Mathieu Moonshine and symmetry surfing

Matthias R. Gaberdiel, Christoph A. Keller, Hynek Paul

Research output: Contribution to journalArticle

11 Scopus citations

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 M24, 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.

Original languageEnglish (US)
Article number474002
JournalJournal of Physics A: Mathematical and Theoretical
Volume50
Issue number47
DOIs
StatePublished - Nov 1 2017
Externally publishedYes

Keywords

  • Mathieu Moonshine
  • modular forms
  • vertex operator algebras

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modeling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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