Stability and Fluctuations on Walls in N=1 Supergravity

Details Stability and Fluctuations on Walls in N=1 Supergravity Stability and Fluctuations on Walls in N=1 Supergravity

2003-07-22

arxiv.org/abs/hep-th/0307206v1

Nucl.Phys. B673 (2003) 98-130

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 7 figures

Scientific paper

10.1016/j.nuclphysb.2003.09.025

The recently found non-BPS multi-wall configurations in the N=1 supergravity in four dimensions is shown to have no tachyonic scalar fluctuations without additional stabilization mechanisms. Mass of radion (lightest massive fluctuation) is found to be proportional to $Lambda {\rm e}^{-\pi\Lambda R/2}$, where $\Lambda $ is the inverse width of the wall and $ R$ is the radius of compactified dimension. We obtain localized massless graviton and gravitino forming a supermultiplet with respect to the Killing spinor. The relation between the bulk energy density and the boundary energy density (cosmological constants) is an automatic consequence of the field equation and Einstein equation. In the limit of vanishing gravitational coupling, the Nambu-Goldstone modes are reproduced.

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