
TL;DR
This paper derives equations for braneworld instantons, analyzes false vacuum decay, constructs toy models, and discusses implications for braneworld geometries and stability.
Contribution
It provides explicit derivations of braneworld instantons and computes decay amplitudes, advancing understanding of vacuum decay in higher-dimensional models.
Findings
Derived general equations of motion for braneworlds with domain walls
Computed decay amplitudes for false vacuum transitions
Constructed a toy ekpyrotic instanton model
Abstract
We derive the general equations of motion for a braneworld containing a (localized) domain wall. Euclideanization gives the geometry for braneworld false vacuum decay. We explicitly derive these instantons and compute the amplitude for false vacuum decay. We also show how to construct a toy ekpyrotic instanton. Finally, we comment on braneworlds with a compact spatial direction and the adS soliton.
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