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