TAILIEUCHUNG - Noncommutative Structures in Mathematics and Physics

The concepts of noncommutative space-time and quantum groups have found growing attention in quantum field theory and string theory. The mathematical concepts of quantum groups have been far developed by mathematicians and physicists of the Eastern European countries. Especially, V. G. Drinfeld from Ukraine, S. Woronowicz from Poland and L. D. Faddeev from Russia have been pioneering the field. It seems to be natural to bring together these scientists with researchers in string theory and quantum field theory of the Western European countries. From another side, supersymmetry, as one of examples of noncommutative structure, was discovered in early 70’s in the West by J. Wess (one of the co-Directors). | Editors Steven Duplij and Julius Wess Noncommutative Structures in Mathematics and Physics Proceedings of the NATO Advanced Research Workshop NONCOMMUTATIVE STRUCTURES IN MATHEMATICS AND PHYSICS Kiev Ukraine September 24-28 2000 12 03 2001 3 49 v Editors Steven Duplij Theory Group Nuclear Physics Laboratory Kharkov National University Kharkov 61077 Ukraine Julius Wess Sektion Physik Ludwig-Maximilians-Universitat Theresienstr. 37 D-80333 Munchen Germany Compiling and making-up by Steven Duplij. 12 03 2001 3 49 CONTENTS Preface viii J. Wess Gauge Theories Beyond Gauge Theory 1 D. Leites V. Serganova Symmetries Wider Than Supersymmetry 13 K. Stelle Tensions in Supergravity Braneworlds 31 P. Grozman D. Leites An Unconventional Supergravity 41 E. Bergshoeff R. Kallosh A. Van Proeyen Supersymmetry Of RS Bulk And Brane 49 D. Galtsov V. Dyadichev D-branes And Vacuum Periodicity 61 P. Kosinski J. Lukierski P. Maslanka Quantum Deformations Of Space-Time SUSY And Noncommutative Superfield Theory 79 D. Leites I. Shchepochkina The Howe Duality And Lie Superalgebras 93 A. Sergeev Enveloping Algebra Of GL 3 And Orthogonal Polynomials 113 S. Duplij W. Marcinek Noninvertibility Semisupermanifolds And Categories Regularization 125 F. Brandt An Overview Of New Supersymmetric Gauge Theories With 2-Form Gauge Potentials 141 K. Peeters P. Vanhove A. Westerberg Supersymmetric R4 Actions And Quantum Corrections To Superspace Torsion Constraints 153 S. Fedoruk V. G. Zima Massive Superparticle With Spinorial Central Charges 161 A. Burinskii Rotating Super Black Hole as Spinning Particle 181 F. Toppan Classifying N-extended 1-dimensional Super Systems 195 C. Quesne Para Pseudo And Orthosupersymmetric Quantum Mechanics And Their Bosonization 203 A. Frydryszak Supersymmetric Odd Mechanical Systems And Hilbert Q-module Quantization 215 S. Vacaru I. Chiosa N. Vicol Locally Anisotropic Supergravity And Gauge Gravity On Noncommutative Spaces 229 T. Kobayashi J. .

• Vật lý
• Theories Beyond
• Gauge Theory
• Supergravity Braneworlds
• Quantum Deformations
• Vacuum Periodicity
• Orthogonal Polynomials
• Q classical orthogonal polynomials
• Askey–Wilson polynomials
• Q difference equations
• Fourier coefficients
• Recurrence relations
• Connection problem
• báo cáo khoa học
• báo cáo hóa học
• công trình nghiên cứu về hóa học
• tài liệu về hóa học
• cách trình bày báo cáo
• tài liệu báo cáo nghiên cứu khoa học
• kiến thức toán học
• báo cáo toán học
• công trình toán học
• Sylvester matrix
• 2 periodic tridiagonal Sylvester matrix
• Determinant of the Sylvester matrix
• 2 periodic generalization
• Optimization in statistics
• Approximation of functions
• Fourier series
• Approximation of integrals
• Advanced calculus
• Applications in statistics