Noncommutative Structures in Mathematics and Physics

1. Front Matter

   Pages i-ix

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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

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.

• Boson
• Gauge theory
• Neutrino
• Potential
• Quantum mechanics
• Representation theory
• mathematical physics

• 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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