## Applied NThese lectures give an elementary introduction to the important recent developments of the applications of N=1 supergravity to the construction of unified models of elementary particle interactions. Topics covered include couplings of supergravity with matter, spontaneous symmetry breaking and the super-higgs effect, construction of supergravity unified models, and the phenomenon of SU(2) x U(1) electroweak-symmetry breaking by supergravity. Experimental consequences of N-1 supergravity unified theory, in particular, the possible supersymmetric decays of the Wñ and Z0 bosons, are also discussed. The treatment presented encompasses a broad class of models, both of the tree breaking as well as the radiative breaking of SU(2) x U(1). Rules of tensor calculus and the explicit construction of the Lagrangian of the Supergravity-matter couplings are given in the appendix. |

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### Contents

Introduction | 11 |

Supergravity Matter Couplings and Effective Potential | 17 |

Spontaneous Symmetry Breaking and SuperHiggs Effect | 25 |

Supergravity Models | 31 |

SU2XU1 Breaking by Supergravity | 41 |

Radiative Breaking of SU2XU1 | 49 |

Supersymmetric Decays of W and Z Bosons | 65 |

Conclusion | 77 |

101 | |

Figure Captions | 110 |

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### Common terms and phrases

analysis arbitrary arising auxiliary fields bosons Branching ratios breakdown of SU(2)XU(1 breaking of SU(2)XU(1 chiral multiplet components coupling constants decay modes direct gaugino masses discussed electro-weak energy effective potential extrema equations F-type fermion function gauge group gauge heirarchy gauge invariant given in Eq global gluino gravitino GUT mass GUT models GUT sector hadrons heavy fields Higgs doublets Higgsinos Lagrangian lepton low energy domain low energy effective Majorana spinors mass scale minimization Minkowskian vacuum multiple multiplets with Majorana neutral parameter particle partners photino mass physical R.G. models renormalization group model scalar fields selectron sets of auxiliary singlet field solutions spontaneous breaking super-Higgs effect supergravitational interactions supergravity GUT supergravity models supergravity unified theories superpotential supersymme supersymmetry SUSY symmetry T.B. models theoriea top quark top quark mass tree breaking model tree level Twilight Zino vector multiplet vertex VEVs Weyl spinor Yukawa interactions Z boson Zino decay

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