Supersymmetric Generalisation of the Motor Theory Spectrum of Superpartners, Dark Matter, and Radion Stabilisation

In this work,we construct a supersymmetric extension of the motor theory. Weintroduce 5D superelds compactied on a circle with motor number n. We obtainthe spectrum of superpartners for all Standard Model elds: sfermions (squarks,sleptons) , supersymmetric partners of gauge bosons (gluino, wino, bino) , and hig-gsinos. The masses of superpartners are determined by the motor radius Rµ, theradion Φ, and the SUSY breaking parameter, which is related to the radion vacuumexpectation value. It is shown that for Φ0 ∼ 10−15 (from the GUT scale) , the super-partner masses naturally lie in the 110 TeV range, consistent with LHC constraintsand giving the correct relic density of dark matter (the lightest neutralino) . Radionstabilisation via SUSY contributions to the eective potential is also discussed.