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

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. 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 Provides a comprehensive review of interactions between differential geometry and theoretical physics, contributed by many leading scholars in these fields. This work also features a coverage which includes: models and related topics in statistical physics; quantum fields, strings and M-theory; Yang-Mills fields, knot theory and related topics.