UDuality and the Leech Lattice
Abstract
It has recently been shown that the full automorphism group of the Leech lattice, Conway's group Co_0, can be generated by 3 x 3 matrices over the octonions. We show such matrices are of type F_4 in E_{6(26)}, the Uduality group for N=2, D=5 exceptional magic supergravity. By mapping points of the Leech lattice to black hole charge vectors, it is seen Co_0 is generated by Uduality transformations acting as rotations in the charge space for BPS black holes.
 Publication:

arXiv eprints
 Pub Date:
 July 2013
 DOI:
 10.48550/arXiv.1307.1554
 arXiv:
 arXiv:1307.1554
 Bibcode:
 2013arXiv1307.1554R
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics
 EPrint:
 13 pages, construction clarified