Asymmetric brane instantons

TL;DR

This paper explores various asymmetric brane instanton solutions in a 5D Einstein bulk, analyzing their Euclidean actions and implications for quantum gravity and induced gravity models.

Contribution

It introduces a model of asymmetric brane instantons with detailed analysis of junction conditions and Euclidean actions, expanding understanding of brane configurations in quantum gravity.

Findings

Computed Euclidean actions for different instanton paths

Compared actions of branes with asymmetric bulk properties

Analyzed the impact of different cosmological constants on instanton configurations

Abstract

We investigate all the brane instanton solutions--an Einstein brane inhabiting at different positions in 5-dimensional negative curvature Einstein bulk. We construct a brane instanton model consisting of a brane with asymmetric bulk along two sides of the brane. And the junction condition of the resulting space-time is analyzed in the frame of induced gravity. In spirits of quantum gravity of path integral formulism we calculate the Euclidean actions on three canonical paths and then compare the Euclidean actions of different instantons per unit 4-volume. We also compare the Euclidean actions per unit 4-volume of instantons consisting of a brane gluing a fixed half with other halves possessing different cosmological constants.