Deformed defects with applications to braneworlds

TL;DR

This paper extends the deformation procedure for defects by allowing complex deformation functions and solution-dependent deformations, enabling new applications in high energy physics.

Contribution

It introduces two novel extensions to the deformation method, enhancing its flexibility and applicability in modeling defects in high energy physics.

Findings

Extended deformation functions to complex values.

Deformation dependence on the defect solution.

New models with potential applications in braneworld scenarios.

Abstract

In this work we investigate two distinct extensions of the deformation procedure introduced in former works on deformed defects. The first extension deals with the use of deformation functions which can assume complex values, and the second concerns the possibility of making the deformation dependent on the defect solution of the model used to implement the deformation. These two extensions bring the deformation procedure to a significantly higher standard and allow to build interesting results, as we explicitly illustrate with examples of current interest to high energy physics.