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Differential Geometric Methods in Theoretical Physics

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Cover of 'Differential Geometric Methods in Theoretical Physics'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction to the 18th Conference on ‘Differential Geometrical Methods in Theoretical Physics’
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    Chapter 2 Baxterization
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    Chapter 3 Geometric Classification of Commutative Algebras of Ordinary Differential Operators
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    Chapter 4 Geometrical Aspects of Solvable Two Dimensional Models
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    Chapter 5 Explicit Soliton-Generating Bäcklund Transformations
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    Chapter 6 Integrability Conditions: Recent Results in the Theory of Integrable Models
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    Chapter 7 Nonlinear Differential Equations in Physics and Their Geometrical Integrability Properties
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    Chapter 8 Integrability Off Criticality and Quantum Integrable Systems
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    Chapter 9 Quantization of the Chiral Solitonic Bag Model
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    Chapter 10 Structure of Superselection Sectors in Low-Dimensional Quantum Field Theory
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    Chapter 11 Cyclic Cohomology, Supersymmetry and KMS States the KMS States as Generalized Elliptic Operators
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    Chapter 12 Graph Geometry, Quantized Groups and Non-Amenable Subfactors
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    Chapter 13 New Kinematics (Statistics and Symmetry) in Low-Dimensional QFT with Applications to Conformal QFT2
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    Chapter 14 Infinite Index Embeddings
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    Chapter 15 Non-Compact Current Algebras and Heterotic Superstring Vacua
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    Chapter 16 Aspects of Perturbed Conformal Field Theory, Affine Toda Field Theory and Exact S-Matrices
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    Chapter 17 Codes, Lattices, and Conformal Field Theory
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    Chapter 18 Title of Lecture Series: Topics in Conformal Field Theory
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    Chapter 19 Feigin-Fuchs Representation of String Functions
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    Chapter 20 Coulomb-Gas Construction on Higher-Genus Riemann Surfaces
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    Chapter 21 Conformal Algebras and Non-Linear Differential Equations
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    Chapter 22 S Matrices of the Tricritical Ising Model and Toda Systems
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    Chapter 23 Quantum Groups, Braiding Matrices and Coset Models
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    Chapter 24 Gauged WZW Models and the Coset Construction of Conformal Field Theories
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    Chapter 25 Flat Connection, Conformal Field Theory and Quantum Group
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    Chapter 26 Classical and Quantum Calabi-Yau Manifolds
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    Chapter 27 Conformal Field Theories and Category Theory
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    Chapter 28 Quantum Bäcklund Transformations and Conformal Algebras
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    Chapter 29 A Coset-Construction for Integrable Hierarchies
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    Chapter 30 Away from Criticality: Some Results from the S Matrix Approach
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    Chapter 31 Normal Ordered Products and Parafields in Conformal QFT2
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    Chapter 32 Chiral Gauge Field Theory in Two Dimensions
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    Chapter 33 Monodromy Properties of Conformal Field Theories and Quantum Groups
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    Chapter 34 Matrix Elements of Unitary Representation of the Quantum Group SUq (1,1) and the Basic Hypergeometric Functions
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    Chapter 35 A q-Analogue of the Lie Superalgebra osp(2,1) and its Metaplectic Representation
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    Chapter 36 q-Deformation of SU(1,1) Conformal Ward Identities and q-Strings
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    Chapter 37 Q-Deformation of sl(2,ℂ) × ZN and Link Invariants
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    Chapter 38 Quantum Group Duality in Vertex Models and other Results in the Theory of Quasitriangular Hopf Algebras
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    Chapter 39 Physics at the Planck Length and p-Adic Field Theories
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    Chapter 40 Non-Archimedian Geometry and Applications to Particle Theory
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    Chapter 41 Beyond Conformal Field Theory
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    Chapter 42 Hidden Symmetries of Strings and Their Relevance for String Quantization
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    Chapter 43 Hamiltonian Flows, SU(∞), SO(∞), USp(∞), and Strings
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    Chapter 44 A Geometric Approach to the String BRS Cohomology
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    Chapter 45 Progress in Multi-Genus Calculations for the Spinning String
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    Chapter 46 The Minimal Set of the Generators of Dehn Twists on a High Genus Riemann Surface
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    Chapter 47 Strings and Teichmueller Space
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    Chapter 48 Holomorphic Differentials on Punctured Riemann Surfaces
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    Chapter 49 Anomalies. BRS Symmetry and Superconnections
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    Chapter 50 General Covariance and Strings
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    Chapter 51 Spontaneous Symmetry Breaking in 4-Dimensional Heterotic String
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    Chapter 52 Superghost Fields in N = 2 Superconformal Algebra
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    Chapter 53 Topological Quantum Field Theories: Relations between Knot Theory and Four Manifold Theory
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    Chapter 54 Topological Quantum Theories and Representation Theory
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    Chapter 55 Topological Chern-Simons Gauge Theory and “New” Knot/Link Polynomials
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    Chapter 56 Observables in Topological Yang-Mills Theory and the Gribov Problem
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    Chapter 57 Linking the Gauss-Bonnet-Chern Theorem, Essential Hopf Maps and Membrane Solitons with Exotic Spin and Statistics
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    Chapter 58 Moduli Spaces and Topological Quantum Field Theories
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    Chapter 59 Knots in Physics
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    Chapter 60 Supermanifold, Symplectic Structure and Geometric Quantization of BRST Systems
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    Chapter 61 Ambitwistors and Conformal Gravity
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    Chapter 62 Toward Classification of Classical Lie Superalgebras
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    Chapter 63 Status of the Algebraic Approach to Super Riemann Surfaces
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    Chapter 64 Projective Embeddings of Complex Supermanifolds
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    Chapter 65 Some Results on Line Bundles over Susy-Curves
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    Chapter 66 Instantons from Supersymmetric Conformal Chiral Scalar Superfield Theories
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    Chapter 67 Einstein-Hermitian Bundles over Complex Surfaces
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    Chapter 68 Symplectic Reduction of the Minimally Coupled Massless Superparticle in D=10
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    Chapter 69 Quantum Gravity and the Berry Phase
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    Chapter 70 Gravity and Lorentz Breakdown in Higher-Dimensional Theories and Strings
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    Chapter 71 Current Algebra and Extended 2D Gravity with Higher Spin Gauge Field
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    Chapter 72 The Parametric Manifold Picture of Space-Time
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    Chapter 73 Gravity as an SO(3,2) Gauge Theory
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    Chapter 74 Heuristics of Solitary Waves in Non-Integrable Field Theories
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    Chapter 75 Lattice Approach of the Antiferromagnetic Heisenberg Model in 2+1 Dimensions and the Hopf Chern-Simons Terms
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    Chapter 76 Is it Possible to do Canonical Quantum Field Theory Rigorously?
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    Chapter 77 A Global Theory of Parametrized Quantum Mechanics
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    Chapter 78 Principal Bundles versus Lie Groupoids in Gauge Theory
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    Chapter 79 Static and Axially Symmetric Soliton Solutions to the Self-Dual SU(3) and SU(2) Gauge Fields in a Euclidean Space
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    Chapter 80 Superalgebra and Superspace of Vector Spinor Generators
Overall attention for this book and its chapters
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Title
Differential Geometric Methods in Theoretical Physics
Published by
Springer, Boston, MA, January 1990
DOI 10.1007/978-1-4684-9148-7
ISBNs
978-1-4684-9150-0, 978-1-4684-9148-7
Editors

Ling-Lie Chau, Werner Nahm

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