Axiomatic conformal field theory

Communications in Mathematical Physics

Volumn 209, Issue 3, 2000, Pages 549-594

  Gaberdiel, Matthias R ^a   Goddard, Peter ^a  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034360462     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050031     Document Type: Article

References (24)

1. 1. Veneziano, G.: Construction of a crossing-symmetric, Regge-behaved amplitude for linearly rising trajectories. Nuovo Cim. 57A, 190 (1968)
2. 2. Koba, Z. and Nielsen, H.B.: Manifestly crossing-invariant parametrization of n-meson amplitude. Nucl. Phys. B12, 517 (1969)
3. 3. Belavin, A.A., Polyakov, A.M. and Zamolodchikov, A.B.: Infinite conformal symmetry in two-dimensional quantum field theory. Nucl. Phys. B241, 333 (1984)
4. 4. Moore, G. and Seiberg, N.: Classical and Quantum Conformal Field Theory. Commun. Math. Phys. 123, 177 (1989)
5. 5. Segal, G.: Notes on Conformal Field Theory. Unpublished manuscript
6. 6. Borcherds, R.E.: Vertex algebras, Kac-Moody algebras and the monster. Proc. Nat. Acad. Sci. U.S.A. 83, 3068 (1986)
7. 7. Borcherds, R.E.: Monstrous moonshine and monstrous Lie algebras. Invent. Math. 109, 405 (1992)
8. 8. Frenkel, I., Lepowsky, J. and Meurman, A.: Vertex Operator Algebras and the Monster. London-New York: Academic Press, 1988
9. 9. Frenkel, I., Huang, Y.-Z. and Lepowsky, J.: On axiomatic approaches to vertex operator algebras and modules. Mem. Am. Math. Soc. 104, 1 (1993)
10. 10. Kac, V.: Vertex algebras for beginners. Providence, RI: Am. Math. Soc., 1997
11. 11. Wassermann, A.J.: Operator algebras and conformal field theory. In: Proceedings of the I.C.M. Zürich 1994, Basel-Boston: Birkhäuser, 1995, p. 966
12. 12. Gabbiani, F. and Fröhlich, J.: Operator algebras and conformal field theory. Commun. Math. Phys. 155, 569 (1993)
13. 13. Goddard, P.: Meromorphic conformal field theory. In: Infinite dimensional Lie algebras and Lie groups: Proceedings of the CIRM Luminy Conference, 1988 Singapore: World Scientific, 1989, p.556
14. 14. Osterwalder, K. and Schrader, R.: Axioms for euclidean Green's functions. Commun. Math. Phys. 31, 83 (1973)
15. 15. Felder, G., Fröhlich, J. and Keller, G.: On the structure of unitary conformal field theory. I. Existence of conformal blocks. Commun. Math. Phys. 124, 417 (1989)
16. 16. Huang, Y.-Z.: A functional-analytic theory of vertex (operator) algebras. math.QA/9808022
17. 17. Montague, P.: On Representations of Conformal Field Theories and the Construction of Orbifolds. Lett. Math. Phys. 38, 1 (1996), hep-th/9507083
18. 18. Zhu, Y.: Vertex Operator Algebras, Elliptic Functions and Modular Forms. Caltech preprint (1990), J. Am. Math. Soc. 9, 237 (1996)
19. 19. Gaberdiel, M.R. and Goddard, P.: In preparation
20. 20. Frenkel, I.B. and Zhu, Y.: Vertex operator algebras associated to representations of affine and Virasoro algebras. Duke Math. J. 66, 123 (1992)
21. 21. Dong, C., Li, H., Mason, G.: Twisted Representations of Vertex Operator Algebras. q-alg/9509005
22. 22. Hille, E.: Analytic Function Theory I. Blaisdell Publishing Company, 1959
23. 23. Hille, E.: Analytic Function Theory II. Blaisdell Publishing Company, 1962
24. 24. Farb, B., Dennis, R.K.: Noncommutative Algebra. Berlin-Heidelberg-New York: Springer, 1993