## Superstring Theory: 25th Anniversary EditionTwenty-five years ago, Michael Green, John Schwarz, and Edward Witten wrote two volumes on string theory. Published during a period of rapid progress in this subject, these volumes were highly influential for a generation of students and researchers. Despite the immense progress that has been made in the field since then, the systematic exposition of the foundations of superstring theory presented in these volumes is just as relevant today as when first published. Volume 2 is concerned with the evaluation of one-loop amplitudes, the study of anomalies and phenomenology. It examines the low energy effective field theory analysis of anomalies, the emergence of the gauge groups E8 x E8 and SO(32) and the four-dimensional physics that arises by compactification of six extra dimensions. Featuring a new Preface setting the work in context in light of recent advances, this book is invaluable for graduate students and researchers in high energy physics and astrophysics, as well as mathematicians. |

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### Contents

Openstring oneloop amplitudes | 9 |

A Jacobi G functions | 69 |

Oneloop diagrams in superstring theory | 75 |

A Traces of fermionic zero modes | 134 |

The gauge anomaly in type I superstring theory | 141 |

A An alternative regulator | 173 |

Functional methods in the lightcone gauge | 179 |

A The determinant of the Laplacian | 256 |

B The Jacobian for the conformal transformation | 265 |

Some differential geometry | 271 |

Lowenergy effective action | 307 |

Compactiﬁcation of higher dimensions | 363 |

Some algebraic geometry | 413 |

Models of lowenergy supersymmetry | 475 |

Bibliography | 553 |

### Other editions - View all

Superstring Theory 2 Volume Hardback Set: 25th Anniversary Edition Michael B. Green,John H. Schwarz,Edward Witten No preview available - 2012 |

### Common terms and phrases

algebra anomalies arbitrary arise bosonic boundary conditions calculation cancel chapter chiral closed strings closed-string compactiﬁcation complex manifold complex structure consider contribution coordinates corresponding couplings covariant deﬁned deﬁnition described dilaton Dirac operator discussion divergence Dolbeault cohomology equation Euler characteristic expression external particles factor fermions ﬁeld strength ﬁeld theory ﬁg ﬁnd ﬁnite ﬁrst formula four dimensions four-dimensional gauge ﬁeld gauge group gauge invariance given gravitational Green function GSO projection heterotic holomorphic holonomy hypersurface inﬁnite integral integrand interaction Kahler Kiihler Lett light-cone loop amplitude loop diagrams Lorentz low-energy mapped massless matrix metric modular invariance nonorientable nonzero Nucl obey one-loop open-string parameters Phys planar plane polynomial propagator quantum representation space space-time spin connection spinor string theory supergravity superpotential superstring theory supersymmetry tachyon tangent ten-dimensional tensor topological torus trace transformation tree diagrams unbroken vanish variables vector bundle vertex operators world sheet Yang—Mills zero modes