Supersymmetry of RS bulk and brane

TL;DR

This paper reviews the formulation of supersymmetric actions in five-dimensional spaces with domain walls, focusing on the Randall-Sundrum scenario, and discusses solutions with varying degrees of preserved supersymmetry.

Contribution

It provides a framework for constructing supersymmetric theories on singular spaces with domain walls, applicable to the RS model, including solutions with different supersymmetry preservation.

Findings

Supersymmetry can be maintained despite singularities at domain walls.

Solutions with full and partial supersymmetry preservation are constructed.

One brane can be pushed to infinity in certain supersymmetric configurations.

Abstract

We review the construction of actions with supersymmetry on spaces with a domain wall. The latter objects act as sources inducing a jump in the gauge coupling constant. Despite these singularities, supersymmetry can be formulated, maintaining its role as a square root of translations in this singular space. The setup is designed for the application in five dimensions related to the Randall-Sundrum (RS) scenario. The space has two domain walls. We discuss the solutions of the theory with fixed scalars and full preserved supersymmetry, in which case one of the branes can be pushed to infinity, and solutions where half of the supersymmetries are preserved.