The Moonshine Module for Conway's Group

@article{Duncan2014TheMM,
  title={The Moonshine Module for Conway's Group},
  author={John F. R. Duncan and Sander Mack-Crane},
  journal={arXiv: Representation Theory},
  year={2014}
}
  • John F. R. Duncan, Sander Mack-Crane
  • Published 2014
  • Mathematics, Physics
  • arXiv: Representation Theory
  • 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 trace functions are normalized principal moduli, all having vanishing constant terms in their Fourier expansion. Thus we construct the natural analogue of the Frenkel--Lepowsky--Meurman moonshine module for Conway's group. The super vertex operator algebra we consider admits a natural characterization, in direct analogy… CONTINUE READING

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