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A decomposition of the level-one q-deformed Fock representations of U q (b sl n) is given. It is found that the action of U 0 q (b sl n) on these Fock spaces is centralized by a Heisenberg algebra,… (More)

- Michio Jimbo, Tetsuji Miwa
- 1996

An integral solution to the quantum Knizhnik-Zamolodchikov (qKZ) equation with |q| = 1 is presented. Upon specialization, it leads to a conjectural formula for correlation functions of the XXZ model… (More)

- Yoshinori Asai, Michio Jimbo, Tetsuji Miwa, Yaroslav Pugai
- 2008

We present a free boson realization of the vertex operators and their duals for the solvable SOS lattice model of A (1) n−1 type. We discuss a possible connection to the calculation of the… (More)

The XXZ spin chain with a boundary magnetic field h is considered, using the vertex operator approach to diagonalize the Hamiltonian. We find explicit bosonic formulas for the two vacuum vectors with… (More)

- Omar Foda, Kenji Iohara, Michio Jimbo, Rinat Kedem, Tetsuji Miwa, Hong Yan
- 1994

An elliptic deformation of ŝl2 is proposed. Our presentation of the algebra is based on the relation RLL = LLR∗, where R and R∗ are eight-vertex R-matrices with the elliptic moduli chosen… (More)

Correlation functions and form factors in vertex models or spin chains are known to satisfy certain difference equations called the quantum Knizhnik-Zamolodchikov equations. We find similar… (More)

- Makoto Idzumi, Kenji Iohara, Michio Jimbo, Tetsuji Miwa, Toshiki Nakashima, Tetsuji Tokihiro
- 1992

We study the higher spin anologs of the six vertex model on the basis of its symmetry under the quantum affine algebra Uq(ŝl2 ). Using the method developed recently for the XXZ spin chain, we… (More)

- Omar Foda, Michio Jimbo, Tetsuji Miwa, Kei Miki, Atsushi Nakayashiki

We formulate the basic properties of q-vertex operators in the context of the Andrews-Baxter-Forrester (ABF) series, as an example of face-interaction models, derive the q-difference equations… (More)

The restricted solid-on-solid models in the anti-ferromagnetic regime is studied in the framework of quantum affine algebras. Following the line developed recently for vertex models, a representation… (More)

We propose that the correlation functions of the inhomogeneous eightvertex model in the anti-ferroelectric regime satisfy a system of difference equations with respect to the spectral parameters.… (More)