Jin Hong et al 1998 J. Phys. A: Math. Gen. 31 L515 doi:10.1088/0305-4470/31/28/001
Mixing of ground states in vertex models
Jin Hong
, Seok-Jin Kang, Tetsuji Miwa
and Robert Weston§
LETTER TO THE EDITOR
We consider the analogue of the six-vertex model constructed from alternating spin n/2 and spin m/2 lines, where 
. We identify the transfer matrix and the space on which it acts in terms of the representation theory of 
. We diagonalize the transfer matrix and compute the S-matrix. We give a trace formula for local correlation functions. When n = 1, the one-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 one-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 and the deformed Virasoro algebra.
- PACS
- MSC
-
15A57 Other types of matrices (Hermitian, skew-Hermitian, etc.)
20Cxx Representation theory of groups (See also 19A22 (for representation rings and Burnside rings))
- Subjects
- Dates
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Issue 28 (17 July 1998)
Received 24 April 1998
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Mixing of ground states in vertex models
Jin Hong et al 1998 J. Phys. A: Math. Gen. 31 L515
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