Branching rules of semi-simple Lie algebras using affine extensions

Journal of Physics A: Mathematical and General

Volumn 35, Issue 16, 2002, Pages 3743-3753

  Quella, T ^a  

^a ALBERT EINSTEIN INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037177789     PISSN: 03054470     EISSN: None     Source Type: Journal    
DOI: 10.1088/0305-4470/35/16/313     Document Type: Article

References (27)

1. McKay W, Patera J and Rand D 1990 Tables of Representations of Simple Lie Algebras (Montreal: Centre de Recherches Mathematiques)
2. Goodman R and Wallach N R 1998 Representations and Invariants of the Classical Groups (Cambridge: Cambridge University Press)
3. Fuchs J and Schweigert C 1997 Symmetries, Lie Algebras and Representations (Cambridge Monographs on Mathematical Physics) (Cambridge: Cambridge University Press)
4. Francesco P D, Mathieu P and Senechal D 1999 Conformal Field Theory (Graduate Texts in Contemporary Physics) (New York: Springer)
5. Klimyk A 1967 Multiplicities of weights of representations and multiplicities of representations of semisimple Lie algebras Sov. Math. Dokl. 8 1531-4 (Published originally in 1967 Dokl. Akad. Nauk 177 1001-4 (in Russian))
6. Kac V G 1990 Infinite Dimensional Lie Algebras (Cambridge: Cambridge University Press)
7. Verlinde E 1988 Fusion rules and modular transformations in 2-D conformal field theory Nucl. Phys. B 300 360
8. Alekseev A Yu, Fredenhagen S, Quella T and Schomerus V 2002 Non-commutative gauge theory of twisted branes Preprint AEI-2002-027
9. Walton M A 1990 Fusion rules in Wess-Zumino-Witten models Nucl. Phys. B 340 777-90
10. Walton M A 1990 Algorithm for WZW fusion rules: a proof Phys. Lett. B 241 365-8
11. Fuchs J and van Driel P 1990 WZW fusion rules, quantum groups, and the modular matrix S Nucl. Phys. B 346 632-48
12. Furlan P, Ganchev A C and Petkova V B 1990 Quantum groups and fusion rule multiplicities Nucl. Phys. B 343 205-27
13. Goodman F and Wenzl H 1990 Littlewood-Richardson coefficients for Hecke algebras at roots of unity Adv. Math. 82 244
14. Quella T, Runkel I and Schweigert C 2002 An algorithm for twisted fusion rules Preprint math.qa/0203133
15. Behrend R E, Pearce P A, Petkova V B and Zuber J-B 2000 Boundary conditions in rational conformal field theories Nucl. Phys. B 570 525-89 (hep-th/9908036)
16. Gannon T 2001 Boundary conformal field theory and fusion ring representations Preprint hep-th/0106105
17. Fuchs J and Schweigert C 1999 Symmetry breaking boundaries: I. General theory Nucl. Phys. B 558 419 (hep-th/9902132)
18. Birke L, Fuchs J and Schweigert C 1999 Symmetry breaking boundary conditions and WZW orbifolds Adv. Theor. Math. Phys. 3 671-726 (hep-th/9905038)
19. Fuchs J, Schellekens B and Schweigert C 1996 From Dynkin diagram symmetries to fixed point structures Commun. Math. Phys. 180 39-98 (hep-th/9506135)
20. Ocneanu A 1988 Quantized groups, string algebras and Galois theory for algebras Operator Algebras and Applications vol 2 (Cambridge: Cambridge University Press) pp 119-72
21. Ocneanu A 2000 Paths on Coxeter diagrams: from platonic solids and singularities to minimal models and subfactors Lectures on Operator Theory (The Fields Institute Monographs) (Providence, RI: American Mathematical Society) pp 243-323
22. Ocneanu A 2001 Operator algebras, topology and subgroups of quantum symmetry Taniguchi Conf. on Mathematics (Nara '98) Adv. Studies Pure Math. 235-63
23. Wassermann A 2000 Quantum subgroups and vertex algebras, lectures given at MSRI (Dec. 2000)
24. Kirillov A Jr and Ostrik V 2001 On q-analog of McKay correspondence and ADE classification of sl(2) conformal field theories Preprint math.qa/0101219
25. Hwang S and Rhedin H 1995 General branching functions of affine Lie algebras Mod. Phys. Lett. A 10 823-30 (hep-th/9408087)
26. Petkova V B and Zuber J B 2002 Boundary conditions in charge conjugate sl(N) WZW theories Preprint hep-th/0201239
27. Gaberdiel M R and Gannon T 2002 Boundary states for WZW models Preprint hep-th/0202067