标题： 准伽罗瓦模S矩阵的对称性 显示英文标题

标题： Quasi-Galois Symmetries of the Modular S-Matrix

摘要： 最近引入的RCFT的Galois对称性，在WZW情形下被推广为“准Galois对称性”。这些对称性可以用来推导出大量关于模矩阵S的分量的恒等式和求和规则，其中包括一些之前仅通过经验观察到的结果。此外，准Galois对称性允许构造模不变量，并且能够在不同层次上关联S-矩阵以及模不变量。它们还引导我们对g到so(dim g)的共形嵌入的分支规则提出了一个非常可信的猜想。 显示英文摘要

摘要： The recently introduced Galois symmetries of RCFT are generalized, for the WZW case, to `quasi-Galois symmetries'. These symmetries can be used to derive a large number of equalities and sum rules for entries of the modular matrix S, including some that previously had been observed empirically. In addition, quasi-Galois symmetries allow to construct modular invariants and to relate S-matrices as well as modular invariants at different levels. They also lead us to an extremely plausible conjecture for the branching rules of the conformal embeddings of g into so(dim g).