Quasi-Galois Symmetries of the Modular S-Matrix

Abstract

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).

arXiv comment20 pages (A4), LaTeX

References in corpus (2)

• Galois Modular Invariants of WZW Models
• Modular invariants and fusion rule automorphisms from Galois theory

Cited by in corpus (6)

• Fusion rules of modular invariants
• Quantum symmetries for exceptional SU(4) modular invariants associated with conformal embeddings
• Lectures on conformal field theory and Kac-Moody algebras
• Conformal embeddings and higher-spin bulk duals
• Discretized Weyl-orbit functions: modified multiplication and Galois symmetry
• WZW fusion rings in the limit of infinite level