Quantum Theory and Symmetries, Proceedings of the 3rd International Symposium

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The book contains the text of lectures given at the third of a series of biennial symposia in mathematical physics held in odd-numbered years. The subject of the symposium is the frontiers of mathematical physics. It deals with quantum phenomena and includes topics such as string theory and quantum gravity, particle physics and field theory, non-communative geometry, integrable models and infinite dimensional symmetry groups, quantum computing and information processing, and quantum chaos.
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Product Details

  • ISBN-13: 9789812560681
  • Publisher: World Scientific Publishing Company, Incorporated
  • Publication date: 10/28/2004
  • Pages: 804
  • Product dimensions: 6.30 (w) x 9.10 (h) x 1.70 (d)

Table of Contents

Opening remarks
Some consequences of the hypothesis of minimal lengths 3
Strings and black holes : an emergence of patterns? 11
Physics and geometry 21
Neutrinos : Windows to planck physics 30
Hamiltonians of odd fermion number and path integrals 41
DAHA and Verlinde algebras 53
Contractions and deformations of lie algebras 65
On the unitarity of D = 9, 10, 11 conformal supersymmetry 71
Realizations of exceptional U-duality groups as conformal and quasi-conformal groups and their minimal unitary representations 77
Fusion products of SL[subscript N] symmetric power representations and Kostka polynomials 88
Structure of Bi-ideals via differential calculi 94
Virasoro-type algebras associated with higher-rank aperiodic point sets 99
Representations of the poincare group from positive energy representations of SO(2,3) 105
Theoretical framework for relativistic resonances 113
Nonlinear Schrodinger equations for particles and antiparticles 119
Expanded quantum linear harmonic oscillator 126
Thermodynamic limits, non-commutative probability, and quantum entanglement 133
Canonical reduction of gravity : from general covariance to dirac observables and post-Minkowskian background-independent gravitational waves 144
Where are the states of a black hole? 152
What is quantum theory of gravity? 159
Quantizing gravitational collapse 167
Phase structure of non-compact QED3 and the Abelian Higgs model 177
Plane wave and vortex-like solutions of noncommutative Maxwell-Chern-Simons theory 192
Quantum hall physics in string theory 198
Branes, strings, and odd quantum Nambu brackets 206
D branes in 2d string theory and classical limits 218
Aspects of diffeomorphism invariant theory of extended objects 234
Interaction between vortices in models with two order parameters 243
Supersymmetric boundary conditions for the N = 2 sigma model 250
Yang-Mills theory, from 2+1 to 3+1 dimensions 256
Three dimensional simplicial Yang-Mills theory : an approach to the mass gap 262
Cross-order relations in N = 4 supersymmetric Gauge theories 275
BPS domain walls in massive hyper-Kahler sigma models 281
Higher derivative terms in N = 2 SUSY effective actions 287
A short introduction to the fate of the [alpha]-vacuum 294
Yangian symmetry in D = 4 superconformal Yang-Mills theory 300
Self-duality, helicity and higher-loop Euler-Heisenberg effective actions 316
A new approach to scale symmetry breaking and confinement 326
Generalizations of Yang-Mills theory with nonlinear constitutive equations 332
Exploring the 4d superconformal zoo 338
4-dimensional Einstein theory extended by a 3-dimensional Chern-Simons term 349
Small black holes in Randall-Sundrum I scenario 361
Matrix models and N = 2 Gauge theory 368
On a possible noncommutative generalization of the signature and Euler topological invariants 374
SUSY GUTs in four and five dimensions 384
Normal order : combinatorial graphs 398
Conservation laws in fluid dynamics and self-duality of Rankine-Hugoniot shock conditions 407
B fields from a Luddite perspective 415
Geometric transitions, matrix models and effective field theories 424
The solution of the Dirac equation with the interaction term 431
Perturbative and nonperturbative renormalization of anomalous quark triangles 437
Biconformal supergravity 443
On D-brane topology change 451
Kahler versus non-Kahler compactifications 459
On effective action of string theory flux compactifications 473
Is there a string theory landscape? : some cautionary remarks 480
Chirality change in heterotic string theory 495
Superstrings and WZNW models 501
String creation and cosmology 512
Black hole singularity in AdS/CFT 524
D-brane stability, geometric engineering, and monodromy in the derived category 531
B-branes and the derived category 538
Remarks on branes, fluxes, and soft SUSY breaking 548
The dynamics of the D[subscript p] - D(p - 2) system 558
Smooth cosmologies from M-theory 564
More on supersymmetric tensionless rotating strings in AdS[subscript 5] x S[superscript 5] 570
Matrix theory of pp waves 576
Block spins and D-branes : coarse-graining matrices and quivers 583
Global aspects of plane waves 589
The hidden symmetries of the AdS[subscript 5] x S[superscript 5] superstring 595
Matrix model thermodynamics 601
Mathematical aspects of D-branes 614
A review of the plane-wave/SYM duality 621
Quivers, dibaryons, and exceptional collections 627
Ln(3) and black hole entropy 635
Observability and geometry in three dimensional quantum gravity 641
Dynamics of loop quantum gravity and spin foam models in three dimensions 648
An invitation to loop quantum gravity 655
Loop quantum gravity induced corrections to fermion dynamics in flat space 683
Superfield realizations of Lorentz violation 691
CPT symmetry and Lorentz covariance 697
Neutrino oscillations and Lorentz violation 707
Lorentz-violating dispersion relations and threshold analyses 722
Experimental challenges for quantum gravity 732
Black holes from colliders and cosmic rays 747
Standard-model coupling constants from compositeness : quantum-mechanics and symmetry arguments 757
Noncommutative inflation and the large-scale damping in the CMB anisotropy 763
Nonlinear supersymmetric general relativity and unity of nature 769
Precision electro-weak and hadronic luminosity calculations 775
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