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Teoreticheskaya i Matematicheskaya Fizika, 2016, Volume 188, Number 1, Pages 158–168
DOI: https://doi.org/10.4213/tmf9069 (Mi tmf9069) 		 
Spontaneous compactification of eleven-dimensional supergravity with higher-order corrections in the curvature

P. E. Brandyshev

Ivanovo State University, Ivanovo, Russia
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DOI: https://doi.org/10.4213/tmf9069
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
English version:
Theoretical and Mathematical Physics, 2016, Volume 188, Issue 1, Pages 1099–1108
DOI: https://doi.org/10.1134/S0040577916070084
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: P. E. Brandyshev, “Spontaneous compactification of eleven-dimensional supergravity with higher-order corrections in the curvature”, TMF, 188:1 (2016), 158–168; Theoret. and Math. Phys., 188:1 (2016), 1099–1108
Citation in format AMSBIB
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