E-11, SL(32) and central charges

摘要

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. (C) 2003 Published by Elsevier B.V. References: 18