Type II vertex operators for the $A_{n-1}^{(1)}$ face model

Abstract

Presented is a free boson representation of the type II vertex operators for the $A_{n-1}^{(1)}$ face model. Using the bosonization, we derive some properties of the type II vertex operators, such as commutation, inversion and duality relations.

20 pages, LaTEX 2e

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• Diagonalization of infinite transfer matrix of boundary $U_{q,p}(A_{N-1}^{(1)})$ face model
• The critical $A_{n-1}^{(1)}$ chain
• Vertex operator approach for form factors of Belavin's $(Z/nZ)$-symmetric model
• Free field approach to diagonalization of boundary transfer matrix : recent advances
• A Vertex Operator Approach for Form Factors of Belavin's $(\mathbb{Z}/n\mathbb{Z})$-Symmetric Model and Its Application