Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4665716 | Advances in Mathematics | 2014 | 26 Pages |
Abstract
We discover new analytic properties of classical partial and false theta functions and their potential applications to representation theory of WW-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)W(2,2p−1), we formulate a Verlinde-type formula for the fusion rules of irreducible W(2,2p−1)W(2,2p−1)-modules.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Thomas Creutzig, Antun Milas,