Super-moonshine for Conway's largest sporadic group

By J. Duncan. 2005

96 citations recorded by the source corpus.

We study a self-dual N=1 super vertex operator algebra and prove that the full symmetry group is Conway's largest sporadic simple group. We verify a uniqueness result which is analogous to that conjectured to characterize the Moonshine vertex operator algebra. The action of the automorphism group is sufficiently transparent that one can derive explicit expressions for all the McKay-Thompson series. A corollary of the construction is that the perfect double cover of the Conway group may be characterized as a point-stabilizer in a spin module for the Spin group associated to a 24 dimensional Euclidean space.

Subfields: Algebra and Number Theory, Geometry and Topology, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/4d5a0f6cab650b22dfee7c91244830afa11e1852

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. E. Witten

In Geometry and Topology

1. E. Witten
2. D. Gaiotto
3. Tudor Dimofte
4. Sergei Gukov
5. Mina Aganagic
6. Dan Xie
7. Sungjay Lee
8. Andrew Neitzke

In Statistical and Nonlinear Physics

1. E. Witten
2. F. Cachazo
3. Sergei Gukov
4. Tudor Dimofte
5. Yuji Tachikawa
6. D. Gaiotto
7. Andrew Strominger
8. A. Maloney

Citations in the corpus

• Three-Dimensional Gravity Revisited (2007, background): “I also wish to thank J. Duncan, G. Höhn, G. Nebe, and J. Teschner for descriptions of their work and helpful advice; T. Gannon, R. Griess, J. Lepowsky, and A. Ryba for correspondence about the monster group and related matters; and many colleagues at the IAS and elsewhere, especially A. Maloney, G.”