## Introduction to Supersymmetry and SupergravityThe publication of the first edition of "Introduction to Supersymmetry and Supergravity" was a remarkable success. This second edition contains a substantial amount of new material especially on two-dimensional supersymmetry algebras, their irreducible representations as well as rigid and local (i.e. supergravity) theories of 2-dimensional supersymmetry both in x-space and superspace. These theories include the actions for the superstring and the heterotic string. In addition, a chapter is devoted to a discussion on superconformal algebras in two dimensions and contains an account of super operator product expansion. |

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### Contents

Introduction | 1 |

Invariance of Simple Supergravity | 49 |

Theories of Extended Rigid Supersymmetry | 63 |

The Local Tensor Calculus and the Coupling of Supergravity | 74 |

Superspace | 84 |

Superspace Formulations of Rigid Supersymmetric Theories | 112 |

Superspace Formulation of N 1 Supergravity | 131 |

N 1 SuperFeynman Rules | 156 |

Ultraviolet Properties of the Extended Rigid Supersymmetric | 185 |

Spontaneous Breaking of Supersymmetry and Realistic Models | 203 |

Currents in Supersymmetric Theories | 215 |

TwoDimensional Supersymmetric Models | 232 |

Gauge Covariant Formulation of Strings | 244 |

An Explanation of our Choice of Conventions | 270 |

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### Common terms and phrases

Abelian anomalies anticommuting auxiliary fields Bianchi identities bosonic calculation central charge Chapter chiral multiplet chiral superfield commutator complex conjugation Consequently consider construct contains coordinate corresponding covariant derivatives define degrees of freedom dimension dimensional discussion equations of motion example fact factor fermionic field content field equations finite formulation function gauge group gauge invariant gauge transformation ghosts graphs helicity Hence implies infinities integral irreducible representation Lagrangian Lett linear loop Lorentz group Majorana condition Majorana spinor massless Noether non-renormalization non-zero Nucl off-shell on-shell one-loop parameter particles Phys Poincare group propagators quantized quantum reader renormalization representation of supersymmetry result rigid supersymmetry scalar soft terms space-time spin connection super super-Feynman rules supercharges superconformal supergravity theory supermultiplet superspace supersymmetric theories supersymmetry algebra supersymmetry transformations tensor calculus theorem transformation laws transformations of Eq vacuum vanish Wess-Zumino model Wess-Zumino multiplet x-space component fields Yang-Mills theory zero