Abstract

The calculation of the static potential (Casimir energy) forp-brane compactified on Kaluza-Klein space-times of the formTq×Пα\(S^{N_\alpha} \)×Пβ(H2/Γβ)×RD−p,T=S1,\(S^{N_\alpha} \) is aNα-dimensional sphere,H2/Γβ is a compact Riemannian surface of genusgβ>1, is presented. The analysis is given in the framework of one-loop effective potential approximation. It is shown that quantum behaviour of the potential and its extrema depend on the choice of twist.

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