Abstract
The classification of odd positive-definite unimodular lattices M of rank 24 was completed by Borcherds. There are 273 isometry classes of such lattices. Associated to them are vertex superalgebras VM of central charge . We show that at least 267 (but not all) of these vertex superalgebras contain an superconformal subalgebra of central charge . This is achieved by studying embeddings of a certain rank 6 lattice L+.
KEYWORDS:
MATHEMATICS SUBJECT CLASSIFICATION::
Acknowledgments
The authors are indebted to the referees for their careful consideration and helpful comments on a prior version of this paper. We also thank Philipp Höhn for proof reading.