Mathphys odyssey 2001.數(shù)學物理學歷程 2001

內(nèi)容概要

Developments in mathematical physics during the second half of the 20th century influenced a number of mathematical areas, among the more significant being representation theory, differential equations, combinatorics, and algebraic geometry. In all of them, the dynamic role of integrable models has been central, largely due to two essential properties: the fact that integrable models possess infinite degrees of freedom and infinite dimensional symmetries. This volume focuses on the ongoing importance of integrability in covering the following topics: conformal field theory, massive quantum field theory, solvable lattice models, quantum affine algebras, the Painlevé equations and combinatorics.

書籍目錄

Preface Wavevector-Dependent Susceptibility in Aperiodic Planar Ising ModelsCorrelation Functions and Susceptibility in the Z-Invariant Ising Model A Rapidity-Independent Parameter in the Star-Triangle RelationEvaluation of Integrals Representing Correlations in the XXX Heisenberg Spin Chain A Note on Quotients of the Onsager Algebra Evaluation Parameters and Bethe Roots for the Six-Vertex Model at Roots of Unity Normalization Factors, Reflection Amplitudes and Integrable Systems Vertex Operator Algebra Arising from the Minimal Series M(3,p) and Monomial Basis Paths, Crystals and Fermionic Formulae The Nonlinear Steepest Descent Approach to the Asymptotics of the Second Painleve Transcendent in the Complex DomainGeneralized Umemura Polynomials and the Hirota-Miwa EquationCorrelation Functions of Quantum Integrable Models: The XXZ Spin ChainOn Form Factors of the SU(2) Invariant Thirring ModelIntegrable Boundaries and Universal TBA Functional EquationsConformal Field Theories, Graphs and Quantum Algebrasq-Supernomial Coefficients: From Riggings to RibbonsSeparation of Variables for Quantum Integrable Models Related to U[subscript q](sl[subscript N]) On a Distribution Function Arising in Computational Biology

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