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Low-Dimensional Applications of Quantum Field Theory

  • Book
  • © 1997

Overview

Editors:
  1. Laurent Baulieu

    1. CNRS and Université Pierre et Marie Curie (Paris VI), Paris, France

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  2. Vladimir Kazakov

    1. Université Pierre et Marie Curie (Paris VI) and École Normale Superieure, Paris, France

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  3. Marco Picco

    1. CNRS and Université Pierre et Marie Curie (Paris VI), Paris, France

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  4. Paul Windey

    1. Université Pierre et Marie Curie (Paris VI), Paris, France

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Part of the book series: NATO Science Series B: (NSSB, volume 361)

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Table of contents (18 chapters)

  1. Front Matter

    Pages i-x
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  2. Classical Geometry and Target Space Duality

    • Orlando Alvarez
    Pages 1-18

  3. (Perturbed) Conformal Field Theory Applied to 2D Disordered Systems: An Introduction

    • Denis Bernard
    Pages 19-61

  4. Does Coupling to Gravity Preserve Integrability?

    • Adel Bilal
    Pages 63-72

  5. Self-Avoiding Random Manifolds

    • François David
    Pages 73-85

  6. Folding, Meanders and Arches

    • P. Di Francesco, O. Golinelli, E. Guitter
    Pages 87-120

  7. Topological σ-Models and the Large-N Techniques

    • Tohru Eguchi
    Pages 121-143

  8. Chirality Deconfinement Beyond the C = 1 Barrier of Two Dimensional Gravity

    • Jean-Loup Gervais
    Pages 145-160

  9. Lectures on Supersymmetric Gauge Theories and Electric-Magnetic Duality

    • K. Intriligator, N. Seiberg
    Pages 161-199

  10. Bilinear Functional Equations of Hirota Type in Statistical Models on Random Surfaces

    • Ivan K. Kostov
    Pages 201-209

  11. Calogero-Sutherland Model and Singular Vectors of W Algebras

    • Y. Matsuo
    Pages 211-217

  12. Matrix Models, Quantum Penner Action and Two-Dimensional String Theory

    • Camillo Imbimbo, Sunil Mukhi
    Pages 219-225

  13. Ising Model in a Magnetic Field

    • G. Delfino, G. Mussardo
    Pages 227-236

  14. Review of Recent Results on N= 1 Supersymmetric Gauge Theories

    • Eliezer Rabinovici
    Pages 237-243

  15. Tunneling between Edge States in the Fractional Quantum Hall Effect

    • P. Fendley, H. Saleur
    Pages 245-264

  16. Advances in Large N Group Theory and the Solution of Two-Dimensional R 2 Gravity

    • V. A. Kazakov, M. Staudacher
    Pages 265-277

  17. Quantum Integrable Systems and Elliptic Solutions of Classical Discrete Nonlinear Equations

    • I. Krichever, O. Lipan, P. Wiegmann, A. Zabrodin
    Pages 279-317

  18. Conformal Bootstrap in Liouville Field Theory

    • A. Zamolodchikov, Al. Zamolodchikov
    Pages 319-334

  19. Thermodynamic Bethe Ansatz for Excited States

    • A. Zamolodchikov
    Pages 335-364

  20. Back Matter

    Pages 365-373
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Keywords

About this book

The Cargese Summer School "Low Dimensional Applications of Quantum Field Theory" was held in July 1995. The School was dedicated to the memory of Claude Itzykson. This session focused on the recent progress in quantum field theory in two dimen­ sions with a particular emphasis on integrable models and applications of quantum field theory to condensed matter physics. A large fraction of the school was also devoted to a detailed review of the exciting developments in four dimensional super­ symmetric Yang-Mills theory. The diversity of the topics presented constitute, in our opinion, one of the most attractive features of these proceedings. Some contributions constitute a very thor­ ough introduction to their subject matter and should be helpful to advanced students in the field while others present entirely new research, not previously published, and should be of considerable interest to the specialist. There were in depth introductory lectures on the application of conformal field theory techniques to disordered systems, on the quantum Hall effect, on quantum in­ tegrable systems, on the thermodynamic Bethe Ansatz and on the new developments in supersymmetric gauges theories. The computation of the three point function of the Liouville model using conformal bootstrap methods was presented in detail.

Editors and Affiliations

  • CNRS and Université Pierre et Marie Curie (Paris VI), Paris, France

    Laurent Baulieu, Marco Picco

  • Université Pierre et Marie Curie (Paris VI) and École Normale Superieure, Paris, France

    Vladimir Kazakov

  • Université Pierre et Marie Curie (Paris VI), Paris, France

    Paul Windey

Bibliographic Information

  • Book Title: Low-Dimensional Applications of Quantum Field Theory

  • Editors: Laurent Baulieu, Vladimir Kazakov, Marco Picco, Paul Windey

  • Series Title: NATO Science Series B:

  • DOI: https://doi.org/10.1007/978-1-4899-1919-9

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1997

  • Hardcover ISBN: 978-0-306-45686-2Published: 30 June 1997

  • Softcover ISBN: 978-1-4899-1921-2Published: 27 July 2013

  • eBook ISBN: 978-1-4899-1919-9Published: 01 December 2013

  • Series ISSN: 0258-1221

  • Edition Number: 1

  • Number of Pages: X, 373

  • Topics: Theoretical, Mathematical and Computational Physics, Physical Chemistry

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