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Conformal Field Theory

  • Textbook
  • © 1997

Overview

Authors:
  1. Philippe Francesco

    1. Commissariat l’Énergie Atomique Centre d’Études de Saclay, Service de Physique Théorique, Gif-sur-Yvette, France

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  2. Pierre Mathieu

    1. Département de Physique, Université Laval, Québec, Canada

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  3. David Sénéchal

    1. Département de Physique, Université de Sherbrooke, Sherbrooke, Canada

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Part of the book series: Graduate Texts in Contemporary Physics (GTCP)

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xxi
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  2. Introduction

    1. Front Matter

      Pages 1-1
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    2. Introduction

      • Philippe Di Francesco, Pierre Mathieu, David Sénéchal
      Pages 3-14

    3. Quantum Field Theory

      • Philippe Di Francesco, Pierre Mathieu, David Sénéchal
      Pages 15-59

    4. Statistical Mechanics

      • Philippe Di Francesco, Pierre Mathieu, David Sénéchal
      Pages 60-92

  3. Fundamentals

    1. Front Matter

      Pages 93-93
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    2. Global Conformal Invariance

      • Philippe Di Francesco, Pierre Mathieu, David Sénéchal
      Pages 95-110

    3. Conformal Invariance in Two Dimensions

      • Philippe Di Francesco, Pierre Mathieu, David Sénéchal
      Pages 111-149

    4. The Operator Formalism

      • Philippe Di Francesco, Pierre Mathieu, David Sénéchal
      Pages 150-199

    5. Minimal Models I

      • Philippe Di Francesco, Pierre Mathieu, David Sénéchal
      Pages 200-238

    6. Minimal Models II

      • Philippe Di Francesco, Pierre Mathieu, David Sénéchal
      Pages 239-293

    7. The Coulomb-Gas Formalism

      • Philippe Di Francesco, Pierre Mathieu, David Sénéchal
      Pages 294-334

    8. Modular Invariance

      • Philippe Di Francesco, Pierre Mathieu, David Sénéchal
      Pages 335-408

    9. Finite-Size Scaling and Boundaries

      • Philippe Di Francesco, Pierre Mathieu, David Sénéchal
      Pages 409-438

    10. The Two-Dimensional Ising Model

      • Philippe Di Francesco, Pierre Mathieu, David Sénéchal
      Pages 439-486

  4. Conformal Field Theories with Lie-Group Symmetry

    1. Front Matter

      Pages 487-487
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    2. Simple Lie Algebras

      • Philippe Di Francesco, Pierre Mathieu, David Sénéchal
      Pages 489-555

    3. Affine Lie Algebras

      • Philippe Di Francesco, Pierre Mathieu, David Sénéchal
      Pages 556-616

    4. WZW Models

      • Philippe Di Francesco, Pierre Mathieu, David Sénéchal
      Pages 617-674

    5. Fusion Rules in WZW Models

      • Philippe Di Francesco, Pierre Mathieu, David Sénéchal
      Pages 675-718
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Keywords

About this book

Filling an important gap in the literature, this comprehensive text develops conformal field theory from first principles. The treatment is self-contained, pedagogical, and exhaustive, and includes a great deal of background material on quantum field theory, statistical mechanics, Lie algebras and affine Lie algebras. The many exercises, with a wide spectrum of difficulty and subjects, complement and in many cases extend the text. The text is thus not only an excellent tool for classroom teaching but also for individual study. Intended primarily for graduate students and researchers in theoretical high-energy physics, mathematical physics, condensed matter theory, statistical physics, the book will also be of interest in other areas of theoretical physics and mathematics. It will prepare the reader for original research in this very active field of theoretical and mathematical physics.

Authors and Affiliations

  • Commissariat l’Énergie Atomique Centre d’Études de Saclay, Service de Physique Théorique, Gif-sur-Yvette, France

    Philippe Francesco

  • Département de Physique, Université Laval, Québec, Canada

    Pierre Mathieu

  • Département de Physique, Université de Sherbrooke, Sherbrooke, Canada

    David Sénéchal

Bibliographic Information

  • Book Title: Conformal Field Theory

  • Authors: Philippe Francesco, Pierre Mathieu, David Sénéchal

  • Series Title: Graduate Texts in Contemporary Physics

  • DOI: https://doi.org/10.1007/978-1-4612-2256-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York, Inc. 1997

  • Hardcover ISBN: 978-0-387-94785-3Published: 13 December 1996

  • Softcover ISBN: 978-1-4612-7475-9Published: 17 September 2011

  • eBook ISBN: 978-1-4612-2256-9Published: 06 December 2012

  • Series ISSN: 0938-037X

  • Edition Number: 1

  • Number of Pages: XXI, 890

  • Topics: Theoretical, Mathematical and Computational Physics

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