TL;DR
This paper investigates the stability of inter-brane distances in 5D models with higher-order scalar kinetic terms, deriving conditions for stability and demonstrating stable configurations without scalar potentials or cosmological constants.
Contribution
It introduces new stability conditions for brane models with higher-order kinetic terms and identifies non-standard boundary conditions ensuring hermitian Sturm-Liouville operators.
Findings
Stable brane configurations can exist without scalar potentials.
Derived sufficient and necessary conditions for stability.
Identified a class of boundary conditions with hermitian operators.
Abstract
Stabilization of inter-brane distance is analyzed in 5-dimensional models with higher-order scalar kinetic terms. Equations of motion and boundary conditions for background and for scalar perturbations are presented. Conditions sufficient and (with one exception) necessary for stability are derived and discussed. It is shown that it is possible to construct stable brane configurations even without scalar potentials and cosmological constants. As a byproduct we identify a large class of non-standard boundary conditions for which the Sturm-Liouville operator is hermitian.
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