Induced Field Theory on the Brane World - Gravity, Extrinsic Curvature, and Gauge Fields

Details Induced Field Theory on the Brane World - Gravity, Extrinsic Curvature, and Gauge Fields Induced Field Theory on the Brane World - Gravity, Extrinsic Curvature, and Gauge Fields

2000-08-17

arxiv.org/abs/hep-th/0008133v1

Mod.Phys.Lett. A15 (2000) 2017-2026

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, no figures

Scientific paper

10.1142/S0217732300002590

We show how the gravity, extrinsic curvature, and gauge field theories are induced on dynamically localized brane world. They should obey the Gauss-Codazzi-Ricci equation in addition to their own equations of motion. As an example, we derive the solitonic solution for curved domain wall in five dimensions in terms of gravity and extrinsic curvature fields of the brane, and then derive the effective action for their field theory on the brane.

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