Abstract
In the present paper we have obtained unique effective action ford=5 gravity on the backgroundM 4×s 1, whereM 4 is the Minkowski space,S 1 is a one-sphere. The effective action is calculated forN=1d=11 supergravity on the backgroundR n xT 11−n whereR n is then-dimensional curved space, Td is thed-dimensional torus. A mechanism of inducing the Einstein gravity with zero-Λ-term is proposed.
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We thank A. O. Barvinsky, E. S. Fradkin, I. V. Tyutin and A. A. Tseytlin for helpful discussions. We are grateful to L. G. Fonova for technical assistance.
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Bukhbinder, I.L., Odintsov, S.D. Effective action in multidimensional (Super)gravities. Czech J Phys 38, 585–590 (1988). https://doi.org/10.1007/BF01605961
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DOI: https://doi.org/10.1007/BF01605961