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Low-Dimensional Topology and Quantum Field Theory

  • Book
  • © 1993

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Editors:
  1. Hugh Osborn

    1. University of Cambridge, Cambridge, UK

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Part of the book series: NATO Science Series B: (NSSB, volume 315)

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Table of contents (29 chapters)

  1. Front Matter

    Pages i-viii
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  2. Combinatorial Recoupling Theory and 3-Manifold Invariants

    • Louis H. Kauffman
    Pages 1-17

  3. Quantum Field Theory and A,B,C,D IRF Model Invariants

    • Olaf J. Backofen
    Pages 19-29

  4. On Combinatorial Three-Manifold Invariants

    • G. Felder, O. Grandjean
    Pages 31-50

  5. Schwinger-Dyson Equation in Three-Dimensional Simplicial Quantum Gravity

    • Hirosi Ooguri
    Pages 51-71

  6. Observables in the Kontsevich Model

    • P. Di Francesco
    Pages 73-84

  7. Matrix Models in Statistical Mechanics and Quantum Field Theory, Recent Examples and Problems

    • Giovanni M. Cicuta
    Pages 85-93

  8. Dilogarithms and W-Algebras

    • Werner Nahm
    Pages 95-98

  9. Dilogarithm Identities and Spectra in Conformal Field Theory

    • Anatol N. Kirillov
    Pages 99-108

  10. Physical States in Topological Coset Models

    • J. Sonnenschein
    Pages 109-122

  11. Finite W Symmetry in Finite Dimensional Integrable Systems

    • T. Tjin
    Pages 123-130

  12. On the “Drinfeld-Sokolov” Reduction of the Knizhnik-Zamolodchikov Equation

    • P. Furlan, A. Ch. Ganchev, R. Paunov, V. B. Petkova
    Pages 131-141

  13. Noncritical Dimensions for Critical String Theory: Life Beyond the Calabi-Yau Frontier

    • Rolf Schimmrigk
    Pages 143-157

  14. W ∞ Algebra in Two-Dimensional Black Holes

    • Tohru Eguchi, Hiroaki Kanno, Sung-Kil Yang
    Pages 159-167

  15. Graded Lie Derivatives and Short Distance Expansions in Two Dimensions

    • Rainer Dick
    Pages 169-176

  16. 2D Black Holes and 2D Gravity

    • Farhad Ardalan
    Pages 177-181

  17. The Structure of Finite Dimensional Affine Hecke Algebra Quotients and their Realization in 2D Lattice Models

    • D. Levy
    Pages 183-191

  18. An Exact Renormalisation in a Vertex Model

    • Bruce W. Westbury
    Pages 193-201

  19. New Representations of the Temperley-Lieb Algebra with Applications

    • H. N. V. Temperley
    Pages 203-212

  20. Order-Disorder Quantum Symmetry in G-Spin Models

    • K. Szlachányi
    Pages 213-220
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Keywords

About this book

The motivations, goals and general culture of theoretical physics and mathematics are different. Most practitioners of either discipline have no necessity for most of the time to keep abreast of the latest developments in the other. However on occasion newly developed mathematical concepts become relevant in theoretical physics and the less rigorous theoretical physics framework may prove valuable in understanding and suggesting new theorems and approaches in pure mathematics. Such interdis­ ciplinary successes invariably cause much rejoicing, as over a prodigal son returned. In recent years the framework provided by quantum field theory and functional in­ tegrals, developed over half a century in theoretical physics, have proved a fertile soil for developments in low dimensional topology and especially knot theory. Given this background it was particularly pleasing that NATO was able to generously sup­ port an Advanced Research Workshop to be held in Cambridge, England from 6th to 12th September 1992 with the title Low Dimensional Topology and Quantum Field Theory. Although independently organised this overlapped as far as some speak­ ers were concerned with a longer term programme with the same title organised by Professor M Green, Professor E Corrigan and Dr R Lickorish. The contents of this proceedings of the workshop demonstrate the breadth of topics now of interest on the interface between theoretical physics and mathematics as well as the sophistication of the mathematical tools required in current theoretical physics.

Editors and Affiliations

  • University of Cambridge, Cambridge, UK

    Hugh Osborn

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