E theory in seven dimensions

Abstract

We construct the nonlinear realisation of the semi-direct product of [Formula: see text] and its vector representation in its decomposition into the subalgebra [Formula: see text] to find a seven-dimensional theory. The resulting equations of motion essentially follow from the Dynkin diagram of [Formula: see text] and if one restricts them to contain only the usual fields of supergravity and the derivatives with respect to the usual coordinates of space–time then these are the equations of motion of seven-dimensional supergravity.