منابع مشابه
q-VERTEX OPERATORS FOR QUANTUM AFFINE ALGEBRAS
q-vertex operators for quantum affine algebras have played important role in the theory of solvable lattice models and the quantum KnizhnikZamolodchikov equation. Explicit constructions of these vertex operators for most level one modules are known for classical types except for type C (1) n , where the level −1/2 have been constructed. In this paper we survey these results for the quantum affi...
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A fractal set which corresponds to the six-vertex model has been obtained and a relationship between the free energy of the six-vertex model and the fractal dimension of the fractal set was established. Notions which correspond to the transfer matrix and the n-equivalence has been found in the area of the fractal geometry. This correspondence can be generalized to the case of the models suitabl...
متن کاملApproximability of the Six-vertex Model
In this paper we take the rst step toward a classi cation of the approximation complexity of the six-vertex model, an object of extensive research in statistical physics. Our complexity results conform to the phase transition phenomenon from physics. We show that the approximation complexity of the six-vertex model behaves dramatically di erently on the two sides separated by the phase transiti...
متن کاملComplexity classification of the six-vertex model
We prove a complexity dichotomy theorem for the six-vertex model. For every setting of the parameters of the model, we prove that computing the partition function is either solvable in polynomial time or #P-hard. The dichotomy criterion is explicit.
متن کاملThe six-vertex model on random lattices
In this letter, the 6-vertex model on dynamical random lattices is defined via a matrix model and rewritten (following I. Kostov) as a deformation of the O(2) model. In the large N planar limit, an exact solution is found at criticality. The critical exponents of the model are determined; they vary continously along the critical line. The vicinity of the latter is explored, which confirms that ...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2014
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2014.06.024