Stability and Fluctuations on Walls in N=1 Supergravity

Abstract

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 $Lambda{\mathrm{e}}^{-\pi \Lambda R/2}$, 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.

30 pages, 7 figures

References in corpus (5)

• Brane to brane gravity mediation of supersymmetry breaking
• Supergravity loop contributions to brane world supersymmetry breaking
• Wall Solution with Weak Gravity Limit in Five Dimensional Supergravity
• BPS Multi-Walls in Five-Dimensional Supergravity
• Exactly solved BPS wall and winding number in N=1 Supergravity

Cited by in corpus (12)

• Fermions on Thick Branes in the Background of Sine-Gordon Kinks
• Manifestly Supersymmetric Effective Lagrangians on BPS Solitons
• Webs of Walls
• Superfield description of 5D supergravity on general warped geometry
• Solvable Models of Domain Walls in N=1 Supergravity
• Dynamical radion superfield in 5D action
• BPS Multi-Walls in Five-Dimensional Supergravity
• Radius Stabilization in a Supersymmetric Warped Compactification
• Non-BPS Walls and Their Stability in 5D Supersymmetric Theory
• Localizing Gauge Fields on a Topological Abelian String and the Coulomb Law
• Non-Abelian Gauge Field Localization on Walls and Geometric Higgs Mechanism
• Geometry mediated SUSY breaking