BPS Supermultiplets in Five Dimensions

TL;DR

This paper classifies BPS supermultiplets in five-dimensional supersymmetry, identifying distinct classes for N=4 and N=8, with applications to super-Yang-Mills, supergravity, and string theories.

Contribution

It provides a detailed classification of BPS representations in 5D supersymmetry, including new multiplet types for different supersymmetry counts.

Findings

Two classes of 1/2 BPS multiplets for N=4

Three classes of 1/2 BPS multiplets for N=8

Applications to super-Yang-Mills, supergravity, and string theories

Abstract

BPS representations of 5-dimensional supersymmetry algebras are classified. For BPS states preserving 1/2 the supersymmetry, there are two distinct classes of multiplets for N=4 supersymmetry and three classes for N=8 supersymmetry. For N=4 matter theories, the two 1/2 supersymmetric BPS multiplets are the massive vector multiplet and the massive self-dual 2-form multiplet. Some applications to super-Yang-Mills, supergravity and little string theories are considered.