A functional-analytic theory of vertex (operator) algebras, I

Communications in Mathematical Physics

Volumn 204, Issue 1, 1999, Pages 61-84

  Huang, Yi Zhi ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033247270     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s002200050637     Document Type: Article

References (15)

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2. [F] Frenkel, I.B.: Talk presented at the Institute for Advanced Study, 1988; and private communications
3. [FHL] Frenkel, I.B., Huang, Y.-Z. and Lepowsky, J.: On axiomatic approaches to vertex operator algebras and modules. Preprint, 1989; Memoirs Am. Math. Soc. 104, 1993
4. [FLM] Frenkel, I.B., Lepowsky, J. and Meurman, A.: Vertex operator algebras and the Monster. Pure and Appl. Math. 134, New York: Academic Press, 1988
5. [H1] Huang, Y.-Z.: On the geometric interpretation of vertex operator algebras. Ph.D thesis, Rutgers University, 1990
6. [H2] Huang, Y.-Z.: Geometric interpretation of vertex operator algebras. Proc. Natl. Acad. Sci. USA 88, 9964-9968 (1991)
7. [H3] Huang, Y.-Z.: Applications of the geometric interpretation of vertex operator algebras. In: Proc. 20th International Conference on Differential Geometric Methods in Theoretical Physics, New York, 1991, ed. S. Catto and A. Rocha, Singapore: World Scientific, 1992, pp. 333-343
8. [H4] Huang, Y.-Z.: Vertex operator algebras and conformal field theory. Intl. J. of Mod. Phys. A7, 2109-2151 (1992)
9. [H5] Huang, Y.-Z.: Intertwining operator algebras, genus-zero modular functors and genus-zero conformal field theories. In: Operads: Proceedings of Renaissance Conferences, ed. J.-L. Loday, J. Stasheff, and A. A. Voronov, Contemporary Math. 202, Providence, RI: Am. Math. Soc. 1997, pp. 335-355
10. [H6] Huang, Y.-Z.: Two-dimensional conformal geometry and vertex operator algebras. Progress in Mathematics, Vol. 148, Boston: Birkhäuser, 1997
11. [H7] Huang, Y.-Z.: Genus-zero modular functors and intertwining operator algebras, Internat. J. Math. 9, 845-863 (1998)
12. [K1] Köthe, G.: Topological vector spaces I, Grundlehren der mathematischen Wissenschaften, 159, English Edition, New York: Springer-Verlag, 1969
13. [K2] Köthe, G.: Topological vector spaces II. Grundlehren der mathematischen Wissenschaften 237, New York: Springer-Verlag, 1979
14. [S1] Segal, G.B.: The definition of conformal field theory. Preprint, 1988
15. [S2] Segal, G.B.: Two-dimensional conformal field theories and modular functors. In: Proceedings of the IXth International Congress on Mathematical Physics, Swansea, 1988, Bristol: Hilger, 1989, 22-37