Quasi-Galois symmetries of the modular S-matrix

Communications in Mathematical Physics

Volumn 176, Issue 2, 1996, Pages 447-465

  Fuchs, Jürgen ^a   Schellekens, Bert ^a   Schweigert, Christoph ^a  

^a NIKHEF   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030536335     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02099557     Document Type: Article

References (21)

1. Schellekens, A.N., Yankielowicz, S.: Extended chiral algebras and modular invariant partition functions. Nucl. Phys. B 327, 673 (1989)
2. Schellekens, A.N., Yankielowicz, S.: Simple currents, modular invariants, and fixed points. Int. J. Mod. Phys. A 5, 2903 (1990)
3. Intriligator, K.: Bonus symmetry in conformal field theory. Nucl. Phys. B 332, 541 (1990)
4. 1 factors in conformal field theory. Commun. Math. Phys. 139, 267 (1991)
5. Coste, A., Cannon, T.: Remarks on Galois symmetry in rational conformal field theories. Phys. Lett. B 323, 316 (1994)
6. Fuchs, J., Gato-Rivera, B., Schellekens, A.N., Schweigert, C.: Modular invariants and fusion rule automorphisms from Galois theory. Phys. Lett. B 334, 113 (1994)
7. Fuchs, J., Schellekens, A.N., Schweigert, C.: Galois modular invariants of WZW models. Nucl. Phys. B 437, 667 (1995)
8. Kac, V.G., Peterson, D.H.: Infinite-dimensional Lie algebras, theta functions and modular forms. Adv. Math. 53, 125 (1984)
9. Kac, V.G., Sanielevici, M.N.: Decompositions of representations of exceptional affine algebras with respect to conformal subalgebras. Phys. Rev. D 37, 2231 (1988)
10. Kac, V.G., Wakimoto, M.: Modular and conformal invariance constraints in representation theory of affine algebras. Adv. Math. 70, 156 (1988)
11. Walton, M.: Conformal branching rules and modular invariants. Nucl. Phys. B 322, 775 (1989)
12. N+L conformal field theories and their modular invariant partition functions. Int. J. Mod. Phys. A 4, 897 (1989)
13. Hasegawa, K.: Spin module versions of Weyl's reciprocity theorem for classical Kac-Moody Lie algebras - An application to branching rule duality. Publ. RIMS 25, 741 (1989)
14. Altschüler, D., Bauer, M., Itzykson, C.: The branching rules of conformal embeddings. Commun. Math. Phys. 132, 349 (1990)
15. Verstegen, D.: Conformal embeddings, rank-level duality and exceptional modular invariants. Commun. Math. Phys. 137, 567 (1991)
16. Schellekens, A.N., Warner, N.P.: Conformal subalgebras of Kac-Moody algebras. Phys. Rev. D 34, 3092 (1986)
17. Bais, F.A., Bouwknegt, P.: A classification of subgroup truncations of the bosonic string. Nucl. Phys. B 279, 561 (1987)
18. Kac, V.G., Peterson, D.H.: Spin and wedge representations of infinite-dimensional Lie algebras and groups. Proc. Natl. Acad. Sci. USA 78, 3308 (1981)
19. Goddard, P., Olive, D.I.: Kac-Moody algebras, conformal symmetry and critical exponents. Nucl. Phys. B 257, [FS14], 226 (1985)
20. Fuchs, J.: More on the super WZW theory. Nucl. Phys. B 318, 631 (1989)
21. Schellekens, A.N.: Modular invariance and (quasi-)Galois symmetry in conformal field theory. Preprint NIKHEF-H/94-38 (hep-th/9412124), to appear in the Proceedings of the International Symposium on the Theory of Elementary Particles, Wendisch-Rietz (Germany) 1994