids.