New braided endomorphisms from conformal inclusions

Communications in Mathematical Physics

Volumn 192, Issue 2, 1998, Pages 349-403

  Xu, Feng ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032394340     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050302     Document Type: Article

References (42)

1. Longo, R.: Minimal index and braided subfactors. J. Funct. Anal. 109, 98-112 (1992)
2. Longo, R.: Duality for Hopf algebras and for subfactors, I. Commun. Math. Phys. 159, 133-150 (1994)
3. Longo, R.: Index of subfactors and statistics of quantum fields, I. Commun. Math. Phys., 126, 217-247 (1989)
4. Longo, R.: Index of subfactors and statistics of quantum fields, II. Commun. Math. Phys., 130, 285-309 (1990)
5. Longo, R.: Proceedings of International Congress of Mathematicians, 1281-1291 (1994)
6. Longo, R. and Rehren, K.-H. Nets of subfactors. Rev. Math. Phys., 7, 567-597 (1995)
7. Popa, S. Classification of subfactors and of their endomorphisms. CBMS Lecture Notes Series, 86
8. Wassermann, A.: Operator algebras and Conformal field theories III. To appear
9. Wassermann, A.: Proceedings of International Congress of Mathematicians, 966-979 (1994)
10. Petkova, V.B. and Zuber, J.-B.: From CFT to graphs. hep-th-9510198
11. Di Francesco, P. and Zuber, J.-B.: Integrable lattice models associated with SU(N). Nucl. Phys. B, 338, 602-623 (1990)
12. Kawahigashi, Y.: Classification of paragroup actions on subfactors. Publ. RIMS, Kyoto Univ., 31 481-517 (1995)
13. Evans, D.E. and Kawahigashi, Y.: From subfactors to 3-dimensional topological quantum field theories and back - A detailed account of Ocneanu's theory. Internat. J. Math., 6, 537-558 (1995)
14. Ocneanu, A.: Quantum symmetry, differential geometry of finite graphs and classification of subfactors. University of Tokyo Seminary Notes 45, (Notes recorded by Y. Kawahigashi), 1991
15. Ocneanu, A.: An invariant couplings between 3-manifolds and subfactors. Preprint (1991)
16. Goodman, F.M., de la Harpe, P. and Jones, V.: Towers of algebras and Coxeter graphs. MSRI publication, no. 14
17. Pressley, A. and Segal, G.: Loop groups. Oxford: Clarendon Press, 1986
18. Izumi, M.: Applications of fusion rules to classification of subfactors. Publ. RIMS, Kyoto Univ., 27, 953-994 (1991)
19. 8.Pacific J. Math. 166, 305-327 (1994) (1992)
20. Bockenhauer, J.: An algebraic formulation of level 1 WZW models. Hep-th 9507047, Rev. Math. Phys. 8, 925-948 (1996)
21. Goddard, P., Nahm, W. and Olive, D.: Symmetric spaces, Sugawara's energy momentum tensor in two dimensions and free fermions. Phy. Lett. 160B, 111-116 (1985)
22. n and subfactors. Invent. Math., 92, 349-383 (1988)
23. Maclane, S.: Categories for the working mathematicians. Graduate Texts in Mathematics 5, Berlin: Springer 1977
24. Fröhlich, J. and Gabbiani, F.: Operator algebras and CFT. Commun. Math. Phys. 155, 569-640 (1993)
25. Kac, V.G. and Wakimoto, M.: Modular and conformal invariance constraints in representation theory of affine algebras. Adv. in Math. 70, 156-234 (1988)
26. Kac, V.G.: Infinite dimensional algebras, 3rd Edition. Cambridge: Cambridge University Press, 1990
27. Sochen, N.: Integrable models from Hecke algebras. Nucl. Phys.B 360, 613-637 (1991)
28. Moore, G. and Seiberg, N.: Classical and quantum conformal field theory. Commun. Math. Phys. 123, 77-184 (1989)
29. Xu, F.: Orbifold construction in subfactors. Commun. Math. Phys. 166, 237-253 (1994)
30. Xu, F: A new series of subfactors. Ph.D. thesis, Berkeley, 1995
31. Xu, F.: Generalized Goodman-Harper-Jones construction of subfactors, I. Commun. Math. Phys. 184, 475-491 (1997)
32. Xu, F.: Generalized Goodman-Harpe-Jones construction of subfactors, II. Commun. Math. Phys. 184, 493-508 (1997)
33. Xu, F.: The flat part of non-flat orbifold. Pac. J. Math., 172(1), 299-306 (1996)
34. Xu, F.: Jones-Wassermann subfactors for Disconnected Intervals. q-alg 9704003
35. Walton, M.A.: Fusion rules in WZW models. Nucl. Phys. B 340, 777-790 (1990)
36. Cappeli, A., Itzykson, C. and Zuber, J.-B.: Commun. Math. Phys. 116, 1-23 (1987)
37. Yamagami, S.: A note on Ocneanu's approach to Jones index theory. Int. J. Math. 4, 859-871 (1993)
38. Fredenhagen, K., Rehren, K.-H. and Schroer, B.: Superselection sectors with braid group statistics and exchange algebras, II. Rev. Math. Phys. Special issue (1992), 113-157
39. Fredenhagen, K.: Generalizations of the theory of superselection sectors. In The algebraic theory of superselection sectors D. Kastler ed., Singapore. World Scientific, 1990
40. Guido, D. and Longo, R.: The Conformal Spin and Statistics Theorem, hep-th 9505059
41. Guido, D. and Longo, R.: Relativistic invariance and charge conjugation in quantum field theory. Commun. Math. Phys. 148, 521-551 (1995)
42. Guido, D. and Longo, R.: An Algebraic Spin and Statistics Theorem. To appear in Commun. Math. Phys.