A Vertex Operator Approach for Form Factors of Belavin's $(\mathbb{Z}/n\mathbb{Z})$-Symmetric Model and Its Application

Abstract

A vertex operator approach for form factors of Belavin's $(\mathbb{Z}/n\mathbb{Z})$-symmetric model is constructed on the basis of bosonization of vertex operators in the $A_{n-1}^{(1)}$ model and vertex-face transformation. As simple application for $n=2$, we obtain expressions for $2m$-point form factors related to the ${\sigma }^z$ and ${\sigma }^x$ operators in the eight-vertex model.

partly based on a talk given in International Workshop RAQIS'10, Recent Advances in Quantum Integrable Systems, held at LAPTH, Annecy-le-Vieux, France, 15--18 June 2010

References in corpus (4)

• Long-distance asymptotics of spin-spin correlation functions for the XXZ spin chain
• The elliptic algebra U_{q,p}(\hat{sl}_N) and the Drinfeld realization of the elliptic quantum group B_{q,λ}(\hat{sl}_N)
• 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