FROM ANTI-DESITTER SPACE TO MINKOWSKI SPACE VIA VACUUM FLUCTUATION

We seek a solution of the quantum-corrected field equations for eleven-dimensional supergravity compactified on a seven-sphere. We show that it is plausible that such a solution admits a geometrical background which is the product of a flat Minkowski space with a round seven-sphere. The quantum corr...

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Bibliographic Details
Main Authors: Candelas, P, Raine, D
Format: Journal article
Language:English
Published: 1984
Description
Summary:We seek a solution of the quantum-corrected field equations for eleven-dimensional supergravity compactified on a seven-sphere. We show that it is plausible that such a solution admits a geometrical background which is the product of a flat Minkowski space with a round seven-sphere. The quantum corrections plays a crucial role in allowing us to avoid the situation that obtains at the tree level, namely that the four-dimentional space-time resulting in the compactification of the eleven-dimensional theory is an anti-de Sitter space-time with radius of curvature comparable to that of the "internal" space. © 1984.