Torus chiral n-point functions for free boson and lattice vertex operator algebras

Communications in Mathematical Physics

Volumn 235, Issue 1, 2003, Pages 47-68

  Mason, Geoffrey ^a   Tuite, Michael P ^b,c  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

^c DUBLIN INSTITUTE FOR ADVANCED STUDIES   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037596709     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-002-0772-6     Document Type: Article

References (17)

1. [B] Boreherds, R.: Vertex algebras, Kac-Moody algebras and the Monster. Proc. Natl. Acad. Sci, U.S.A. 83, 3068-3071 (1986)
2. [D] D'Hoker, E.: String Theory. In: Quantum Fields and Strings: A Course for Mathematicians, Deligne et al. (eds). Providence, RI: AMS, 1999
3. [DLM] Dong, C., Li, H., Mason, G.: Modular-invariance of trace functions in orbifold theory and generalized moonshine. Commun. Math. Phys. 214, 1-56 (2000)
4. [DM] Dong, C., Mason, G.: Monstrous moonshine of higher weight. Ada Math. 185, 101-121 (2000)
5. [DMN] Dong, C., Mason, G., Nagatoma, K.: Quasi-modular forms and trace functions associated to free boson and lattice vertex operator algebras. Int. Math. Res. Not. 8, 409-427 (2001)
6. [EZ] Eichler, M., Zagier, D.: The Theory of Jacobi Forms. Boston: Birkhäuser, 1985
7. [FHL] Frenkel, I., Huang, Y.-Z., Lepowsicy, J.: On axiomatic approaches to vertex operator algebras and modules. Mem. Am. Math. Soc. 104, 494 (1993)
8. [FLM] Frenkel, I., Lepowsky, J., Meurman, A.: Vertex Operator Algebras and the Monster. NewYork: Academic Press, 1988
9. [Go] Goddard, P.: Meromorphic conformal field theory. In: Proceedings of the CIRM Luminy Conference 1988. Singapore: World Scientific, 1989
10. [Ka] Kac, V.: Vertex Operator Algebras for Beginners, University Lecture Series, Vol. 10, Providence, RI: AMS, 1998
11. [LW] van Lint, J., Wilson, R.: A Course in Combinatorics. Cambridge: Cambridge University Press, 1992
12. [MN] Matsuo, A., Nagatomo, K.: Axioms for a vertex algebra and the locality of quantum fields. Math. Soc. Japan Memoirs 4 (1999)
13. [MT] Mason, G., Tuite, M.P.: Work in progress
14. [Mu] Mumford, D.: Tata Lectures on Theta I. Boston: Birkhäuser, 1983
15. [P] Polchinski, J.: String Theory, Volumes I and II. Cambridge: Cambridge University Press, 1998
16. [T] Tuite, M.P.: Genus two meromorphic conformal field theory. CRM Proc. Lecture Notes 30, 231-251 (2001)
17. [Z] Zhu, Y.: Modular invariance of characters of vertex operator algebras. J. Am. Math. Soc. 9, 237-302 (1996)