Differential Geometry and Physics: Proceedings of the 23rd International Conference of Differential Geometric Methods in Theoretical Physics, Tianjin, China, 20-26 August 2005

by Ge, Mo-Lin; Zhang, Weiping

• ISBN13: 9789812703774
• ISBN10: 9812703772
• Format: Hardcover
• Copyright: 2006-12-11
• Publisher: World Scientific Pub Co Inc

Summary

This volumes provides an 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.

Table of Contents

Foreword	p. vii
Foreword	p. ix
Preface	p. xi
Plenary Lectures	p. 1
Yangian and Applications	p. 3
The hypoelliptic Laplacian and Chern-Gauss-Bonnet	p. 38
S. S. Chern and Chern-Simons Terms	p. 53
Localization and Conjectures from String Duality	p. 63
Topologization of Electron Liquids with Chern-Simons Theory and Quantum Computation	p. 106
Invited Contributions	p. 121
Quasicrystals: Projections of 5-d Lattice into 2 and 3 Dimensions	p. 123
Theoretical Analysis of the Double Spin Chain Compound KCuCl[subscript 3]	p. 133
Applications of Geometric Cluster Algorithms	p. 142
Equivariant Cohomology and Localization for Lie Algebroids and Applications	p. 152
Directed Percolation in Two Dimensions: An Exact Solution	p. 160
Generalized Drinfeld Polynomials for Highest Weight Vectors of the Borel Subalgebra of the sl[subscript 2] Loop Algebra	p. 169
On the Physical Significance of q-deformation in Many-body Physics	p. 179
A Matrix Product Ansatz Solution of an Exactly Solvable Interacting Vertex Model	p. 190
A 2h-dimensional Model with Virasoro Symmetry	p. 200
3-dimensional Integrable Lattice Models and the Bazhanov-Stroganov Model	p. 210
Exact Solution of Two Planar Polygon Models	p. 221
Quasi-exact Solvability of Dirac Equations	p. 232
Exotic Galilean Symmetry, Non-commutativity & the Hall Effect	p. 241
The Energy-momentum and Related Topics in Gravitational Radiation	p. 248
Quantum Operators and Hermitian Vector Fields	p. 256
Electric-magnetic Duality Beyond Four Dimensions and in General Relativity	p. 266
Topology and Quantum Information	p. 273
Generalized Cohomologies and Differential Forms of Higher Order	p. 283
Periodic Cellular Automata and Bethe Ansatz	p. 293
An L[superscript 2]-Alexander-Conway Invariant for Knots and the Volume Conjecture	p. 303
Faddeev Knots, Skyrme Solitons, and Concentration-Compactness	p. 313
Dynamics of Bose-Einstein Condensates	p. 323
Twisted Space-Time Symmetry, Non-Commutativity and Particle Dynamics	p. 333
Toeplitz Quantization and Symplectic Reduction	p. 343
On Mysteriously Missing T-duals, H-flux and the T-duality Group	p. 350
Murphy Operators in Knot Theory	p. 359
Bethe Ansatz for the Open XXZ Chain from Functional Relations at Roots of Unity	p. 367
Separation Between Spin And Charge in SU(2) Yang-Mills Theory	p. 377
On Solutions of the One-dimensional Holstein Model	p. 384
Recent Developments on Ising and Chiral Potts Model	p. 389
Bethe Ansatz and Symmetry in Superintegrable Chiral Potts Model and Root-of-unity Six-vertex Model	p. 399
The Cyclic Renormalization Group	p. 410
Bohm-Aharonov Type Effects in Dissipative Atomic Systems	p. 420
Noncommutative Procedures in Spontaneous Symmetry Breaking and Quantum Differentiation	p. 429
Lowner Equations and Dispersionless Hierarchies	p. 438
Multiparameter Quantum Deformations of Jordanian Type for Lie Superalgebras	p. 443
A Correlation-Function Bell Inequality with Improved Visibility for 3 Qubits	p. 453
Topological Aspects of the Spin Hall Effect	p. 462
Positive Mass Theorems and Calabi-Yau Compactification	p. 473
Analytic Torsion and an Invariant of Calabi-Yau Threefold	p. 480
Differential Galois Groups of High Order Fuchsian ODE's	p. 490
Conformal Triality of de Sitter, Minkowski and Anti-de Sitter Spaces	p. 503
Some Observations on Gopakumar-Vafa Invariants of Some Local Calabi-Yau Geometries	p. 513
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