Form factors of spin 1 analogue of the eight-vertex model

Abstract

The twenty-one-vertex model, the spin $1$ analogue of the eight-vertex model is considered on the basis of free field representations of vertex operators in the $2\times 2$-fold fusion SOS model and vertex-face transformation. The tail operators, which translate corner transfer matrices of the twenty-one-vertex model into those of the fusion SOS model, are constructed by using free bosons and fermions for both diagonal and off-diagonal matrix elements with respect to the ground state sectors. Form factors of any local operators are therefore obtained in terms of multiple integral formulae, in principle. As the simplest example, the two-particle form factor of the spin operator is calculated explicitly.

35 pages, 4 figures. As the simplest example, the two-particle form factor of the spin operator is calculated explicitly. Trigonometric limit of the form factors is examined. Many mistakes were removed

References in corpus (5)

• Traces on the Sklyanin algebra and correlation functions of the eight-vertex model
• Free field construction for the eight-vertex model: representation for form factors
• The Vertex-Face Correspondence and Correlation Functions of the Fusion Eight-Vertex Model I: The General Formalism
• Vertex operator approach for form factors of Belavin's $(Z/nZ)$-symmetric model
• Vertex operator approach for correlation functions of Belavin's (Z/nZ)-symmetric model