Mathematics – Quantum Algebra
Scientific paper
2008-10-23
J. Phys. A: Math. Theor. 42 (2009) 165211, 20pages
Mathematics
Quantum Algebra
For the next thirty days the full text of this article is available at http://stacks.iop.org/1751-8121/42/165211
Scientific paper
10.1088/1751-8113/42/16/165211
Belavin's $(\mathbb{Z}/n\mathbb{Z})$-symmetric model is considered on the basis of bosonization of vertex operators in the $A^{(1)}_{n-1}$ model and vertex-face transformation. The corner transfer matrix (CTM) Hamiltonian of $(\mathbb{Z}/n\mathbb{Z})$-symmetric model and tail operators are expressed in terms of bosonized vertex operators in the $A^{(1)}_{n-1}$ model. Correlation functions of $(\mathbb{Z}/n\mathbb{Z})$-symmetric model can be obtained by using these objects, in principle. In particular, we calculate spontaneous polarization, which reproduces the result by myselves in 1993.
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