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

Abstract

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.

5 pages, no figures

References in corpus (4)

• An Alternative to Compactification
• An exotic class of Kaluza-Klein models
• Inflation in the five-dimensional universe with an orbifold extra dimension
• Kaluza-Klein Thresholds and Regularization (In)dependence

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• Tensor gauge field localization on a string-like defect
• Domain walls in Born-Infeld-dilaton background
• Dynamic domain walls in Maxwell-Dilaton background
• The Casimir force on a piston at finite temperature in Randall-Sundrum models
• General covariant geometric momentum, gauge potential and a Dirac fermion on a two-dimensional sphere
• Exact Scale Invariance of Composite-Field Coupling Constants
• General Solutions of Braneworlds under the Schwarzschild Ansatz
• Semi-realistic Bouncing Domain Wall Cosmology