Differential Geometry and Physics - Proceedings of the 23th International Conference of Differential Geometric Methods in Theoretical Physics (Nankai Tracts in Mathematics)

✍ Scribed by Weiping Zhang (editor), Mo-Lin Ge (editor)

• Publisher: World Scientific Publishing Company
• Year: 2006
• Tongue: English
• Leaves: 542
• Category: Library

✦ Synopsis

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.

✦ Table of Contents

CONTENTS
Foreword by Michael Atiyah
Foreword by Chen Ning Yang
Preface
Plenary Lectures
Yangian and Applications
The hypoelliptic Laplacian and Chern-Gauss-Bonnet
S. S. Chern and Chern-Simons Terms
Localization and Conjectures from String Duality
Topologization of Electron Liquids with Chern-Simons Theory and Quantum Computation
Invited Contributions
Quasicrystals: Projections of 5-d Lattice into 2 and 3 Dimensions
Theoretical Analysis of the Double Spin Chain Compound KCuCl3
Applications of Geometric Cluster Algorithms
Equivariant Cohomology and Localization for Lie Algebroids and Applications
Directed Percolation in Two Dimensions: An Exact Solution
Generalized Drinfeld Polynomials for Highest Weight Vectors of the Borel Subalgebra of the sl2 Loop Algebra
On the Physical Significance of q-deformation in Many-body Physics
A Matrix Product Ansatz Solution of an Exactly Solvable Interacting Vertex Model
A 2h-dimensional Model with Virasoro Symmetry
3-dimensional Integrable Lattice Models and the Bazhanov- Stroganov Model
Exact Solution of Two Planar Polygon Models
Quasi-exact Solvability of Dirac Equations
Exotic Galilean Symmetry, Non-commutativity & the Hall Effect
The Energy-momentum and Related Topics in Gravitational Radiation
Quantum Operators and Hermitian Vector Fields
Electric-magnetic Duality Beyond Four Dimensions and in General Relativity
Topology and Quantum Information
Generalized Cohomologies and Differential Forms of Higher Order
Periodic Cellular Automata and Bethe Ansatz
An L-Alexander-Conway Invariant for Knots and the Volume Conjecture
Faddeev Knots, Skyrme Solitons, and Concentration-Compactness
Dynamics of Bose-Einstein Condensates
Twisted Space-Time Symmetry, Non-Commutativity and Particle Dynamics
Toeplitz Quantization and Symplectic Reduction
On Mysteriously Missing T-duals, H-flux and the T-duality Group
Murphy Operators in Knot Theory
Bethe Ansatz for the Open XXZ Chain from Functional Relations at Roots of Unity
Separation Between Spin And Charge in SU(2) Yang-Mills Theory
On Solutions of the One-dimensional Holstein Model
Recent Developments on Ising and Chiral Potts Model
Bethe Ansatz and Symmetry in Superintegrable Chiral Potts Model and Root-of-unity Six-vertex Model
The Cyclic Renormalization Group
Bohm-Aharonov Type Effects in Dissipative Atomic Systems
Noncommutative Procedures in Spontaneous Symmetry Breaking and Quantum Differentiation
Löwner Equations and Dispersionless Hierarchies
Multiparameter Quantum Deformations of Jordanian Type for Lie Superalgebras
A Correlation-Function Bell Inequality with Improved Visibility for 3 Qubits
Topological Aspects of the Spin Hall Effect
Positive Mass Theorems and Calabi-Yau Compactification
Analytic Torsion and an Invariant of Calabi-Yau Threefold
Differential Galois Groups of High Order Fuchsian ODE's
Conformal Triality of de Sitter, Minkowski and Anti-de Sitter
Spaces
Some Observations on Gopakumar-Vafa Invariants of Some Local Calabi-Yau Geometries