Spontaneous compactification of eleven-dimensional supergravity with higher-order corrections in the curvature

Abstract

We investigate the Freund–Rubin–Englert spontaneous compactification mechanism. We consider a lowenergy effective action for a supermembrane in eleven dimensions with terms of the fourth order in curvature taken into account. From that action, we obtain equations of motion for the bosonic sector of elevendimensional N = 1 supergravity. We find cosmological-type vacuum solutions corresponding to Hubble’s law.