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arXiv · hep-th/9804063

Mixing of Ground States in Vertex Models

Jin Hong·Seok-Jin Kang·Tetsuji Miwa·Robert Weston
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Abstract

We consider the analogue of the 6-vertex model constructed from alternating spin n/2 and spin m/2 lines, where $1\leq n<m$. We identify the transfer matrix and the space on which it acts in terms of the representation theory of $U_q(sl_2)$. 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 $U_q(sl_2)$ and the deformed Virasoro algebra.

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Jin Hong, Seok-Jin Kang, Tetsuji Miwa, Robert Weston. 1998-06-16. Mixing of Ground States in Vertex Models. https://doi.org/10.1088/0305-4470%2F31%2F28%2F001

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