35 citations · 250 across the 28 of their papers we have counts for
6 papers · 1 filter
The Umbral Moonshine Module for the Unique Unimodular Niemeier Root System
John F. R. Duncan, Jeffrey A. Harvey
We use canonically-twisted modules for a certain super vertex operator algebra to construct the umbral moonshine module for the unique Niemeier lattice that coincides with its root…
Moonshine
John F. R. Duncan, Michael J. Griffin, Ken Ono
Monstrous moonshine relates distinguished modular functions to the representation theory of the monster. The celebrated observations that 196884=1+196883 and 21493760=1+196883+2129…
The Jack Daniels Problem
John F. R. Duncan, Ken Ono
In 1975 Ogg offered a bottle of Jack Daniels for an explanation of the fact that the prime divisors of the order of the monster are the primes p for which the characteristic p supe…
The Moonshine Module for Conway's Group
John F. R. Duncan, Sander Mack-Crane
We exhibit an action of Conway's group---the automorphism group of the Leech lattice---on a distinguished super vertex operator algebra, and we prove that the associated graded tra…
Maass-Jacobi Poincaré series and Mathieu Moonshine
Kathrin Bringmann, John Duncan, Larry Rolen
Mathieu moonshine attaches a weak Jacobi form of weight zero and index one to each conjugacy class of the largest sporadic simple group of Mathieu. We introduce a modification of t…
Mock Modular Mathieu Moonshine Modules
Miranda C. N. Cheng, Xi Dong, John F. R. Duncan +3
We construct super vertex operator algebras which lead to modules for moonshine relations connecting the four smaller sporadic simple Mathieu groups with distinguished mock modular…