This volume will be the first reference book devoted specially to the Yang-Baxter equation. The subject relates to broad areas including solvable models in statistical mechanics, factorized S matrices, quantum inverse scattering method, quantum groups, knot theory and conformal field theory. The articles assembled here cover major works from the pioneering papers to classical Yang-Baxter equation, its quantization, variety of solutions, constructions and recent generalizations to higher genus solutions.

This volume contains Introductory Notes and major reprints on conformal field theory and its applications to 2-dimensional statistical mechanics of critical phenomena. The subject relates to many different areas in contemporary physics and mathematics, including string theory, integrable systems, representations of infinite Lie algebras and automorphic functions.

This book contains the proceedings of two international conferences: a satellite meeting of the IUPAP Statphys-19 Conference and the Seventh Nankai Workshop, held in Tianjin, China in August 1995. The central theme of the two conferences, which drew participants from 18 countries, was the Yang–Baxter equation and its development and applications. With topics ranging from quantum groups, vertex and spin models, to applications in condensed matter physics, this book reflects the current research interest of integrable systems in statistical mechanics. Contents:Satellite Meeting of Statphys-19:Boundary Yang–Baxter in the RSOS/SOS Representation (C Ahn & W M Koo)Quantum Domains in Ferromagnetic Anisotropic Heisenberg Chains (F C Alcaraz et al.)The Generalized Chiral Clock Model and Its Phase Diagram (H Au-Yang & J H H Perk)Algebraic Solution of the Coincidence Problem for Crystals and Quasicrystals (M Baake)Reflection Equations and Surface Critical Phenomena (M T Batchelor)Quantum Field Theories in Terms of Group-Valued Local Fields: An Overview (L-L Chau)U(1)-Invariant Local and Integrable Lattice Formulation of the Massive Thirring Model (C Destri)Dilute Algebras and Solvable Lattice Models (U Grimm)Mutual Exclusion Statistics in the Exactly Solvable Model of the Mott Metal-Insulator Transition (Y Hatsugai et al.) Quantum Group and the Hofstadter Problem (Y Hatsugai et al.)Domain Walls in the Spin-S Quantum Ising Chain (M Henkel)Probability of Phase Separation and Two Point Temperature Correlation Functions for the Bose Gas with Delta Interaction (A R Its & V E Korepin)Stochastic Reaction-Diffusion Processes, Operator Algebras and Integrable Quantum Spin Chains (G M Schütz)Vertex-Face Correspondence in Elliptic Solutions of the Yang–Baxter Equation (Y Shibukawa)Logarithmic Anomalies of Susceptibility for Solvable Models (M Takahashi)On Chiral Hubbard Model at Strong Interaction (D F Wang)Soluble Free-Fermion Models in d Dimensions (F Y Wu)Bosonization Based on Bethe Ansatz Equations and Proof of the Conformal Conjecture (Y-S Wu & Y Yu)and other papersThe Seventh Nankai Workshop:Corner Transfer Matrix of Asymmetric Vertex Models (H-P Eckle)Scaling Properties of the Ising Model in a Field (U Grimm & B Nienhuis)One Dimensional Lattice Models of Electrons with r–2 Hopping and Exchange (Ch Gruber & D F Wang)Symmetry Group Invariants for Spontaneous Magnetization (J-M Maillard)Experimental Realizations of Integrable Reaction-Diffusion Processes in Biological and Chemical Systems (G M Schütz)Zamolodchikov–Faddeev Algebra in 2-Component Anyons (Y-L Shen & M-L Ge)and other papers Readership: Theoretical physicists and mathematicians. keywords:

The Oskar Klein Memorial Lecture series has become a very successful tradition in Swedish physics since it started in 1988. Theoretical high-energy physics dominates the subjects of the lectures, mirroring one of Klein's own main interests. This single volume is a compilation of the unique lectures previously produced in three separate volumes. The lectures are by world renowned experts in physics who have all contributed to the excitement of the field over the years. They continue to be of value to students and teachers alike. Contents:Part I:Oskar Klein (Inga Fischer-Hjalmars and Bertel Laurent)Symmetry and Physics (Chen Ning Yang)From the Bethe–Hulthén Hypothesis to the Yang–Baxter Equation (Chen Ning Yang)Beyond the Standard Models (Steven Weinberg)Precision Tests of Quantum Mechanics (Steven Weinberg)Quantum Theory and Five-Dimensional Relativity Theory (Oskar Klein)The Atomicity of Electricity as a Quantum Theory Law (Oskar Klein)On the Field Theory of Charged Particles (Oskar Klein)From My Life of Physics (Oskar Klein)Scientific Bibliography of Oskar KleinPart II:Theory of Neutrinos from the Sun (Hans A Bethe)Supernova Theory (Hans A Bethe)The Big Bang and Cosmic Inflation (Alan H Guth)Do the Laws of Physics Allow Us to Create a New Universe? (Alan H Guth)The Klein–Nishina Formula (Gösta Ekspong)On the Scattering of Radiation by Free Electrons According to Dirac's New Relativistic Quantum Dynamics (O Klein and Y Nishina)The Reflection of Electrons at a Potential Jump According to Dirac's Relativistic Dynamics (O Klein)Excerpts from Some Autobiographical Notes (O Klein)Part III:The Weak Interaction: Its History and Impact on Physics (T D Lee)Electron Orbits and Superconductivity of Carbon 60 (T D Lee)The Power of Duality — Exact Results in 4D SUSY Field Theory (N Seiberg)String Theory as a Universal Language (A M Polyakov)The Cosmological Tests (P J E Peebles)Anti-de Sitter Space, Thermal Phase Transition, and Confinement in Gauge Theories (Edward Witten)Can There Be Physics Without Experiments? Challenges and Pitfalls (Gerard 't Hooft) Readership: Students and researchers interested in theoretical and astrophysics. Keywords:Physics;Oskar Klein

With Translated Reprints by O KleinThe Oskar Klein Memorial Lectures, instituted in 1988 and supported by the Royal Swedish Academy of Sciences through its Nobel Committee for Physics, are given at Stockholm University in Sweden, where Oskar Klein was professor in Theoretical Physics 1930-1962.Volume 1 contains the 1988 lectures on “Symmetry and Physics” and “From the Bethe-Hulthén Hypothesis to the Yang-Baxter Equation,” given by C N Yang, Nobel Prize winner (1957) and professor at the State University of New York at Stony Brook. The 1989 lectures on “Beyond the Standard Models,” referring to models for cosmology and elementary particles, and on “Precision Tests of Quantum Mechanics” were given by Steven Weinberg, Nobel Prize winner (1979) and professor at the University of Texas at Austin. The volume also contains translations of some of Klein's original papers, one on intermediate charged fields (original in French, 1938), another on five-dimensional quantum theory (”Kaluza-Klein theory,” original in German, 1926). A scientific biography of Klein, written by Professors I. Fischer- Hjalmars and B Laurent, who both knew Klein well, is included as well as an autobiography by Klein.