Wall Solution with Weak Gravity Limit in Five Dimensional Supergravity

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.

Figures (2)

• Figure 1: Discrete vacua. Parameters are taken to be $(g_0M^0, \Lambda) = (3, 1)$.
• Figure 2: Profile of warped metric. Parameters are taken to be $(g_0M^0, \Lambda, \kappa) = (3, 2, 0.1)$