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

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

2003-07-10

arxiv.org/abs/hep-th/0307098v2

Phys.Lett.B575:333-342,2003

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, plain tex, Typos corrected, one reference and three sentences added and equation (3.8) changed

Scientific paper

10.1016/j.physletb.2003.09.059

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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