Fusion of the $q$-Vertex Operators and its Application to Solvable Vertex Models

Abstract

We diagonalize the transfer matrix of the inhomogeneous vertex models of the 6-vertex type in the anti-ferroelectric regime intoducing new types of q-vertex operators. The special cases of those models were used to diagonalize the s-d exchange model\cite{W,A,FW1}. New vertex operators are constructed from the level one vertex operators by the fusion procedure and have the description by bosons. In order to clarify the particle structure we estabish new isomorphisms of crystals. The results are very simple and figure out representation theoretically the ground state degenerations.

35 pages

References in corpus (7)

• Correlation Functions of the XXZ model for $\Delta <-1$
• Quantum affine symmetry in vertex models
• Vertex operators in solvable lattice models
• Difference equations for the correlation functions of the eight vertex model
• Lattice regularization of massive and massless integrable field theories
• Crystalizing the Spinon Basis
• Structure of the space of states in RSOS models

Cited by in corpus (6)

• Trace Construction of a Basis for the Solution Space of sl_N qKZ Equation
• Mixing of Ground States in Vertex Models
• Vertex Models with Alternating Spins
• The Monodromy Matrices of the XXZ Model in the Infinite Volume Limit
• Impurity Operators in RSOS Models
• Spontaneous polarization of the Kondo problem associated with the higher-spin six-vertex model