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1、UnbrokenDiscreteSupersymmetryGerhartSeidl∗Institutf¨urPhysikundAstrophysik,Universit¨atW¨urzburg,AmHubland,D97074W¨urzburg,GermanyWeconsideraninteractingtheorywithunbrokensupersymmetry.Differentfromusualsuper-symmetry,ourFermi-Bosesymmetryisdiscrete.Asaconsequence,t
2、hisallowstoputallexoticsuperpartnersintoahiddensectorwithoutbreakingthesymmetry.Inthehiddensector,thenewsymmetrypredictsLorentz-violatinginteractionsthatmaybeprobedgravitationallyforalowPlanckscale.Apartfromitspossiblerelevancefortheproblemofvacuumenergiesintheuniv
3、erse,themodelprovidesdarkmattercandidatesinthehiddensector.PACSnumbers:11.30.Fs,11.30.Ly,11.30.Pb,12.60.JvINTRODUCTIONinitsimplicationsforcosmologyrelatedtotheenergyandmattercompositionoftheuniverse.ThediscretenatureofourFermion-BosonsymmetrySupersymmetry(SUSY)[1–3
4、]iswidelyconsideredtheallowstohideallexoticsuperpartnerfieldsinahiddenchiefcandidateforphysicsbeyondtheStandardModelsector,implyingthatdiscreteSUSYcanbeleftunbroken,(SM)(see,e.g.,[4,5].)Actually,theunifieddescrip-therebyprotectingamassdegeneracybetweenthemat-tionoffe
5、rmionsandbosonsachievedinSUSYharborsterparticlesandtheirsuperpartners.Toaccountforanseveralremarkableanduniquefeaturesbothonthethe-interactingtheory,wediscussthesimplecaseofaYukawaoreticalaswellasonthephenomenologicalside,suchasinteraction.Thefermionsplusthebosonsm
6、ediatinganimprovedultravioletbehavior.Initslocalform,su-theYukawainteractiondefinethevisiblesectorcom-pergravity,offersaverypromisingpossibilityforunifyingmunicatingwiththehiddensectoronlygravitationally.gravitywithallotherforcesofNature.Infact,SUSYisThisstructurerou
7、ghlyresemblestheideaofgaugemir-theonlywaytocombinenon-triviallyexternalwithin-rormodels[10,11],butdiffersinessentialways.Intheternalsymmetries[6,7].WhenbrokenattheTeVscale,hiddensector,thediscreteSUSYpredictsnewLorentz-itprovidesasolutiontotheHiggsmassproblemandviol
8、atinginteractionsthataretransmittedtothevisibleleadstotheattractiveprospectofbecomingtestableatsectoronlygravitationallyatthelooplevelandcan,thus
