The vertex-face correspondence and correlation functions of the fusion eight-vertex model. I: The general formalism

Takeo Kojima, Hitoshi Konno, Robert Weston

Research output: Contribution to journalArticle

20 Citations (Scopus)

Abstract

By making use of the vertex-face correspondence, we give an algebraic analysis formulation of correlation functions of the k × k fusion eight-vertex model in terms of the corresponding fusion SOS model. Here k ? Z>0. A general formula for correlation functions is derived as a trace over the space of states of lattice operators such as the corner-transfer matrices, the half-transfer matrices (vertex operators) and the tail operator. We give a realization of these lattice operators as well as the space of states as objects in the level k representation theory of the elliptic algebra Uq,p (sl2). © 2005 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)348-398
Number of pages51
JournalNuclear Physics B
Volume720
Issue number3
DOIs
Publication statusPublished - 8 Aug 2005

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