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Noncommutative Structures in Mathematics and Physics

  • Book
  • © 2001

Overview

Editors:
  1. Steven Duplij

    1. Theory Group, Nuclear Physics Laboratory, Kharkov National University, Kharkov, Ukraine

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    You can also search for this editor in PubMed   Google Scholar

  2. Julius Wess

    1. Sektion Physik, Ludwig-Maximillians-Universität, München, Germany

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: NATO Science Series II: Mathematics, Physics and Chemistry (NAII, volume 22)

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Table of contents (39 chapters)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. Gauge Theories Beyond Gauge Theory

    • Julius Wess
    Pages 1-11

  3. Symmetries Wider than Supersymmetry

    • Dimitry Leites, Vera Serganova
    Pages 13-30

  4. Tensions in Supergravity Braneworlds

    • Kellogg Stelle
    Pages 31-40

  5. An Unconventional Supergravity

    • Pavel Grozman, Dimitry Leites
    Pages 41-47

  6. Supersymmetry of RS Bulk and Brane

    • Eric Bergshoeff, Renata Kallosh, Antoine Van Proeyen
    Pages 49-59

  7. D-Branes and Vacuum Periodicity

    • Dmitri Galtsov, Vladimir Dyadichev
    Pages 61-78

  8. Quantum Deformations of Space-Time Susy and Noncommutative Superfield Theory

    • P. Kosiński, Jerzy Lukierski, P. Maślanka
    Pages 79-91

  9. The Howe Duality and Lie Superalgebras

    • Dimitry Leites, Irina Shchepochkina
    Pages 93-111

  10. Enveloping Algebra of GL(3) and Orthogonal Polynomials

    • Alexander Sergeev
    Pages 113-124

  11. Noninvertibility, Semisupermanifolds and Categories Regularization

    • Steven Duplij, Władysław Marcinek
    Pages 125-139

  12. An Overview of New Supersymmetric Gauge Theories with 2-Form Gauge Potentials

    • Friedemann Brandt
    Pages 141-152

  13. Supersymmetric R 4 Actions and Quantum Corrections to Superspace Torsion Constraints

    • Kasper Peeters, Pierre Vanhove, Anders Westerberg
    Pages 153-159

  14. Massive Superparticle with Spinorial Central Charges

    • S. Fedoruk, V. G. Zima
    Pages 161-180

  15. Rotating Super Black Hole as Spinning Particle

    • Alexander Burinskii
    Pages 181-193

  16. Classifying N-Extended 1-Dimensional Super Systems

    • Francesco Toppan
    Pages 195-201

  17. Para, Pseudo, and Orthosupersymmetric Quantum Mechanics and their Bosonization

    • Christiane Quesne
    Pages 203-213

  18. Supersymmetric Odd Mechanical Systems and Hilbert Q-Module Quantization

    • Andrzej Frydryszak
    Pages 215-227

  19. Locally Anisotropic Supergravity and Gauge Gravity on Noncommutative Spaces

    • Sergiu Vacaru, Iurie Chiosa, Nadejda Vicol
    Pages 229-243

  20. Finiteness in Conventional N = 1 Guts

    • Tatsuo Kobayashi, Jisuke Kubo, Myriam Mondragón, George Zoupanos
    Pages 245-257
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Keywords

About this book

A presentation of outstanding achievements and ideas, of both eastern and western scientists, both mathematicians and physicists. Their presentations of recent work on quantum field theory, supergravity, M-theory, black holes and quantum gravity, together with research into noncommutative geometry, Hopf algebras, representation theory, categories and quantum groups, take the reader to the forefront of the latest developments. Other topics covered include supergravity and branes, supersymmetric quantum mechanics and superparticles, (super) black holes, superalgebra representations, and SUSY GUT phenomenology. Essential reading for workers in the modern methods of theoretical and mathematical physics.

Editors and Affiliations

  • Theory Group, Nuclear Physics Laboratory, Kharkov National University, Kharkov, Ukraine

    Steven Duplij

  • Sektion Physik, Ludwig-Maximillians-Universität, München, Germany

    Julius Wess

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