Braneworld Instantons

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.