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...
Free Field Construction For The ABF Models In Regime II (2000)
Michio Jimbo, Hitoshi Konno, Satoru Odake, Yaroslav Pugai, Jun'ichi Shiraishi
. The Wakimoto construction for the quantum affine algebra U q ( b sl 2 ) admits a reduction to the q-deformed parafermion algebras. We interpret the latter theory as a free field realization of the...
A coset-type construction for the deformed Virasoro algebra (1997)
Jimbo, Michio, Shiraishi, Jun'ichi
An analog of the minimal unitary series representations for the deformed Virasoro algebra is constructed using vertex operators of the quantum affine algebra $U_q(\hat{sl}_2)$. A similar construction...
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...
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...
A $q$-anaolg of the sixth Painlev\'e equation (1995)
Jimbo, Michio, Sakai, Hidetaka
A $q$-difference analog of the sixth Painlev\'e equation is presented. It arises as the condition for preserving the connection matrix of linear $q$-difference equations, in close analogy with the...
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...
A q-analog of the sixth Painlevé equation (1995)
A q-difference analog of the sixth Painlevé equation is presented. It arises as the condition for preserving the connection matrix of linear q-difference equations, in close analogy with the...
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
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...
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