English

Moonshine for Rudvalis's sporadic group II

Representation Theory 2008-11-03 v2

Abstract

In Part I we introduced the notion of enhanced vertex operator superalgebra, and constructed an example which is self-dual, has rank 28, and whose full symmetry group is a seven-fold cover of the sporadic simple group of Rudvalis. In this article we construct a second enhanced vertex operator superalgebra whose full automorphism group is a cyclic cover of the Rudvalis group. This new example is self-dual and has rank -28. As in Part I, we can compute all the McKay--Thompson series associated to the action of the Rudvalis group explicitly. We observe that these series, when considered together with those of Part I, satisfy a genus zero property.

Cite

@article{arxiv.math/0611355,
  title  = {Moonshine for Rudvalis's sporadic group II},
  author = {John F. Duncan},
  journal= {arXiv preprint arXiv:math/0611355},
  year   = {2008}
}

Comments

31 pages; minor revisions

R2 v1 2026-07-22T17:46:11.086Z