Generalized Mathieu Moonshine
Artikel i vetenskaplig tidskrift, 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
Författare
Matthias R. Gaberdiel
Eidgenössische Technische Hochschule Zürich (ETH)
Daniel Persson
Chalmers, Teknisk fysik, Matematisk fysik
Henrik Ronellenfitsch
Max-Planck-Gesellschaft
R. Volpato
Max-Planck-Gesellschaft
Communications in Number Theory and Physics
1931-4523 (ISSN) 1931-4531 (eISSN)
Vol. 7 1 145-223Ämneskategorier
Matematik
Fysik
DOI
10.4310/CNTP.2013.v7.n1.a5