Mixing of Ground States in Vertex Models

Abstract

We consider the analogue of the 6-vertex model constructed from alternating spin n/2 and spin m/2 lines, where $1\le n<m$. We identify the transfer matrix and the space on which it acts in terms of the representation theory of $U_q(s{l}_2)$. We diagonalise the transfer matrix and compute the S-matrix. We give a trace formula for local correlation functions. When n=1, the 1-point function of a spin m/2 local variable for the alternating lattice with a particular ground state is given as a linear combination of the 1-point functions of the pure spin m/2 model with different ground states. The mixing ratios are calculated exactly and are expressed in terms of irreducible characters of $U_q(s{l}_2)$ and the deformed Virasoro algebra.

12 pages, LaTeX, typos corrected

References in corpus (2)

• Critical Behaviour of integrable mixed spins chains
• The Monodromy Matrices of the XXZ Model in the Infinite Volume Limit

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