Theory of gravitation, cosmology, general relativity, eleven-dimensional supergravity, Kaluza–Klein method, spontaneous compactification.
Main publications:
Brandyshev P. E., Frolov B. N., “Inflaton i pole Khiggsa v konformnoi teorii supergravitatsii”, Prostranstvo, vremya i fundamentalnye vzaimodeistviya, 2019, no. 2, 4–14
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
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