Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-12-13
JHEP 0703:010,2007
Physics
High Energy Physics
High Energy Physics - Theory
25 pages, LaTeX, typos corrected, final version published in JHEP
Scientific paper
10.1088/1126-6708/2007/03/010
We study the reduction of the Free Differential Algebra (FDA) of D=11 supergravity to an ordinary algebra. We show that in flat background and with vanishing three-form field strength, the corresponding minimal FDA can be reduced to an Inonu-Wigner contraction of Sezgin's M-Algebra. We also prove that in flat background but with a non trivial three-form field strength, the bosonic FDA can be reduced to the lowest levels of E11. This result suggests that the E11 symmetries, which act on perturbative states as well, are already encoded in the D=11 FDA and are made explicit when the theory is formulated on a enlarged group manifold.
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