Mathieu Moonshine and symmetry surfing.

Autor: Matthias R Gaberdiel, Christoph A Keller, Hynek Paul
Předmět:
Zdroj: Journal of Physics A: Mathematical & Theoretical; 11/24/2017, Vol. 50 Issue 47, p1-1, 1p
Abstrakt: Mathieu Moonshine, the observation that the Fourier coefficients of the elliptic genus on K3 can be interpreted as dimensions of representations of the Mathieu group , has been proven abstractly, but a conceptual understanding in terms of a representation of the Mathieu group on the BPS states, is missing. Some time ago, Taormina and Wendland showed that such an action can be naturally defined on the lowest non-trivial BPS states, using the idea of ‘symmetry surfing’, i.e. by combining the symmetries of different K3 sigma models. In this paper we find non-trivial evidence that this construction can be generalized to all BPS states. [ABSTRACT FROM AUTHOR]
Databáze: Complementary Index