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Differential Geometric Methods in Theoretical Physics

Proceedings of the 19th International Conference Held in Rapallo, Italy, 19–24 June 1990

  • Conference proceedings
  • © 1991

Overview

Editors:
  1. C. Bartocci
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  2. U. Bruzzo
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  3. R. Cianci
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Part of the book series: Lecture Notes in Physics (LNP, volume 375)

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Table of contents (40 papers)

  1. Front Matter

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  2. Higgs fields and superconnections

    • R. Coquereaux
    Pages 3-12

  3. Noncommutative differential geometry, quantum mechanics and gauge theory

    • Michel Dubois-Violette
    Pages 13-24

  4. Introduction to non-commutative geometry and Yang-Mills model-building

    • Daniel Kastler
    Pages 25-36

  5. II. Gauge-field model-building via non-commutative differential geometry

    Pages 37-44

  6. Measuring coalgebras, quantum group-like objects, and non-commutative geometry

    • Marjorie Batchelor
    Pages 47-60

  7. Tensor Operator Structures in Quantum Unitary Groups

    • L. C. Biedenharn
    Pages 61-69

  8. Quantum groups and quantum complete integrability: Theory and experiment

    • R. K. Bullough, J. Timonen
    Pages 71-90

  9. Some ideas and results on integrable nonlinear evolution systems

    • F. Calogero
    Pages 91-95

  10. An algebraic characterization of complete integrability for Hamiltonian systems

    • S. De Filippo, G. Landi, G. Marmoz, G. Vilasi
    Pages 96-106

  11. Integrable lattice models and their scaling limits QFT and CFT

    • H. J. de Vega
    Pages 107-119

  12. Quantum groups, Riemann surfaces and conformal field theory

    • C. Gómez, G. Sierra
    Pages 120-130

  13. Some physical applications of category theory

    • Shahn Majid
    Pages 131-142

  14. From poisson groupoids to quantum groupoids and back

    • Meinhard E. Mayer
    Pages 143-154

  15. Quantization on Kähler manifolds

    • John Rawnsley
    Pages 155-161

  16. A new class of infinite-dimensional Lie algebras (continuum Lie algebras) and associated nonlinear systems

    • M. V. Saveliev, A. M. Vershik
    Pages 162-170

  17. Exchange Algebra in the Conformal Affine sl 2 Toda Field Theory

    • O. Babelon, L. Bonora
    Pages 173-184

  18. Some properties of p-lines

    • Krystyna M. Bugajska
    Pages 185-197

  19. Breaking of supersymmetry through anomalies in composite spinor operators

    • J. A. Dixon
    Pages 198-208

  20. Conformal field theory and moduli spaces of vector bundles over variable Riemann surfaces

    • Gregorio Falqui, Cesare Reina
    Pages 209-218
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About this book

Geometry, if understood properly, is still the closest link between mathematics and theoretical physics, even for quantum concepts. In this collection of outstanding survey articles the concept of non-commutation geometry and the idea of quantum groups are discussed from various points of view. Furthermore the reader will find contributions to conformal field theory and to superalgebras and supermanifolds. The book addresses both physicists and mathematicians.

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