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Dilaton Stabilization in (A)dS Spacetime with Compactified Dimensions
Author(s) -
Kunihito Uzawa
Publication year - 2003
Publication title -
progress of theoretical physics
Language(s) - English
Resource type - Journals
eISSN - 1347-4081
pISSN - 0033-068X
DOI - 10.1143/ptp.110.457
Subject(s) - physics , dilaton , spacetime , mathematical physics , supergravity , extra dimensions , de sitter universe , cosmological constant , scalar (mathematics) , curvature , kaluza–klein theory , theoretical physics , classical mechanics , universe , supersymmetry , quantum mechanics , geometry , mathematics
We investigate dilaton stabilization in a higher-dimensional theory. Thebackground geometry is based on an eleven-dimensional Kaluza-Klein/supergravitymodel, which is assumed to be a product of four-dimensional de Sitter (dS_4)spacetime and a seven sphere. The dilaton potential has a local minimumresulting from contributions of the cosmological constant, the curvature of theinternal spacetime and quantum effects of the background scalar, vector,spinor, and tensor fields. The dilaton settles down to the local minimum, andthe scale of the extra dimensions eventually become time independent. Ourfour-dimensional universe evolves from dS_4 into AdS_4 after stabilization ofthe extra dimension.Comment: 43 pages, 12 figures, PTPTeX. Accepted for publication in Progress of Theoretical Physic

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