A constraint on the gauge parameters of E theory is proposed that closes the algebra of local transformations; in the IIA level-zero sector it differs from the section conditions of double field theory.
E theory in seven dimensions
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abstract
We construct the non-linear realisation of the semi-direct product of E11 and its vector representation in its decomposition into the subalgebra GL(7)x SL(5) to find a seven dimensional theory. The resulting equations of motion essentially follow from the Dynkin diagram of E11 and if one restricts them to contain only the usual fields of supergravity and the derivatives with respect to the usual coordinates of spacetime then these are the equations of motion of seven dimensional supergravity.
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Local symmetry and extended spacetime
A constraint on the gauge parameters of E theory is proposed that closes the algebra of local transformations; in the IIA level-zero sector it differs from the section conditions of double field theory.