Description

Book Synopsis
Based on the NSF-CBMS Regional Conference lectures presented by Miwa in June 1993, this book surveys developments in the interplay between solvable lattice models in statistical mechanics and representation theory of quantum affine algebras. It also briefly discusses the limit of the $XXX$ model.

Table of Contents
Background of the problem The spin $1/2$ XXZ model for $\Delta <-1$ The six-vertex model in the anti-ferroelectric regime Solvability and symmetry Correlation functions-physical derivation Level one modules and bosonization Vertex operators Space of states-mathematical picture Traces of vertex operators Correlation functions and form factors The $XXX$ limit $q\rightarrow-1$ Discussions List of formulas.

Algebraic Analysis of Solvable Lattice Models

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    A Paperback by American Mathem American Mathem

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      Publisher: MP-AMM American Mathematical
      Publication Date: Publication Date:
      ISBN13: 9780821803202, 978-0821803202
      ISBN10:

      Description

      Book Synopsis
      Based on the NSF-CBMS Regional Conference lectures presented by Miwa in June 1993, this book surveys developments in the interplay between solvable lattice models in statistical mechanics and representation theory of quantum affine algebras. It also briefly discusses the limit of the $XXX$ model.

      Table of Contents
      Background of the problem The spin $1/2$ XXZ model for $\Delta <-1$ The six-vertex model in the anti-ferroelectric regime Solvability and symmetry Correlation functions-physical derivation Level one modules and bosonization Vertex operators Space of states-mathematical picture Traces of vertex operators Correlation functions and form factors The $XXX$ limit $q\rightarrow-1$ Discussions List of formulas.

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