BPS Wall Solutions in Five Dimensional Supergravity

TL;DR

This paper presents exact BPS wall solutions in five-dimensional supergravity, demonstrating warp factors that decrease at both infinities without fine-tuning, expanding understanding of brane-world models.

Contribution

It introduces a gravitational deformation of the massive Eguchi-Hanson sigma model to find exact BPS wall solutions with novel warp factor behaviors.

Findings

Warp factor decreases at both infinities without fine-tuning.

Solutions include flat or increasing warp factors by adjusting parameters.

No need for boundary-bulk cosmological constant fine-tuning.

Abstract

We find an exact solution of BPS wall in five-dimensional supergravity using a gravitational deformation of the massive Eguchi-Hanson nonlinear sigma model. The warp factor decreases for both infinities of the extra dimension. Our solution requires no fine-tuning between boundary and bulk cosmological constants, in contrast to the Randall-Sundrum model. Wall solutions are also obtained with warp factors which are flat or increasing in one side by varying a deformation parameter.