Krauel, Matthew and Mason, Geoffrey (2015). Jacobi trace functions in the theory of vertex operator algebras. Commun. Number Theory Phys., 9 (2). S. 273 - 306. SOMERVILLE: INT PRESS BOSTON, INC. ISSN 1931-4531
Full text not available from this repository.Abstract
We describe a type of n-point function associated to strongly regular vertex operator algebras V and their irreducible modules. Transformation laws with respect to the Jacobi group are developed for 1-point functions. For certain elements in V, the finite-dimensional space spanned by the 1-point functions for the irreducible modules is shown to be a vector-valued weak Jacobi form. A decomposition of 1-point functions for general elements is proved, and shows that such functions are typically quasi-Jacobi forms. Zhu-type recursion formulas are provided; they show how an n-point function can be written as a linear combination of (n - 1)-point functions with coefficients that are quasi-Jacobi forms.
Item Type: | Journal Article | ||||||||||||
Creators: |
|
||||||||||||
URN: | urn:nbn:de:hbz:38-402339 | ||||||||||||
DOI: | 10.4310/CNTP.2015.v9.n2.a2 | ||||||||||||
Journal or Publication Title: | Commun. Number Theory Phys. | ||||||||||||
Volume: | 9 | ||||||||||||
Number: | 2 | ||||||||||||
Page Range: | S. 273 - 306 | ||||||||||||
Date: | 2015 | ||||||||||||
Publisher: | INT PRESS BOSTON, INC | ||||||||||||
Place of Publication: | SOMERVILLE | ||||||||||||
ISSN: | 1931-4531 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
Uncontrolled Keywords: |
|
||||||||||||
URI: | http://kups.ub.uni-koeln.de/id/eprint/40233 |
Downloads
Downloads per month over past year
Altmetric
Export
Actions (login required)
View Item |