Mathieu Moonshine and symmetry surfing. (1st November 2017)

• Record Type: Journal Article
• Authors: Gaberdiel, Matthias R; Keller, Christoph A; Paul, Hynek
• Is Part Of: Journal of physics. Volume 50:Number 47(2017)
• Publication Date: 2017-11-01
• Subjects: Mathieu Moonshine -- modular forms -- vertex operator algebras; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/aa915f
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: 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 M 24, 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.