MODULAR INVARIANTS AND FUSION RULE AUTOMORPHISMS FROM GALOIS THEORY

Authors
FUCHS J GATORIVERA B SCHELLEKENS B SCHWEIGERT C
Citation
J. Fuchs et al., MODULAR INVARIANTS AND FUSION RULE AUTOMORPHISMS FROM GALOIS THEORY, Physics letters. Section B, 334(1-2), 1994, pp. 113-120
Citations number
16
Categorie Soggetti
Physics
Journal title
Physics letters. Section B → ACNP
ISSN journal
03702693
Volume
334
Issue
1-2
Year of publication
1994
Pages
113 - 120
Database
ISI
SICI code
0370-2693(1994)334:1-2<113:MIAFRA>2.0.ZU;2-A
Abstract
We show that Galois theory of cyclotomic number fields provides a powe rful tool to construct systematically integer-valued matrices commutin g with the modular matrix S, as well as automorphisms of the fusion ru les. Both of these prescriptions allow the construction of modular inv ariants and offer new insight in the structure of known exceptional in variants.