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Dilaton Dynamics in (A)dS_5 x S^5

Kunihito Uzawa·Kei-ichi Maeda
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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.

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Kunihito Uzawa, Kei-ichi Maeda. 2003-08-21. Dilaton Dynamics in (A)dS_5 x S^5. https://doi.org/10.1103/physrevd.68.084017

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