Abstract
The one-loop effective action (EA) for arbitrary supersymmetric theory with broken supersymmetry on the background Rb × Td−n, where Rn, Td are n-dimensional curved space-time and d-dimensional torus, is obtained. Vilcovisky-De Witt EA in d = 5 (super)gravity on the background R4 × T1 at nonzero temperature is calculated with accuracy to linear curvature terms. Vacuum energy for open and closed superstrings with broken supersymmetry on the background M4 × T6, where M4 is Minkowski space, is also obtained. The question of the possibility of spontaneous compactification in models under consideration is analyzed.
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