Generalized Mathieu Moonshine
Journal article, 2013
The Mathieu twisted twining genera, i.e., the analogues of Norton's generalized Moonshine functions, are constructed for the elliptic genus of K3. It is shown that they satisfy the expected consistency conditions, and that their behaviour under modular transformations is controlled by a 3-cocycle in H-3(M-24, U(1)), just as for the case of holomorphic orbifolds. This suggests that a holomorphic VOA may be underlying Mathieu Moonshine.
Algebras
Orbifolds
Finite-Group
BPS States
Group M-24
Modular-Invariance
K3 Surfaces
N=4 Dyons
Symmetry
Author
Matthias R. Gaberdiel
Swiss Federal Institute of Technology in Zürich (ETH)
Daniel Persson
Chalmers, Applied Physics, Mathematical Physics
Henrik Ronellenfitsch
Max Planck Society
R. Volpato
Max Planck Society
Communications in Number Theory and Physics
1931-4523 (ISSN) 1931-4531 (eISSN)
Vol. 7 1 145-223Subject Categories
Mathematics
Physical Sciences
DOI
10.4310/CNTP.2013.v7.n1.a5