$E_{11}$, SL(32) and Central Charges
Abstract
Description
We show that the $E_{11}$ representation that contains the space-time translation generators also contains the rank two and five totally anti-symmetric representations of $A_{10}$. By studying the behaviour of these latter $A_{10}$ representations under SL(32), which we argue is contained in the Cartan involution invariant sub-algebra of $E_{11}$, 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.
12 pages, plain tex, Typos corrected, one reference and three sentences added and equation (3.8) changed
12 pages, plain tex, Typos corrected, one reference and three sentences added and equation (3.8) changed