5D Maximally Supersymmetric Yang-Mills in 4D Superspace: Applications

TL;DR

This paper reformulates 5D maximally supersymmetric Yang-Mills theory within 4D superspace, enabling supersymmetric model building and holographic applications such as generating Dirac soft masses and kinetic mixing at boundaries.

Contribution

It introduces a new formulation of 5D supersymmetric Yang-Mills in 4D superspace with boundary conditions, facilitating model building and holographic boundary effects.

Findings

Reformulation of 5D SYM in 4D superspace with boundary conditions

Application to holographic models generating soft masses

Boundary effective actions for kinetic mixing

Abstract

We reformulate 5D maximally supersymmetric Yang-Mills in 4D Superspace, for a manifold with boundaries. We emphasise certain features and conventions necessary to allow for supersymmetric model building applications. Finally we apply the holographic interpretation of a slice of AdS and show how to generate Dirac soft masses between external source fields, as well as kinetic mixing, as a boundary effective action.