The McKay-Thompson series of Mathieu Moonshine modulo two

Abstract

In this note, we describe the parity of the coefficients of the McKay-Thompson series of Mathieu moonshine. As an application, we prove a conjecture of Cheng, Duncan and Harvey stated in connection with Umbral moonshine for the case of Mathieu moonshine.

12 pages, to be published in Ramanujan Journal

References in corpus (3)

• Notes on the K3 Surface and the Mathieu group M_24
• Quantum Black Holes, Wall Crossing, and Mock Modular Forms
• Note on Twisted Elliptic Genus of K3 Surface

Cited by in corpus (3)

• A K3 sigma model with Z_2^8:M_{20} symmetry
• Umbral Moonshine and the Niemeier Lattices
• Generalised Mathieu Moonshine