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

P. E. Brandyshev

Ivanovo State University, Ivanovo, Russia

Abstract: We investigate the Freund–Rubin–Englert spontaneous compactification mechanism. We consider a low-energy 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 eleven-dimensional $N=1$ supergravity. We find cosmological-type vacuum solutions corresponding to Hubble's law.

Keywords: eleven-dimensional supergravity, spontaneous compactification, cosmology.

Received: 18.10.2015
Revised: 08.11.2015

DOI: 10.4213/tmf9069

 English version: Theoretical and Mathematical Physics, 2016, 188:1, 1099–1108

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