Continuum Superpartners from Supersymmetric Unparticles

TL;DR

This paper explores supersymmetric theories with conformal sectors and unparticles, demonstrating how a soft-wall can create a spectral gap and lead to novel superpartner signatures at the LHC.

Contribution

It introduces a framework using AdS/CFT to generate a gap in the unparticle spectrum and shows how supersymmetry breaking results in bosonic continuum superpartners.

Findings

A soft-wall creates a spectral gap separating zero-modes from the continuum.

Supersymmetry breaking can produce bosonic continuum superpartners.

Potential for novel LHC signatures from these extended models.

Abstract

We examine supersymmetric theories with approximately conformal sectors. Without an IR cutoff the theory has a continuum of modes, which are often referred to as "unparticles." Making use of the AdS/CFT correspondence we find that in the presence of a soft-wall, a gap in the spectrum can arise, separating the zero-modes from the continuum modes. In some cases there are also discrete massive levels in the gap. We also show that when supersymmetry is broken the superpartner of a quark or lepton may simply be a bosonic continuum above a gap. Such extensions of the standard model have novel signatures at the LHC.