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arXiv · hep-th/0307098

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

P. West
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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.

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P. West. 2003-09-19. $E_{11}$, SL(32) and Central Charges. https://doi.org/10.1016/j.physletb.2003.09.059

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