Universität zu Köln

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

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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:	Creators Email ORCID ORCID Put Code Krauel, Matthew UNSPECIFIED UNSPECIFIED UNSPECIFIED Mason, Geoffrey UNSPECIFIED UNSPECIFIED UNSPECIFIED
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:	Keywords Language MODULAR-INVARIANCE; RATIONALITY Multiple languages Mathematics, Applied; Mathematics; Physics, Mathematical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/40233