Modular invariants and fusion rule automorphisms from Galois theory

Details Modular invariants and fusion rule automorphisms from Galois theory Modular invariants and fusion rule automorphisms from Galois theory

1994-05-24

arxiv.org/abs/hep-th/9405153v1

Phys.Lett. B334 (1994) 113-120

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1016/0370-2693(94)90598-3

We show that Galois theory of cyclotomic number fields provides a powerful
tool to construct systematically integer-valued matrices commuting with the
modular matrix S, as well as automorphisms of the fusion rules. Both of these
prescriptions allow the construction of modular invariants and offer new
insight in the structure of known exceptional invariants.

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