Wall Solution with Weak Gravity Limit in Five Dimensional Supergravity

TL;DR

This paper presents exact BPS wall solutions in five-dimensional supergravity, including a Randall-Sundrum-like model without fine-tuning, and explores various warp factor behaviors through potential deformations.

Contribution

It provides new exact solutions for BPS walls in five-dimensional supergravity with gravitational deformations of the Eguchi-Hanson model, including a Randall-Sundrum limit.

Findings

Warp factor decreases at both infinities in the thin wall limit.

Randall-Sundrum model obtained without fine-tuning.

Wall solutions with flat or increasing warp factors achieved by potential deformation.

Abstract

In five-dimensional supergravity, an exact solution of BPS wall is found for a gravitational deformation of the massive Eguchi-Hanson nonlinear sigma model. The warp factor decreases for both infinities of the extra dimension. Thin wall limit gives the Randall-Sundrum model without fine-tuning of input parameters. We also obtain wall solutions with warp factors which are flat or increasing in one side, by varying a deformation parameter of the potential.