False theta functions and the Verlinde formula
Creutzig T, Milas A (2014)
Publication Type: Journal article
Publication year: 2014
Journal
Book Volume: 262
Pages Range: 520-545
DOI: 10.1016/j.aim.2014.05.018
Abstract
We discover new analytic properties of classical partial and false theta functions and their potential applications to representation theory of W-algebras and vertex algebras in general. More precisely, motivated by clues from conformal field theory, first, we are able to determine modular-like transformation properties of regularized partial and false theta functions. Then, after suitable identification of regularized partial/false theta functions with the characters of atypical modules for the singlet vertex algebra W(2,2p-1), we formulate a Verlinde-type formula for the fusion rules of irreducible W(2,2p-1)-modules. © 2014 Elsevier Inc.
Involved external institutions
University of Alberta
Canada (CA)
State University of New York at Albany (UNY Albany / UAlbany)
United States (USA) (US)
Canada (CA)
State University of New York at Albany (UNY Albany / UAlbany)
United States (USA) (US)
How to cite
APA:
Creutzig, T., & Milas, A. (2014). False theta functions and the Verlinde formula. Advances in Mathematics, 262, 520-545. https://doi.org/10.1016/j.aim.2014.05.018
MLA:
Creutzig, Thomas, and Antun Milas. "False theta functions and the Verlinde formula." Advances in Mathematics 262 (2014): 520-545.
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