Intertwining operator superalgebras and vertex tensor categories for superconformal algebras, I

Communications in Contemporary Mathematics

Volumn 4, Issue 2, 2002, Pages 327-355

  Huang, Yi Zhi ^a,b   Milas, Antun ^a  

^a RUTGERS UNIVERSITY   (United States)

^b INSTITUT DES HAUTES ÉTUDES SCIENTIFIQUES   (France)

Author keywords

Intertwining operator superalgebras; Superconformal algebras; Vertex tensor categories

Indexed keywords

EID: 0036015420     PISSN: 02191997     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0219199702000622     Document Type: Article

References (49)

1. Rationality of Neveu-Schwarz vertex operator superalgebras
2. (1)
3. On the structure of Verma modules over Virasoro and Neveu-Schwarz algebras
4. A supergeometric interpretation of vertex operator superalgebras
5. Vertex algebras, Kac-Moody algebras, and the Monster
6. Effect of boundary conditions on the operator content of two-dimensional conformally invariant theories
7. Boundary conditions, fusion rules and the Verlinde formula
8. Some world-sheet properties of superstring compactificatians, on orbifolds and otherwise
9. Beauty and the beast: Superconformal symmetry in a Monster module
10. Conformal field theory of twisted vertex operators
11. Generalized vertex algebras and relative vertex operators
12. Discrete series of the Virasoro algebra and the moonshine module
13. 8
14. On axiomatic approaches to vertex operator algebras and modules
15. A natural representation of the Fischer-Griess monster with the modular function J as character
16. Vertex operator algebras and the monster
17. Vertex operator algebras associated to representations of affine and Virasoro algebras
18. Exactly solvable string compactifications on manifolds of rm SU(N) holonomy
19. Space-time supersymmetry in compactified string theory and superconformal models
20. Unitary representations of the Virasoro and super-Virasoro algebras
21. Aspects of quantum geometry
22. Duality in Calabi-Yau moduli space
23. A theory of tensor products for module categories for a vertex operator algebra, IV
24. Virasoro vertex operator algebras, (nonmeromorphic) operator product expansion and the tensor product theory
25. A nonmeromorphic extension of the Moonshine module vertex operator algebra
26. Intertwining operator algebras, genus-zero modular functors and genus-zero conformal field theories
27. Two-dimensional conformal geometry and vertex operator algebras
28. Genus-zero modular functors and intertwining operator algebras
29. Generalized rationality and a generalized Jacobi identity for intertwining operator algebras
30. Toward a theory of tensor products for representations of a vertex operator algebra
31. Tensor products of modules for a vertex operator algebra and vertex tensor categories
32. A theory of tensor products for module categories for a vertex operator algebra, I
33. A theory of tensor products for module categories for a vertex operator algebra, II
34. A theory of tensor products for module categories for a vertex operator algebra, III
35. Intertwining operator algebras and vertex tensor categories for affine Lie algebras
36. Intertwining operator superalgebras and vertex tensor categories for superconformal algebras, II
37. Vertex operator superalgebras and their representations
38. Unitarizable highest weight representations of the Virasoro, Neveu-Schwarz and Ramond algebras
39. Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
40. Chiral rings in N = 2 superconformal theories
41. Factorizable dual model of pions
42. D-branes in Gepner models
43. Two-dimensional conformal field theories and modular functors
44. Vertex operator superalgebras
45. Modular invariance of characters of vertex operator algebras