
TL;DR
This paper explores supersymmetric extensions of the Standard Model featuring approximate conformal sectors, where superpartners form a continuum spectrum above a gap, leading to unique collider signatures.
Contribution
It introduces a model where continuum superpartners arise from softly broken conformal symmetry using AdS/CFT with a soft wall, differing from traditional discrete spectra.
Findings
Continuum superpartners can exist above a gap in non-confining conformal sectors.
Collider signals of continuum superpartners are significantly different from standard SUSY scenarios.
The model employs a warped extra dimension with a soft wall to realize the continuum spectrum.
Abstract
In an exact conformal theory there is no particle. The excitations have continuum spectra and are called "unparticles" by Georgi. We consider supersymmetric extensions of the Standard Model with approximate conformal sectors. The conformal symmetry is softly broken in the infrared which generates a gap. However, the spectrum can still have a continuum above the gap if there is no confinement. Using the AdS/CFT correspondence this can be achieved with a soft wall in the warped extra dimension. When supersymmetry is broken the superpartners of the Standard Model particles may simply be a continuum above gap. The collider signals can be quite different from the standard supersymmetric scenarios and the experimental searches for the continuum superpartners can be very challenging.
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