Noncommutative Structures in Mathematics and Physics

by Duplij, Steven; Wess, Julius

• ISBN13: 9780792369998
• ISBN10: 0792369998
• Format: Paperback
• Copyright: 2001-07-01
• Publisher: Kluwer Academic Pub

Summary

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.

Table of Contents

Preface	vii
Gauge Theories Beyond Gauge Theory	1	(12)
J. Wess
Symmetries Wider Than Supersymmetry	13	(18)
D. Leites
V. Serganova
Tensions in Supergravity Braneworlds	31	(10)
K. Stelle
An Unconventional Supergravity	41	(8)
P. Grozman
D. Leites
Supersymmetry Of RS Bulk And Brane	49	(12)
E. Bergshoeff
R. Kallosh
A. Van Proeyen
D-branes And Vacuum Periodicity	61	(18)
D. Galtsov
V. Dyadichev
Quantum Deformations Of Space-Time SUSY And Noncommutative Superfield Theory	79	(14)
P. Kosinski
J. Lukierski
P. Maslanka
The Howe Duality And Lie Superalgebras	93	(20)
D. Leites
I. Shchepochkina
Enveloping Algebra Of GL(3) And Orthogonal Polynomials	113	(12)
A. Sergeev
Noninvertibility, Semisupermanifolds And Categories Regularization	125	(16)
S. Duplij
W. Marcinek
An Overview Of New Supersymmetric Gauge Theories With 2-Form Gauge Potentials	141	(12)
F. Brandt
Supersymmetric R4 Actions And Quantum Corrections To Superspace Torsion Constraints	153	(8)
K. Peeters
P. Vanhove
A. Westerberg
Massive Superparticle With Spinorial Central Charges	161	(20)
S. Fedoruk
V.G. Zima
Rotating Super Black Hole as Spinning Particle	181	(14)
A. Burinskii
Classifying N-extended 1-dimensional Super Systems	195	(8)
F. Toppan
Para, Pseudo, And Orthosupersymmetric Quantum Mechanics And Their Bosonization	203	(12)
C. Quesne
Supersymmetric Odd Mechanical Systems And Hilbert Q-module Quantization	215	(14)
A. Frydryszak
Locally Anisotropic Supergravity And Gauge Gravity On Noncommutative Spaces	229	(16)
S. Vacaru
I. Chiosa
N. Vicol
Finiteness In Conventional N = 1 GUTs	245	(14)
T. Kobayashi
J. Kubo
M. Mondragon
G. Zoupanos
World Volume Realization Of Automorphisms	259	(12)
J. Simon
Some Metrics On The Manin Plane	271	(12)
G. Fiore
M. Maceda
J. Madore
Coherence Isomorphisms For A Hopf Category	283	(12)
V. Lyubashenko
Fusion Rings And Tensor Categories	295	(4)
A. Ganchev
On Categories Of Gelfand-Zetlin Modules	299	(10)
V. Mazorchuk
Hidden Symmetry Of Some Algebra Of q-differential Operators	309	(12)
D. Shklyarov
S. Sinel'shchikov
L. Vaksman
A Family Of *-Algebras Allowing Wick Ordering: Fock Representations And Universal Enveloping C*-Algebras	321	(10)
P. Jorgensen
D. Proskurin
Y. Samoilenko
Nonstandard Quantization Of The Enveloping Algebra U(so(n)) And Its Applications	331	(12)
A.U. Klimyk
Can The Cabibbo Mixing originate from noncommutative extra dimensions?	343	(14)
A. Gavrilik
Nonclassical Type Representations Of Nonstandard Quantization Of Enveloping Algebras U(so(n)), U(so(n,1)) and U(iso(n))	357	(12)
N. Iorgov
Quasiparticles In Non-commutative Field Theory	369	(10)
K. Landsteiner
Time Dependence And (Non)Commutativity Of Symmetries Of Evolution Equations	379	(12)
A. Sergyeyev
p-Adic Strings And Noncommutativity	391	(10)
B. Dragovich
I. V. Volovich
Adelic Quantum Mechanics: Nonarchimedean And Noncommutative Aspects	401	(14)
G. Djordjevic
B. Dragovich
L. Nesic
Gibbs States Of A Lattice System Of Quantum Anharmonic Oscillators	415	(12)
Y. Kozitsky
A Metric-Affine Field Model For The Neutrino	427	(14)
D. Vassiliev
Generalized Taub-NUT Metrics And Killing-Yano Tensors	441	(12)
M. Visinescu
An Effective Model Of The Spacetime Foam	453	(12)
V. Dzhunushaliev
Possible Constraints On String Theory In Closed Space With Symmetries	465	(10)
A. Higuchi
Semiclassical Dynamics Of SU(2) Models	475	(6)
A. Alscher
H. Grabert
List Of Speakers And Their E-prints	481