Gravity-induced weak symmetry breaking and supergravity
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We give here a review of the recent developments of grand unified theories based onN=1 supergravity. We start with a brief introduction of supersymmetry and supergravity multiplets, and then discuss the construction of an invariant Lagrangian. The phenomena of gravity-induced weak symmetry breaking via the super Higgs effect at the tree level, corresponding to the conventional SU(5) gauge group, are then considered. We then extend this idea to the larger group SO(10), showing two possible breaking chains given as (i) SO(10)×susy→SU(2) L ×U(1) R ×U(1) B-L ×SU(3) C (≡ G2113)×susy→U(1)em×SU(3) C (G LE ) predicting a secondZ-boson having mass lower than 1 TeV, and (ii) SO(10)×susy→SU(2) L ×SU(2) R ×SU(4)→(≡G224)×susy→ SU(2) L ×U(1) Y ×SU(3) C (≡ G213)×susy→U(1)em×SU(3) C . We also consider the radiative breaking of weak symmetry via renormalisation group effects, which predicts the top quark mass. Some experimental signatures of the supersymmetric particles are investigated and possible future outlook is discussed.
KeywordsSupergravity grand unification weak symmetric breaking
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