Scalar fields, bent branes, and RG flow

Abstract

This work deals with braneworld scenarios driven by real scalar fields with standard dynamics. We show how the first-order formalism which exists in the case of four dimensional Minkowski space-time can be extended to de Sitter or anti-de Sitter geometry in the presence of several real scalar fields. We illustrate the results with some examples, and we take advantage of our findings to investigate renormalization group flow. We have found symmetric brane solutions with four-dimensional anti-de Sitter geometry whose holographically dual field theory exhibits a weakly coupled regime at high energy.

22 pages, 7 figures

References in corpus (3)

• Hidden supersymmetry of domain walls and cosmologies
• First-order formalism for bent brane
• Heavy quark potential at finite temperature from gauge/string duality

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• First-order framework and domain-wall/brane-cosmology correspondence
• Orbit-based deformation procedure for two-field models
• Construction of topological defect networks with complex scalar fields
• First-order formalism for the quintom model of dark energy
• Holographic Description of Heavy-Quark Potentials in an Inflationary Braneworld Scenario