Galois symmetry in the WZW fusion ring

articles

• Fuchs, Jürgen, Bert Schellekens, and Christoph Schweigert. “Quasi-Galois Symmetries of the modularS-Matrix.” Communications in Mathematical Physics 176, no. 2 (March 1996): 447–65. doi:10.1007/BF02099557. http://dx.doi.org/10.1007/BF02099557
• Fuchs, J., A. N. Schellekens, and C. Schweigert. 1995. “Galois Modular Invariants of WZW Models.” Nuclear Physics. B 437 (3): 667–694. doi:10.1016/0550-3213(94)00577-2.
• Gannon, Terry. 1995. “Symmetries of the Kac-Peterson Modular Matrices of Affine Algebras.” Inventiones Mathematicae 122 (2): 341–357. doi:10.1007/BF01231448. http://dx.doi.org/10.1007/BF01231448
• Fuchs, Jürgen, Beatriz Gato-Rivera, Bert Schellekens, and Christoph Schweigert. 1994. “Modular Invariants and Fusion Rule Automorphisms from Galois Theory.” Physics Letters. B 334 (1-2): 113–120. doi:10.1016/0370-2693(94)90598-3.
• Coste, A., and T. Gannon. “Remarks on Galois Symmetry in Rational Conformal Field Theories.” Physics Letters B 323, no. 3–4 (March 17, 1994): 316–21. doi:10.1016/0370-2693(94)91226-2 http://dx.doi.org/10.1016/0370-2693%2894%2991226-2
• Gannon, Terry. “WZW Commutants, Lattices and Level-One Partition Functions.” Nuclear Physics B 396, no. 2–3 (May 17, 1993): 708–36. doi:10.1016/0550-3213(93)90669-G. http://www.sciencedirect.com/science/article/pii/055032139390669G
• Ruelle, Ph., E. Thiran, and J. Weyers. “Implications of an Arithmetical Symmetry of the Commutant for Modular Invariants.” Nuclear Physics B 402, no. 3 (August 9, 1993): 693–708. doi:10.1016/0550-3213(93)90125-9.
• Boer, Jan de, and Jacob Goeree. “Markov Traces and \({\rm II}_1\) Factors in Conformal Field Theory.” Communications in Mathematical Physics 139, no. 2 (1991): 267–304.