Supergravity Inspired Warped Compactifications and Effective Cosmological Constants

Details Supergravity Inspired Warped Compactifications and Effective Cosmological Constants Supergravity Inspired Warped Compactifications and Effective Cosmological Constants

1999-10-08

arxiv.org/abs/hep-th/9910081v3

Nucl.Phys. B578 (2000) 259-276

Physics

High Energy Physics

High Energy Physics - Theory

17 pages, LaTeX, 1 figure. v2: references added and a comment about D-8 brane of massive IIA sugra included v3: improved argum

Scientific paper

10.1016/S0550-3213(00)00157-7

We propose a supergravity inspired derivation of a Randall-Sundrum's type action as an effective description of the dynamics of a brane coupled to the bulk through gravity only. The cosmological constants in the bulk and on the brane appear at the classical level when solving the equations of motion describing the bosonic sector of supergravities in ten and eleven dimensions coupled to the brane. They are related to physical quantities like the brane electric charge and thus inherit some of their physical properties. The most appealing property is their quantization: in d_\perp extra dimensions, Lambda_brane goes like N and Lambda_bulk like N^{2/(2-d_perp)}. This dynamical origin also explains the apparent fine-tuning required in the Randall-Sundrum scenario. In our approach, the cosmological constants are derived parameters and cannot be chosen arbitrarily; instead they are determined by the underlying Lagrangian. Some of the branes we construct that support cosmological constant in the bulk have supersymmetric properties: D3-branes of type IIB superstring theory provide an explicit example.

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