$E_{11}$, SL(32) and Central Charges
High Energy Physics - Theory
2008-11-26 v2
Abstract
We show that the representation that contains the space-time translation generators also contains the rank two and five totally anti-symmetric representations of . By studying the behaviour of these latter representations under SL(32), which we argue is contained in the Cartan involution invariant sub-algebra of , we find that the rank two and five totally anti-symmetric representations must be identified with the central charges of the eleven dimensional supersymmetry algebra.
Cite
@article{arxiv.hep-th/0307098,
title = {$E_{11}$, SL(32) and Central Charges},
author = {P. West},
journal= {arXiv preprint arXiv:hep-th/0307098},
year = {2008}
}
Comments
12 pages, plain tex, Typos corrected, one reference and three sentences added and equation (3.8) changed