Fuchs, J.; Schellekens, A. N.; Schweigert, C. Galois modular invariants of WZW models. (English) Zbl 1052.81530 Nucl. Phys., B 437, No. 3, 667-694 (1995). Summary: The set of modular invariants that can be obtained from Galois transformations is investigated systematically for WZW models. It is shown that a large subset of Galois modular invariants coincides with simple current invariants. For algebras of type B and D infinite series of previously unknown exceptional automorphism invariants are found. Cited in 7 Documents MSC: 81R10 Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, \(W\)-algebras and other current algebras and their representations 11F22 Relationship to Lie algebras and finite simple groups 11Z05 Miscellaneous applications of number theory 17B68 Virasoro and related algebras 81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics PDFBibTeX XMLCite \textit{J. Fuchs} et al., Nucl. Phys., B 437, No. 3, 667--694 (1995; Zbl 1052.81530) Full Text: DOI arXiv References: [1] Friedan, D.; Qiu, Z.; Shenker, S., Phys. Rev. Lett., 52, 1575 (1984) [2] Cappelli, A.; Itzykson, C.; Zuber, J.-B., Commun. Math. Phys., 113, 1 (1987) [3] Gannon, T., Commun. Math. Phys., 161, 233 (1994) [4] Itzykson, C., (Nucl. Phys. (Proc. Suppl.), 5B (1988)), 150 [5] Gannon, T., Nucl. Phys. B, 396, 708 (1993) [6] T. Gannon, The Classification of \(SUk\); T. Gannon, The Classification of \(SUk\) · Zbl 0919.17019 [7] Schellekens, A. N.; Yankielowicz, S., Nucl. Phys. B, 327, 673 (1989) [8] Bernard, D., Nucl. Phys. B, 288, 628 (1987) [9] Altschuler, D.; Lacki, J.; Zaugg, P., Phys. Lett. B, 205, 281 (1988) [10] Ahn, C.; Walton, M., Phys. Lett. B, 223, 343 (1989) [11] Intriligator, K., Nucl. Phys. B, 332, 541 (1990) [12] Felder, G.; Gawedzki, K.; Kupiainen, A., Commun. Math. Phys., 117, 127 (1988) [13] Bouwknegt, P.; Nahm, W., Phys. Lett. B, 184, 359 (1987) [14] Kac, V. G.; Wakimoto, M., Adv. Math., 70, 156 (1988) [15] Walton, M., Nucl. Phys. B, 322, 775 (1989) [16] Altschuler, D.; Bauer, M.; Itzykson, C., Commun. Math. Phys., 132, 349 (1990) [17] Naculich, S.; Schnitzer, H., Phys. Lett. B, 244, 235 (1990) [18] Verstegen, D., Commun. Math. Phys., 137, 567 (1991) [19] Fuchs, J.; Schweigert, C., Ann. Phys., 234, 102 (1994) [20] Warner, N., Commun. Math. Phys., 190, 205 (1990) [21] Roberts, P.; Terao, H., Int. J. Mod. Phys., A7, 2207 (1992) [22] Abolhassani, M.; Ardalan, F., Int. J. Mod. Phys., A9, 2707 (1994) [23] Schellekens, A. N., Commun. Math. Phys., 153, 159 (1993) [24] Fuchs, J.; Gato-Rivera, B.; Schellekens, A. N.; Schweigert, C., Phys. Lett. B, 334, 113 (1994) [25] de Boer, J.; Goeree, J., Commun. Math. Phys., 139, 267 (1991) [26] Coste, A.; Gannon, T., Phys. Lett. B, 323, 316 (1994) [27] Moore, G.; Seiberg, N., Nucl. Phys. B, 313, 16 (1988) [28] Dijkgraaf, R.; Verlinde, E., (Nucl. Phys. (Proc. Suppl.), 5B (1988)), 87 [29] Schellekens, A. N.; Yankielowicz, S., Nucl. Phys. B, 334, 67 (1990) [30] Pasquier, V.; Saleur, H., Nucl. Phys. B, 330, 523 (1990) [31] Kac, V. G.; Peterson, D. H., Adv. Math., 53, 125 (1984) [32] Schellekens, A. N.; Yankielowicz, S., Phys. Lett. B, 227, 387 (1989) [33] Kreuzer, M.; Schellekens, A. N., Nucl. Phys. B, 411, 97 (1994) [34] Schellekens, A. N., Phys. Lett. B, 244, 255 (1990) [35] Gato-Rivera, B.; Schellekens, A. N., Common. Math. Phys., 145, 85 (1992) [36] Schellekens, A. N.; Yankielowicz, S., Int. J. Mod. Phys., A5, 2903 (1990) [37] Gato-Rivera, B.; Schellekens, A. N., Nucl. Phys. B, 353, 519 (1991) [38] Fuchs, J., Commun. Math. Phys., 136, 345 (1991) [39] Bais, F.; Bouwknegt, P., Nucl. Phys. B, 279, 561 (1987) [40] Schellekens, A. N.; Warner, N. P., Phys. Rev. D, 34, 3092 (1986) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.