Modular invariants and fusion rule automorphisms from Galois theory
High Energy Physics - Theory
2009-10-28 v1 Quantum Algebra
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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Cite
@article{arxiv.hep-th/9405153,
title = {Modular invariants and fusion rule automorphisms from Galois theory},
author = {Jürgen Fuchs and Beatriz Gato-Rivera and Bert Schellekens and Christoph Schweigert},
journal= {arXiv preprint arXiv:hep-th/9405153},
year = {2009}
}
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11 pages