E11, SL(32) and central charges

Peter West
2003 Physics Letters B  
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
more » ... n dimensional supersymmetry algebra.
doi:10.1016/j.physletb.2003.09.059 fatcat:bl6ksu2cmrf7dnqacurqbeg26a