A Supergeometric Interpretation of Vertex Operator Superalgebras

International Mathematics Research Notices

Volumn , Issue 9, 1996, Pages

  Barron, Katrina ^a  

^a RUTGERS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 1842431139     PISSN: 10737928     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (21)

1. K. Barron, The supergeometric interpretation of vertex operator superalgebras, Ph.D. thesis, Rutgers University, 1996.
2. A. A. Beilinson, Yu. I. Manin and V. V. Schechtman, "Sheaves of the Virasoro and Neveu-Schwarz algebras" in k-Theory, Arithmetic, and Geometry, Lecture Notes in Math. 1289, Springer-Verlag, Berlin, 1987, 52-66.
3. A. A. Belavin, A. M. Polyakov, and A. B. Zamolodchikov, Infinite conformal symmetries in two-dimensional quantum field theory, Nuclear Phys. B 241 (1984), 333-380.
4. R. Borcherds, Vertex algebras, Kac-Moody algebras, and the Monster, Proc. Nat. Acad. Sci. U.S.A. 83 (1986), 3068-3071.
5. L. Crane and J. Rabin, Super Riemann surfaces: uniformization and Teichmüller theory, Comm. Math. Phys. 113 (1988), 601-623.
6. B. DeWitt, Supermanifolds, 2d ed., Cambridge Monogr. Math. Phys., Cambridge Univ. Press, Cambridge, 1992.
7. C. Dong and J. Lepowsky, Generalized Vertex Algebras and Relative Vertex Operators, Progr. Math. 112, Birkhäuser, Boston, 1993.
8. 8, Contemp. Math. 121, Amer. Math. Soc., Providence, 1991.
9. I. B. Frenkel, J. Lepowsky, and A. Meurman, Vertex Operator Algebras and the Monster, Academic Press, New York, 1988.
10. D. Friedan, "Notes on string theory and two dimensional conformal field theory" in Unified String Theories, World Scientific, Singapore, 1986, 162-213.
11. D. Friedan and S. Shenker, The analytic geometry of two-dimensional conformal field theory, Nuclear Phys. B 281 (1987), 509-545.
12. P. Goddard, "Meromorphic conformal field theory" in Infinite-Dimensional Lie Algebras and Groups, ed. by V. Kac, Adv. Ser. Math. Phys. 7, World Scientific, Teaneck, N.J., 1989, 556-587.
13. Y.-Z. Huang, Two Dimensional Conformal Geometry and Vertex Operator Algebras, Birkhäuser, Boston, to appear.
14. _, On the geometric interpretation of vertex operator algebras, Ph.D. thesis, Rutgers University, 1990.
15. Y.-Z. Huang and J. Lepowsky, "Operadic formulation of the notion of vertex operator algebra" in Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups, ed. by P. Sally, M. Flato, J. Lepowsky, N. Reshetikhin, and G. Zuckerman, Contemp. Math. 175, Amer. Math. Soc., Providence, 1994, 131-148.
16. V. Kac and W. Wang, "Vertex operator superalgebras and their representations" in Mathematical Aspects of Conformal and Topological Field Theories and Quantum Groups, ed. by P. Sally, M. Flato, J. Lepowsky, N. Reshetikhin and G. Zuckerman, Contemp. Math. 175, Amer. Math. Soc., Providence, 1994, 161-191.
17. A. Neveu and J. H. Schwarz, Factorizable dual model of pions, Nuclear Phys. B 31 (1971), 86-112.
18. A. Rogers, Graded manifolds, supermanifolds and infinite-dimensional Grassmann algebras, Comm. Math. Phys. 105 (1986), 375-384.
19. G. Segal, The definition of conformal field theory, preprint.
20. H. Tsukada, Vertex operator superalgebras, Comm. Algebra 18 (1990), 2249-2274.
21. C. Vafa, Conformal theories and punctured surfaces, Phys. Lett. B 199 (1987), 195-202.