We study the possibility of complete family unification in higher-dimensional space-time. Three families of matters in SU 5 grand unified theory are derived from a single bulk multiplet of the SU N gauge group (N 9) in the framework of S 1 =Z 2 orbifold models. In the case of the direct orbifold breaking down to the standard model gauge group, there are models in which bulk fields from a single multiplet and a few brane fields compose three families of quarks and leptons.
We study equivalence classes of boundary conditions in a gauge theory on the orbifold T 2 /Z 3 . Orbifold conditions and those gauge transformation properties are given and the gauge equivalence is understood by the Hosotani mechanism. Mode expansions are carried out for six-dimensional Z 3 singlet fields and a Z 3 triplet field, and the one-loop effective potential for Wilson line phases is calculated. * ) In four-dimensional heterotic string models, extra colored Higgs are projected by the Wilson line mechanism. 4) * * * ) See Ref. 7) for the breakdown of gauge symmetry on S 1 /Z 2 by the Hosotani mechanism. †) The six-dimensional extension of Z 3 orbifold was initially introduced into the construction of four-dimensional heterotic string models. 11) at Florida International University on June 2, 2015 http://ptp.oxfordjournals.org/ Downloaded from * ) We take the SU(3) lattice as the unit lattice. On the estimation of physical quantities, we use physical sizes such as e 1 = 2πR and e 2 = 2πRω. at Florida International University on June 2, 2015 http://ptp.oxfordjournals.org/ Downloaded from * ) If fields and their superpartners yield different BCs, the Scherk-Schwarz mechanism can work. 12) at Florida International University on June 2, 2015 http://ptp.oxfordjournals.org/ Downloaded from * ) The dynamical rearrangement of QCD theta parameter was studied in a five-dimensional gauge theory with a mixed Chern-Simons term. 13) at Florida International University on June 2, 2015 http://ptp.oxfordjournals.org/ Downloaded from * ) For convenience, θ 2 is denoted though it is not an independent parameter. Note that the relation θ 0 θ 1 θ 2 = 1 stems from T Φ [Θ 0 ]T Φ [Θ 1 ]T Φ [Θ 2 ] = I. at Florida International University on June 2, 2015 http://ptp.oxfordjournals.org/ Downloaded fromUsing the equivalence relations (2 . 40) and (2 . 41), we can derive the following equivalence relations in the SU (N ) gauge theory:[l p , m p , n p ; l q , m q , n q ; l r , m r , n r ]
Sum rules among superparticle masses are derived under the assumption that models beyond the MSSM are four-dimensional supersymmetric grand unified theories or five-dimensional supersymmetric orbifold grand unified theories. Sfermion sum rules are classified into four types and those sum rules can be useful probes of the MSSM and beyond. IntroductionThe supersymmetric (SUSY) extension of the standard model has been attractive as physics beyond the weak scale.[1] The naturalness problem can be partially solved by the introduction of supersymmetry. The gauge coupling unification can be realized within the framework of the minimal supersymmetric standard model (MSSM), under the assumption of 'desert' between the TeV scale and the unification scale.[2] If the magnitude of soft SUSY breaking parameters is the weak or TeV scale, superpartners will be discovered at the Large Hadron Collider (LHC) in the near future. Then a next tast is to understand the structure of the MSSM (or an extension of *
We derive sum rules among scalar masses for various boundary conditions of the hidden-visible couplings in the presence of hidden sector dynamics and show that they still can be useful probes of the MSSM and beyond.
We derive relations among sfermion masses based on orbifold family unification models. Sfermion mass relations are specific to each model and can be useful for a selection of realistic model.Comment: 13 pages, several references adde
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