$E_{11}$, SL(32) and Central Charges

Abstract

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

References in corpus (8)

• E_11 and M Theory
• Hidden Superconformal Symmetry in M Theory
• Very Extended $E_8$ and $A_8$ at low levels, Gravity and Supergravity
• Kac-Moody Symmetries of IIB Supergravity
• A class of Lorentzian Kac-Moody algebras
• Automorphisms, Non-linear Realizations and Branes
• Brane Rotating Symmetries and the Fivebrane Equations of Motion
• Kac-Moody algebras in perturbative string theory

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