AdS_5 Supersymmetry in N=1 Superspace

TL;DR

This paper develops a framework for supersymmetric matter couplings in five-dimensional anti-de Sitter space using N=1 superspace, revealing geometric constraints on hypermultiplet scalar fields.

Contribution

It introduces a method to construct supersymmetric matter couplings in AdS_5 using N=1 superspace, highlighting the geometric structure required for hypermultiplets.

Findings

Hypermultiplet scalars must lie on a hyper-Kahler manifold with a specific holomorphic Killing vector.

The construction ensures supersymmetry in AdS_5 backgrounds.

Provides geometric conditions for matter couplings in AdS_5 supersymmetric theories.

Abstract

We use N=1 superspace to construct the supersymmetric matter couplings of vector and hyper multiplets in a five-dimensional anti-de Sitter spacetime background. For hypermultiplets, we find that AdS_5 supersymmetry requires the scalar fields to lie on a hyper-Kahler manifold endowed with a certain type of holomorphic Killing vector.