Quantum Theory And Symmetries: Proceedings Of The 3rd International Symposium, Cincinnati, Usa 10 - 14 September 2003

by Argyres, P. C.; Hodges, T. J.; Mansouri, F.; Scanio, Joseph J.; Suranyi, P.; Wijewardhana, L. C. R.

• ISBN13: 9789812560681
• ISBN10: 9812560688
• Format: Hardcover
• Copyright: 2004-10-28
• Publisher: World Scientific Pub Co Inc

Summary

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.

Table of Contents

Freydoon Mansouri (1936-2003)	v
Preface	vii
Opening Remarks	ix
H.-D. Doebner
I. Freydoon Mansouri Memorial Lectures
Some Consequences of the Hypothesis of Minimal Lengths	3	(8)
L.N. Chang
Strings and Black Holes: An Emergence of Patterns?	11	(10)
G. Domokos and S. Kovesi-Domokos
Physics and Geometry	21	(9)
P.G.O. Freund
Neutrinos: Windows to Planck Physics	30	(11)
P. Ramond
Hamiltonians of Odd Fermion Number and Path Integrals	41	(12)
C.M. Sommerfield
II. Algebras and Representations
DAHA and Verlinde Algebras	53	(12)
I. Cherednik
Contractions and Deformations of Lie Algebras	65	(6)
M. de Montigny
On the Unitarity of D = 9, 10, 11 Conformal Supersymmetry	71	(6)
V.K. Dobrev, R.B. Zhang and B.S. Zlatev
Realizations of Exceptional U-Duality Groups as Conformal and Quasi-Conformal Groups and Their Minimal Unitary Representations	77	(11)
M. Gunaydin
Fusion Products of SLN Symmetric Power Representations and Kostka Polynomials	88	(6)
R. Kedem
Structure of Bi-Ideals Via Differential Calculi	94	(5)
V.K. Kharchenko
Virasoro-Type Algebras Associated with Higher-Rank Aperiodic Point Sets	99	(6)
V. Mazorchuk and R. Twarock
Representations of the Poincare Group From Positive Energy Representations of SO(2,3)	105	(8)
P. Moylan
III. Quantization and Quantum Gravity
Theoretical Framework for Relativistic Resonances	113	(6)
A.R. Bohm and Y. Sato
Nonlinear Schrodinger Equations for Particles and Antiparticles	119	(7)
H.-D. Doebner and G. A. Goldin
Expanded Quantum Linear Harmonic Oscillator	126	(7)
D.R. Finkelstein and M. Shiri-Garakani
Thermodynamic Limits, Non-Commutative Probability, and Quantum Entanglement	133	(11)
J.F. Johnson
Canonical Reduction of Gravity: From General Covariance to Dirac Observables and Post-Minkowskian Background-Independent Gravitational Waves	144	(8)
L. Lusanna
Where are the States of a Black Hole?	152	(7)
S.D. Mathur
What is Quantum Theory of Gravity?	159	(8)
D. Minic and C.-H. Tze
Quantizing Gravitational Collapse	167	(10)
C. Vaz
IV. D less than 4 Field Theories; String and Brane Worldvolumes
Phase Structure of Non-Compact QED3 and the Abelian Higgs Model	177	(15)
T. Appelquist and L.C.R. Wijewardhana
Plane Wave and Vortex-Like Solutions of Noncommutative Maxwell-Chern-Simons Theory	192	(6)
D. Arnaudon, G. Alexanian and M.B. Paranjape
Quantum Hall Physics in String Theory	198	(8)
O. Bergman
Branes, Strings, and Odd Quantum Nambu Brackets	206	(12)
T.L. Curtright and C K. Zachos
D Branes in 2d String Theory and Classical Limits	218	(16)
S.R. Das
Aspects of Diffeomorphism Invariant Theory of Extended Objects	234	(9)
V.G. Gueorguiev
Interaction Between Vortices in Models with Two Order Parameters	243	(7)
R. MacKenzie, M.-A. Vachon and U.F. Wichoski
Supersymmetric Boundary Conditions for the N = 2 Sigma Model	250	(6)
I.V. Melnikov, M.R. Plesser and S. Rinke
Yang-Mills Theory, from 2 + 1 to 3 + 1 Dimensions	256	(6)
V.P. Nair
Three Dimensional Simplicial Yang-Mills Theory: An Approach to the Mass Gap	262	(13)
S.G. Rajeev
V. D > 3 Field Theories and Gravity
Cross-Order Relations in N = 4 Supersymmetric Gauge Theories	275	(6)
C. Anastasiou, Z. Bern, L.J. Dixon and D.A. Kosower
BPS Domain Walls in Massive Hyper-Kahler Sigma Models	281	(6)
M. Arai, M. Nitta and N. Sakai
Higher Derivative Terms in N = 2 SUSY Effective Actions	287	(7)
P.C. Argyres, A. Awad, G.A. Braun and F.P. Esposito
A Short Introduction to the Fate of the α-Vacuum	294	(6)
H. Collins
Yangian Symmetry in D = 4 Superconformal Yang-Mills Theory	300	(16)
L. Dolan, C.R. Nappi and E. Witten
Self-Duality, Helicity and Higher-Loop Euler-Heisenberg Effective Actions	316	(10)
G V. Dunne and C. Schubert
A New Approach to Scale Symmetry Breaking and Confinement	326	(6)
P. Gaete and E. Guendelman
