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arXiv · hep-th/9405153

Modular invariants and fusion rule automorphisms from Galois theory

Jürgen Fuchs·Beatriz Gato-Rivera·Bert Schellekens·Christoph Schweigert
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Abstract

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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Jürgen Fuchs, Beatriz Gato-Rivera, Bert Schellekens, Christoph Schweigert. 1994-05-24. Modular invariants and fusion rule automorphisms from Galois theory. https://doi.org/10.1016/0370-2693(94)90598-3

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