Modular invariants, graphs and α-induction for nets of subfactors I

Communications in Mathematical Physics

Volumn 197, Issue 2, 1998, Pages 361-386

  Bockenhauer J ^a   Evans, D E ^a  

^a CARDIFF UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0040843697     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050455     Document Type: Article

References (21)

1. Böckenhauer, J., Evans, D.E.: Modular Invariants, Graphs and α-Induction for Nets of Subfactors II. Preprint, hep-th/9801171, to appear in Commun. Math. Phys.
2. Buchholz, D., Mack, G., Todorov, I.: The Current Algebra on the Circle as a Germ of Local Field Theories. Nucl. Phys. B (Proc. Suppl.) 5B, 20-56 (1988)
3. 1 Conformal Invariant Theories. Commun. Math. Phys. 113, 1-26 (1987)
4. Di Francesco, P.: Integrable Lattice Models, Graphs and Modular Invariant Conformal Field Theories. Int. J. Mod. Phys. A 7, 407-500 (1992)
5. Di Francesco, P., Zuber, J.-B.: SU(N) Lattice Integrable Models Associated with Graphs. Nucl. Phys. B 338, 602-646 (1990)
6. Di Francesco, P., Zuber, J.-B.: SU(N) Lattice Integrable Models and Modular Invariants. In: Randjbar, S. et al (eds.): Recent Developments in Conformal Field Theories. Singapore: World Scientific 1990, 179-215
7. Doplicher, S., Haag, R., Roberts, J.E.: Fields, Observables and Gauge Transformations I. Commun. Math. Phys. 13, 1-23 (1969)
8. Doplicher, S., Haag, R., Roberts, J.E.: Fields, Observables and Gauge Transformations II. Commun. Math. Phys. 15, 173-200 (1969)
9. Doplicher, S., Haag, R., Roberts, J.E.: Local Observables and Particle Statistics I. Commun. Math. Phys. 23, 199-230 (1971)
10. Doplicher, S., Haag, R., Roberts, J.E.: Local Observables and Particle Statistics II. Commun. Math. Phys. 35, 49-85 (1974)
11. Evans, D.E., Kawahigashi, Y.: Quantum Symmetries on Operator Algebras. Oxford University Press 1998
12. Fredenhagen, K., Rehren, K.-H., Schroer, B.: Superselection Sectors with Braid Group Statistics and Exchange Algebras I. Commun. Math. Phys. 125, 201-226 (1989)
13. Fredenhagen, K., Rehren, K.-H., Schroer, B.: Superselection Sectors with Braid Group Statistics and Exchange Algebras II. Rev. Math. Phys. Special Issue, 113-157 (1992)
14. Haag, R.: Local Quantum Physics. Berlin, Heidelberg, New York: Springer-Verlag 1992
15. Kosaki, H.: Extension of Jones Theory on Index to Arbitrary Factors. J. Funct. Anal. 66, 123-140 (1986)
16. Longo, R.: Index of Subfactors and Statistics of Quantum Fields II. Commun. Math. Phys. 130, 285-309 (1990)
17. Longo, R.: Minimal Index of Braided Subfactors. J. Funct. Anal. 109, 98-112 (1991)
18. Longo, R.: A Duality for Hopf Algebras and for Subfactors. I. Commun. Math. Phys. 159, 133-150 (1994)
19. Longo, R., Rehren, K.-H.: Nets of Subfactors. Rev. Math. Phys. 7, 567-597 (1995)
20. Petkova, V.B., Zuber, J.-B.: From CFT to Graphs. Nucl. Phys. B 463, 161-193 (1996)
21. Xu, F.: New braided endomorphisms from conformal inclusions. Commun. Math. Phys. 192, 349-403 (1998)