Quantum Field Theory and String Theory

1. Front Matter

   Pages i-x

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2. Fractal Structure In 4D Gravity

   • I. Antoniadis

   Pages 1-9

3. A One Dimensional Ideal Gas of Spinons, or Some Exact Results on the XXX Spin Chain with Long Range Interaction

   • D. Bernard, V. Pasquier, D. Serban

   Pages 11-22

4. Kodaira-Spencer Theory of Gravity

   • Michael Bershadsky

   Pages 23-38

5. 3D Gravity and Gauge Theories

   • Dimitri Boulatov

   Pages 39-57

6. On the W-Gravity Spectrum and Its G-Structure

   • Peter Bouwknegt, Jim McCarthy, Krzysztof Pilch

   Pages 59-70

7. Light-Cone Quantisation of Matrix Models at c > 1

   • Simon Dalley

   Pages 71-80

8. Multicritical Points of 2-Matrix Models

   • Jean-Marc Daul

   Pages 81-86

9. The Super Self-Dual Matreoshka

   • Ch. Devchand, V. Ogievetsky

   Pages 87-98

10. The Phenomenology of Strings and Clusters in the 3-d Ising Model

    • Vladimir S. Dotsenko, Marco Picco, Paul Windey, Lpthe, Geoffrey Harris, Enzo Marinari et al.

    Pages 99-117

11. Conformal Field Theory Techniques in Large N Yang-Mills Theory

    • Michael R. Douglas

    Pages 119-135

12. Introduction to Differential W-Geometry

    • Jean-Loup Gervais

    Pages 137-150

13. Topological Strings and QCD in Two Dimensions

    • Petr Hořava

    Pages 151-163

14. Continuum QCD2 In Terms of Discrete Random Surfaces with Local Weights

    • Ivan K. Kostov

    Pages 165-184

15. Strings and Causality

    • Emil Martinec

    Pages 185-191

16. Loop Equation and Area Law in Turbulence

    • A. A. Migdal

    Pages 193-231

17. The Two-Dimensional String as a Topological Field Theory

    • Sunil Mukhi

    Pages 233-247

18. Linear Systems for 2D Poincaré Supergravities

    • Hermann Nicolai

    Pages 249-259

19. Quantization of Mirror Symmetry

    • Hirosi Ooguri

    Pages 261-272

20. Integrable QFT2 Encoded on Products of Dynkin Diagrams

    • Ennio Quattrini, Francesco Ravanini, Roberto Tateo

    Pages 273-284

The Cargese Workshop "Quantum Field Theory and String Theory" was held from May 10 to May 21, 1993. The broad spectrum of the work presented at the Workshop was the reflec­ tion of a time of intensive search for new ways of solving some of the most fun­ damental problems in string theory, quantum gravity and non-perturbative field theory. A number of talks indicated the emergence of new promising domains of investigation. It is this very diversity of topics which, in our opinion, represents one of the most attractive features of the present volume which we hope will provide a good orientation in the abundant flow of ideas and publications in modern quantum field theory. Many contributions to the present proceedings are concerned with two di­ mensional quantum field theory. The continuous advances in the domain of two dimensional integrable theories on the lattice as well as in the continuum, including conformal field theories, Liouville field theory and matrix models of two dimensional quantum gravity are very well represented. Other papers address physically realistic (and therefore very complicated) problems like de­ veloped turbulence, the Hofstadter problem, higher dimensional gravity and phenomenological strings. A new elegant class of topological field theories is presented. New ideas in the string representation of multicolor quantum chromo dynamics were widely discussed at the Workshop, more particularly the example of the exactly solvable two dimensional case.

• field theory
• gravity
• quantum field
• quantum field theory
• quantum gravity
• string theory
• turbulence

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

  Laurent Baulieu, Vladimir Dotsenko, Paul Windey

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

  Vladimir Kazakov

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