Differential Geometry And Physics - Proceedings Of The 23th International Conference Of Differential Geometric Methods In Theoretical Physics

by Weiping Zhang, Mo-lin Ge

Overview

This volumes provides a comprehensive review of interactions between differential geometry and theoretical physics, contributed by many leading scholars in these fields. The contributions promise to play an important role in promoting the developments in these exciting areas. Besides the plenary talks, the coverage includes: models and related topics in statistical physics; quantum fields, strings and M-theory; Yang-Mills fields, knot theory and related topics; K-theory, including index theory and non-commutative geometry; mirror symmetry, conformal and topological quantum field theory; development of integrable systems; and random matrix theory.

Product Details

ISBN-13:	9789812703774
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	12/13/2006
Series:	Nankai Tracts In Mathematics , #10
Pages:	540
Product dimensions:	6.20(w) x 9.00(h) x 1.40(d)

Table of Contents

Foreword   Michael Atiyah     vii
Foreword   Chen Ning Yang     ix
Preface     xi
Plenary Lectures     1
Yangian and Applications   C.-M. Bai   M.-L. Ge   K. Xue   H.-B. Zhang     3
The hypoelliptic Laplacian and Chern-Gauss-Bonnet   J.-M. Bismut     38
S. S. Chern and Chern-Simons Terms   R. Jackiw     53
Localization and Conjectures from String Duality   K.F. Liu     63
Topologization of Electron Liquids with Chern-Simons Theory and Quantum Computation   Z.H. Wang     106
Invited Contributions     121
Quasicrystals: Projections of 5-d Lattice into 2 and 3 Dimensions   H. Au-Yang   J. H. H. Perk     123
Theoretical Analysis of the Double Spin Chain Compound KCuCl[subscript 3]   M. T. Batchelor   X.-W. Guan   N. Oelkers     133
Applications of Geometric Cluster Algorithms   H. W. J. Blote   Y. Deng   J. R. Heringa     142
Equivariant Cohomology and Localization for Lie Algebroids and Applications   U. Bruzzo     152
Directed Percolation in Two Dimensions: An Exact Solution   L. C. Chen   F. Y.Wu     160
Generalized Drinfeld Polynomials for Highest Weight Vectors of the Borel Subalgebra of the sl[subscript 2] Loop Algebra   T. Deguchi     169
On the Physical Significance of q-deformation in Many-body Physics   J. P. Draayer   K. D. Sviratcheva   C. Bahri   A. I. Georgieva     179
A Matrix Product Ansatz Solution of an Exactly Solvable Interacting Vertex Model   A. A. Ferreira   F. C. Alcaraz     190
A 2h-dimensional Model with Virasoro Symmetry   P. Furlan   V.B. Petkova     200
3-dimensional Integrable Lattice Models and the Bazhanov-Stroganov Model   G. von Gehlen   S. Pakuliak   S. Sergeev     210
Exact Solution of Two Planar Polygon Models   A.J. Guttmann   I. Jensen     221
Quasi-exact Solvability of Dirac Equations   C.-L. Ho     232
Exotic Galilean Symmetry, Non-commutativity & the Hall Effect   P. A. Horvathy     241
The Energy-momentum and Related Topics in Gravitational Radiation   W.-l. Huang   X. Zhang     248
Quantum Operators and Hermitian Vector Fields   J. Janyska   M. Modugno     256
Electric-magnetic Duality Beyond Four Dimensions and in General Relativity    B.L. Julia     266
Topology and Quantum Information   L.H. Kauffman     273
Generalized Cohomologies and Differential Forms of Higher Order   R. Kerner     283
Periodic Cellular Automata and Bethe Ansatz   A. Kuniba   A. Takenouchi     293
An L[superscript 2]-Alexander-Conway Invariant for Knots and the Volume Conjecture   W.P. Li   W.P. Zhang     303
Faddeev Knots, Skyrme Solitons, and Concentration-Compactness   F.H. Lin   Y.S. Yang     313
Dynamics of Bose-Einstein Condensates   W.-M. Liu     323
Twisted Space-Time Symmetry, Non-Commutativity and Particle Dynamics   J. Lukierski   M. Woronowicz     333
Toeplitz Quantization and Symplectic Reduction   X.N. Ma   W.P. Zhang     343
On Mysteriously Missing T-duals, H-flux and the T-duality Group   V. Mathai   J. Rosenberg     350
Murphy Operators in Knot Theory   H. R. Morton     359
Bethe Ansatz for the Open XXZ Chain from Functional Relations at Roots of Unity   R.I. Nepomechie     367
Separation Between Spin And Charge in SU(2) Yang-Mills Theory   A. J. Niemi     377
On Solutions of the One-dimensional Holstein Model    F. Pan   J. P. Draayer     384
Recent Developments on Ising and Chiral Potts Model   J. H. H. Perk   H. Au-Yang     389
Bethe Ansatz and Symmetry in Superintegrable Chiral Potts Model and Root-of-unity Six-vertex Model   S.-S. Roan     399
The Cyclic Renormalization Group   G. Sierra     410
Bohm-Aharonov Type Effects in Dissipative Atomic Systems   A.I. Solomon   S.G. Schirmer     420
Noncommutative Procedures in Spontaneous Symmetry Breaking and Quantum Differentiation   M. Suzuki     429
Lowner Equations and Dispersionless Hierarchies   K. Takasaki   T. Takebe     438
Multiparameter Quantum Deformations of Jordanian Type for Lie Superalgebras   V.N. Tolstoy     443
A Correlation-Function Bell Inequality with Improved Visibility for 3 Qubits   C.F. Wu   J.-L. Chen   L.C. Kwek   C.H. Oh     453
Topological Aspects of the Spin Hall Effect   Y.-S. Wu     462
Positive Mass Theorems and Calabi-Yau Compactification   N.Q. Xie     473
Analytic Torsion and an Invariant of Calabi-Yau Threefold   K.-I. Yoshikawa     480
Differential Galois Groups of High Order Fuchsian ODE's   N. Zenine   S. Boukraa   S. Hassani   J.-M. Maillard     490
Conformal Triality of de Sitter, Minkowski and Anti-de Sitter Spaces   B. Zhou   H.-Y. Guo     503
Some Observations on Gopakumar-Vafa Invariants of Some Local Calabi-Yau Geometries   J. Zhou     513