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.
Categories: hep-th