Dilaton Dynamics in (A)dS_5 x S^5
Abstract
We investigate a stabilization of extra dimensions in a ten-dimensional Kaluza-Klein theory and IIB supergravity. We assume (A)dS_5 x S^5 compactifcation, and calculate quantum effects to find an effective potential for the radius of internal space. The effective potential has a minimum, and if the universe is created on the top of the potential hill, the universe evolves from dS_5 to AdS_5 after exponential expansion. The internal space S^5 stays to be small and its radius becomes constant. Our model in IIB supergravity contains the 4-form gauge field with classically vacuum expectation value, which is role of ten-dimensional cosmological constant. If the universe evolves into AdS, the five-dimensional Randall & Sundrum setup with stabilized dilaton is obtained from the type IIB supergravity model.
Keywords
Cite
@article{arxiv.hep-th/0308137,
title = {Dilaton Dynamics in (A)dS_5 x S^5},
author = {Kunihito Uzawa and Kei-ichi Maeda},
journal= {arXiv preprint arXiv:hep-th/0308137},
year = {2009}
}
Comments
16 pages, 4 figures, RevTeX4. Accepted for publication in Physical Review D