Scalar fields, bent branes, and RG flow

TL;DR

This paper extends the first-order formalism for scalar field-driven braneworld scenarios to curved geometries and explores their holographic duals, revealing solutions with anti-de Sitter geometry and insights into RG flow.

Contribution

It introduces an extension of the first-order formalism to curved branes with multiple scalar fields and analyzes their holographic RG flow properties.

Findings

Found symmetric brane solutions with AdS geometry

Identified weakly coupled regimes at high energy in dual field theories

Extended formalism to de Sitter and anti-de Sitter geometries

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.