Noncommutative Structures in Mathematics and Physics [Hardcover]

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.Proceedings of the NATO Advanced Research Workshop, Kiev, Ukraine, September 24-28, 2000A 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.Preface. Gauge Theories Beyond Gauge Theory; J. Wess. Symmetries Wider Than Supersymmetry; D. Leites, V. Serganova. Tensions in Supergravity Braneworlds; K. Stelle. An Unconventional Supergravity; P. Grozman, D. Leites. Supersymmetry of RS Bulk and Brane; E. Bergshoeff, et al. D-Branes and Vacuum Periodicity; D. Galtsov, V. Dyadichev. Quantum Deformations of Space-Time SUSY and Noncommutative Superfield Theory; P. Kosinski, et al. The Howe Duality and Lie Superalgebras; D. Leites, IlG