S-Space College of Natural Sciences (자연과학대학) Dept. of Mathematical Sciences (수리과학부) Journal Papers (저널논문_수리과학부)
Mixing of ground states in vertex models
- Hong, Jin; Kang, Seok-Jin; Miwa, Tetsuji; Weston, Robert
- Issue Date
- Institute of Physics
- J. Phys. A: Math. Gen. 31 L515-L525
- 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.
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