Supersymmetric Casimir effect in flat homogeneous Clifford-Klein space-time

The Casimir effect in supersymmetric quantum field theories can occur in spacetime with nontrivial topologies, due to the existence of topologically nonequivalent field configurations. This possibility is considered for the example of the supersymmetric Wess-Zumino model and the N=1 supersymmetric Yang-Mills theory in flat homogeneous Clifford-Klein space-time with the topologies M_n= (S¹)ⁿ×R^4–n, n=1, 2, 3. The occurrence of the Casimir effect in this situation is interesting from the point of view of constructing sensible cosmological scenarios of the early stages of the evolution of the Universe, in particular, the expanding Universe scenario.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 101–106, April, 1987.