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 1 145-223

Subject Categories

Mathematics

Physical Sciences

DOI

10.4310/CNTP.2013.v7.n1.a5

More information

Latest update

3/19/2018