Generalizations of Yang-Mills Theory with Nonlinear Constitutive Equations	332	(6)
G.A. Goldin and V. Shtelen
Exploring the 4d Superconformal Zoo	338	(11)
K. Intriligator and B. Wecht
4-Dimensional Einstein Theory Extended by a 3-Dimensional Chern-Simons Term	349	(12)
R. Jackiw
Small Black Holes in Randall-Sundrum I Scenario	361	(7)
D. Karasik, C. Sahabandu, P. Swranyi and L.C.R. Wijewardhana
Matrix Models and N = 2 Gauge Theory	368	(6)
S.G. Naculich, H.J. Schnitzer and N. Wyllard
On a Possible Noncommutative Generalization of the Signature and Euler Topological Invariants	374	(10)
O. Obregón, M. Sabido, C. Ramirez and H. Garcia-Compeán
SUSY GUTs in Four and Five Dimensions	384	(14)
S. Baby
Normal Order: Combinatorial Graphs	398	(9)
A.I. Solomon, P. Blasiak, A. Horzela, K.A. Pensons and G. Duchamp
Conservation Laws in Fluid Dynamics and Self-Duality of Rankine-Hugoniot Shock Conditions	407	(8)
V.V. Sreedhar
B Fields from a Luddite Perspective	415	(9)
M. Stern
Geometric Transitions, Matrix Models and Effective Field Theories	424	(7)
R. Tatar
The Solution of the Dirac Equation with the Interaction Term	431	(6)
Y.-S. Tsai, H.-M. Tsai, P.-Y. Tsai and L.-H. Tsai
Perturbative and Nonperturbative Renormalization of Anomalous Quark Triangles	437	(6)
A. Vainshtein
Biconformal Supergravity	443	(8)
J.T. Wheeler
VI. String Theory
On D-Brane Topology Change	451	(8)
G.G. Alexanian, A.P. Balachandran and P.J. Silva
Kahler Versus Non-Kahler Compactifications	459	(14)
M. Becker and K. Dasgupta
On Effective Action of String Theory Flux Compactifications	473	(7)
A. Buchel
Is There a String Theory Landscape? Some Cautionary Remarks	480	(15)
M. Dine
Chirality Change in Heterotic String Theory	495	(6)
M. Douglas and C.-G. Zhou
Superstrings and WZNW Models	501	(11)
P.A. Grassi, G. Policastro and P. van Nieuwenhuizen
String Creation and Cosmology	512	(12)
S.S. Gubser
Black Hole Singularity in AdS/CFT	524	(7)
V. Hubeny
D-Brane Stability, Geometric Engineering, and Monodromy in the Derived Category	531	(7)
R.L. Karp
B-Branes and the Derived Category	538	(10)
S. Katz
Remarks on Branes, Fluxes, and Soft SUSY Breaking	548	(10)
A. Lawrence and J. McGreevy
The Dynamics of the Dp - D(p - 2) System	558	(6)
L. Leblond
Smooth Cosmologies From M-Theory	564	(6)
H. Lü and J. F. Vázquez-Poritz
More on Supersymmetric Tensionless Rotating Strings in AdS5 x S5	570	(6)
D. Mateos, T. Mateos and P.K. Townsend
Matrix Theory of pp Waves	576	(7)
J. Michelson
Block Spins and D-Branes: Coarse-Graining Matrices and Quivers	583	(6)
K. Narayan
Global Aspects of Plane Waves	589	(6)
M. Rangamani
The Hidden Symmetries of the AdS5 x S5 Superstring	595	(6)
R. Roiban
Matrix Model Thermodynamics	601	(13)
G.W. Semenoff
Mathematical Aspects of D-Branes	614	(7)
E. Sharpe
A Review of the Plane-Wave/SYM Duality	621	(6)
M.M. Sheikh-Jabbari
Quivers, Dibaryons, and Exceptional Collections	627	(8)
J. Walcher
VII. Loop Quantum Gravity
Ln(3) and Black Hole Entropy	635	(6)
O. Dreyer
Observability and Geometry in Three Dimensional Quantum Gravity	641	(7)
K. Noui and A. Perez
Dynamics of Loop Quantum Gravity and Spin Foam Models in Three Dimensions	648	(7)
K. Noui and A. Perez
An Invitation to Loop Quantum Gravity	655	(28)
L. Smolin
Loop Quantum Gravity Induced Corrections to Fermion Dynamics in Flat Space	683	(8)
L.F. Urrutia
VIII. Lorentz Violation
Superfield Realizations of Lorentz Violation	691	(6)
M.S. Berger
CPT Symmetry and Lorentz Covariance	697	(10)
O.W. Greenberg
Neutrino Oscillations and Lorentz Violation	707	(15)
V.A. Kostelecký
Lorentz-Violating Dispersion Relations and Threshold Analyses	722	(10)
R. Lehnert
Experimental Challenges for Quantum Gravity	732	(15)
R.C. Myers and M. Popselov
IX. Applications
Black Holes from Colliders and Cosmic Rays	747	(10)
L.A. Anchordoqui, J.L. Feng, H. Goldberg and A. Shapere
Standard-Model Coupling Constants from Compositeness: Quantum-Mechanics and Symmetry Arguments	757	(6)
J. Besprosvany
Noncommutative Inflation and the Large-Scale Damping in the CMB Anisotropy	763	(6)
M. Fukuma, Y. Kono and A. Miwa
Nonlinear Supersymmetric General Relativity and Unity of Nature	769	(6)
K. Shima
Precision Electro-Weak and Hadronic Luminosity Calculations	775
S.A. Yost, C. Glosser and B.F.L. Ward