## 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 Wą 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 | 39 |

Radiative Breaking of SU2XU1 | 53 |

Supersymmetric Decays of W and Z Bosons | 65 |

Conclusion | 77 |

101 | |

Figure Captions | 110 |

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### Common terms and phrases

analysis arising auxiliary fields bosons Branching ratios chiral multiplets components coupling constants direct gaugino masses electro-weak energy effective potential extrema equations F-type fermion function gauge group gauge heirarchy gauge invariant global supersymmetry gluino gravitational loop gravitino gravitino mass GUT mass GUT models GUT sector GUT theories hadrons heavy fields Lagrangian lepton loop corrections low energy domain low energy effective Majorana spinors mass scale matrix minimization Minkowskian vacuum multiple neutral pair of Higgs parameter particle photino mass physical Planck mass R.G. models renormalization group scalar fields singlet field solutions squark and selectron super super-Higgs effect supergravitational interactions supergravity GUT supergravity models supergravity unified theories superpo tential superpotential supersymme supersymmetry SUSY theories symmetry T.B. models top quark top quark mass tree breaking model tree level Twilight Zino UFO events vector multiplet VEVs Weyl spinor Wino and Zino Yukawa interactions Z boson Zino decay

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