Masaki Kashiwara, Tetsuji Miwa, Eugene Stern
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
Fermionic formulas for $(k,3)$-admissible configurations (2004)
Feigin, Boris, Jimbo, Michio, Miwa, Tetsuji, Mukhin, Eugene, Takeyama, Yoshihiro
We obtain the fermionic formulas for the characters of $(k, r)$-admissible configurations in the case of $r=2$ and $r=3$. This combinatorial object appears as a label of a basis of certain subspace...
Particle content of the $(k,3)$-configurations (2004)
Feigin, Boris, Jimbo, Michio, Miwa, Tetsuji, Mukhin, Eugene, Takeyama, Yoshihiro
For all $k$, we construct a bijection between the set of sequences of non-negative integers ${\bf a}=(a_i)_{i\in{\bf Z}_{\geq0}}$ satisfying $a_i+a_{i+1}+a_{i+2}\leq k$ and the set of rigged...
Feigin, Boris, Hong, Jin, Miwa, Tetsuji
We bosonize certain components of level $\ell$ $U_q(\hat{sl}_2)$-intertwiners of $(\ell + 1)$-dimensions. For $\ell = 2$, these intertwiners, after certain modification by bosonic vertex operators,...
Determinat formula for solutions of the $U_q(sl_n)$ qKZ equation at $|q|=1$ (1999)
Miwa, Tetsuji, Takeyama, Yoshihiro, Tarasov, Vitaly
We construct the hypergeometric solutions for the quantized KZ equation with values in a tensor product of vector representations of $U_q(sl_n)$ at $|q|=1$ and give an explicit formula for the...
Miwa, Tetsuji, Takeyama, Yoshihiro
We write the integral formula of Tarasov-Varchenko type for the solutions to the quantum Knizhnik-Zamolodchikov associated with a tensor product the of vector representations of sl_n. We consider the...
Extended vertex operator algebras and monomial bases (1999)
We present a vertex operator algebra which is an extension of the level $k$ vertex operator algebra for the $\hat{sl}_2$ conformal field theory. We construct monomial basis of its irreducible...
Miwa, Tetsuji, Takeyama, Yoshihiro
The fundamental matrix solution of the quantum Knizhnik-Zamolodchikov equation associated with quantum affine sl2 algebra is constructed for |q|=1. The formula for its determinant is given in terms...
Vertex Models with Alternating Spins (1998)
Hong, Jin, Kang, Seok-Jin, Miwa, Tetsuji, Weston, Robert
The diagonalisation of the transfer matrices of solvable vertex models with alternating spins is given. The crystal structure of (semi-)infinite tensor products of finite-dimensional...
Mixing of Ground States in Vertex Models (1998)
Hong, Jin, Kang, Seok-Jin, Miwa, Tetsuji, Weston, Robert
We consider the analogue of the 6-vertex model constructed from alternating spin n/2 and spin m/2 lines, where $1\leq n
The Monodromy Matrices of the XXZ Model in the Infinite Volume Limit (1997)
We consider the XXZ model in the infinite volume limit with spin half quantum space and higher spin auxiliary space. Using perturbation theory arguments, we relate the half infinite transfer matrices...
We diagonalise the transfer matrix of boundary ABF models using bosonized vertex operators. We compute the boundary S-matrix and check the scaling limit against known results for perturbed boundary...
Massless $XXZ$ Model and Degeneration of the Elliptic Algebra $A_{q,p}(\widehat{sl_2})$ (1996)
Jimbo, Michio, Konno, Hitoshi, Miwa, Tetsuji
We consider an algebraic structure of the $XXZ$ model in the gapless regime. We argue that a certain degeneration limit of the elliptic algebra $A_{q,p}(\widehat{sl_2})$ is a relevant object. We give...
Zeros and poles of quantum current operators and the condition of quantum integrability (1996)
For the current realization of the affine quantum groups, a simple comultiplication for the quantum current operators was given by Drinfeld. With this comultiplication, we study the zeros and poles...
Perfect Crystals and q-deformed Fock Spaces (1996)
Kashiwara, Masaki, Miwa, Tetsuji, Petersen, Jens-Ulrik H., Yung, Chong Ming
A general scheme for the wedge construction of q-deformed Fock spaces using the theory of perfect crystals is presented. Let $U_q(\g)$ be a quantum affine algebra. Let $V$ be a finite-dimensional...
QKZ equation with |q|=1 and correlation functions of the XXZ model in the gapless regime (1996)
An integral solution to the quantum Knizhnik-Zamolodchikov ($q$KZ) equation with $|q|=1$ is presented. Upon specialization, it leads to a conjectural formula for correlation functions of the XXZ...
Decomposition of $q$-deformed Fock spaces (1995)
Kashiwara, Masaki, Miwa, Tetsuji, Stern, Eugene
A decomposition of the level-one $q$-deformed Fock representations of $\uqn$ is given. It is found that the action of $\upqn$ on these Fock spaces is centralized by a Heisenberg algebra, which arises...
Difference Equations in Spin Chains with a Boundary (1995)
Jimbo, Michio, Kedem, Rinat, Konno, Hitoshi, Miwa, Tetsuji, Weston, Robert
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...
Vertex operators in solvable lattice models (1993)
Foda, Omar, Jimbo, Michio, Miwa, Tetsuji, Miki, Kei, Nakayashiki, Atsushi
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...
Diagonalization of the $XXZ$ Hamiltonian by vertex operators (1993)
Davies, Brian, Foda, Omar, Jimbo, Michio, Miwa, Tetsuji, Nakayashiki, Atsushi
Perfect crystals of quantum affine Lie algebras (1992)
Kang, Seok-Jin, Kashiwara, Masaki, Misra, Kailash C., Miwa, Tetsuji, Nakashima, Toshiki, Nakayashiki, Atsushi
Quantum affine symmetry in vertex models (1992)
Idzumi, Makoto, Iohara, Kenji, Jimbo, Michio, Miwa, Tetsuji, Nakashima, Toshiki, Tokihiro, Tetsuji
We study the higher spin anologs of the six vertex model on the basis of its symmetry under the quantum affine algebra $U_q(\slth)$. Using the method developed recently for the XXZ spin chain, we...
Structure of the space of states in RSOS models (1992)
Jimbo, Michio, Miwa, Tetsuji, Ohta, Yasuhiro
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...
Correlation Functions of the XXZ model for $\Delta (1992)
Jimbo, Michio, Miki, Kei, Miwa, Tetsuji, Nakayashiki, Atsushi
A new approach to the correlation functions is presented for the XXZ model in the anti-ferroelectric regime. The method is based on the recent realization of the quantum affine symmetry using vertex...
Corner Transfer Matrices and Quantum Affine Algebras (1992)
Let H be the corner-transfer-matrix Hamiltonian for the six-vertex model in the anti-ferroelectric regime. It acts on the infinite tensor product W = V . V . V ....., where is the 2-dimensional...
Diagonalization of the XXZ Hamiltonian by Vertex Operators (1992)
Davies, Brian, Foda, Omar, Jimbo, Michio, Miwa, Tetsuji, Nakayashiki, Atsushi
We diagonalize the anti-ferroelectric XXZ-Hamiltonian directly in the thermodynamic limit, where the model becomes invariant under the action of affine U_q( sl(2) ). Our method is based on the...
Combinatorics of representations of $U_q(\widehat{{\germ s}{\germ l}}(n))$ at $q=0$ (1991)
Jimbo, Michio, Misra, Kailash C., Miwa, Tetsuji, Okado, Masato