Abstract
The recently introduced Galois symmetries of rational conformal field theory are generalized, for the case of WZW theories, to “quasi-Galois symmetries.” These symmetries can be used to derive a large number of equalities and sum rules for entries of the modular matrixS, including some that previously had been observed empirically. In addition, quasi-Galois symmetries allow us to construct modular invariants and to relateS-matrices as well as modular invariants at different levels. They also lead us to a convenient closed expression for the branching rules of the conformal embeddings
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Communicated by R.H. Dijkgraaf
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Fuchs, J., Schellekens, B. & Schweigert, C. Quasi-Galois symmetries of the modularS-matrix. Commun.Math. Phys. 176, 447–465 (1996). https://doi.org/10.1007/BF02099557
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DOI: https://doi.org/10.1007/BF02099557