We give one parameter deformation of level $k$ free field realization of the screening current of the elliptic algebra $U_{q,p}(sl_2^)$. By means of these free field realizations, we construct...
We explicitly construct two classes of infinitly many commutative operators in terms of the deformed W-algebra $W_{qt}(sl_N^)$, and give proofs of the commutation relations of these operators. We...
The Integrals of Motion for the Deformed W-Algebra Wqt(sl_N^) (2007)
Feigin, B., Kojima, T., Shiraishi, J., Watanabe, H.
We review the deformed W-algebra Wqt(sl_N^) and its screening currents. We explicitly construct the local integrals of motion I_n for this deformed W-algebra. We explicitly construct the nonlocal...
The Integrals of Motion for the Deformed Virasoro Algebra (2007)
Feigin, B., Kojima, T., Shiraishi, J., Watanabe, H.
We explicitly construct two classes of infinitly many commutative operators in terms of the deformed Virasoro algebra. We call one of them local integrals and the other nonlocal one, since they can...
Sugawara and vertex operator constructions for deformed Virasoro algebras (2006)
Arnaudon, D., Avan, J., Frappat, L., Ragoucy, E., Shiraishi, J.
From the defining exchange relations of the A_{q,p}(gl_{N}) elliptic quantum algebra, we construct subalgebras which can be characterized as q-deformed W_N algebras. The consistency conditions...
Sugawara and vertex operator constructions for deformed Virasoro algebras (2006)
Arnaudon, D., Avan, J., Frappat, L., Ragoucy, E., Shiraishi, J.
From the defining exchange relations of the A_{q,p}(gl_{N}) elliptic quantum algebra, we construct subalgebras which can be characterized as q-deformed W_N algebras. The consistency conditions...
Sugawara and vertex operator constructions for deformed Virasoro algebras (2006)
Arnaudon, D., Avan, J., Frappat, L., Ragoucy, E., Shiraishi, J.
From the defining exchange relations of the A_{q,p}(gl_{N}) elliptic quantum algebra, we construct subalgebras which can be characterized as q-deformed W_N algebras. The consistency conditions...
Sugawara and vertex operator constructions for deformed Virasoro algebras (2006)
Arnaudon, D., Avan, J., Frappat, L., Ragoucy, E., Shiraishi, J.
From the defining exchange relations of the A_{q,p}(gl_{N}) elliptic quantum algebra, we construct subalgebras which can be characterized as q-deformed W_N algebras. The consistency conditions...
Essential Microenvironment for Thymopoiesis is Preserved in Human Adult and Aged Thymus (2003)
J. Shiraishi, M. Utsuyama, S. Seki, H. Akamatsu, M. Sunamori, M. Kasai, ...
Normal human thymuses at various ages were immunohistologically examined in order to determine whether adult or aged thymus maintained the microenvironment for the T cell development and thymopoiesis...
On Lepowsky-Wilson's Z-algebra (2000)
Hara, Y., Jimbo, M., Konno, H., Odake, S., Shiraishi, J.
We show that the deformed Virasoro algebra specializes in a certain limit to Lepowsky-Wilson's Z-algebra. This leads to a free field realization of the affine Lie algebra \hat{sl_2} which respects...
Free Field Construction for the ABF Models in Regime II (2000)
Jimbo, M., Konno, H., Odake, S., Pugai, Y., Shiraishi, J.
The Wakimoto construction for the quantum affine algebra U_q(\hat{sl}_2) admits a reduction to the q-deformed parafermion algebras. We interpret the latter theory as a free field realization of the...
Free Field Approach to the Dilute A_L Models (1999)
Hara, Y., Jimbo, M., Konno, H., Odake, S., Shiraishi, J.
We construct a free field realization of vertex operators of the dilute A_L models along with the Felder complex. For L=3, we also study an E_8 structure in terms of the deformed Virasoro currents.
Stability of the vortex lattice in D-wave superconductors (1998)
Shiraishi, J., Kohmoto, M., Maki, K.
Use is made of Onsager's hydrodynamic equation to derive the vibration spectrum of the vortex lattice in d-wave superconductor. In particular the rhombic lattice (i.e. the $45^\circ$ tilted square...
Elliptic algebra U_{q,p}(^sl_2): Drinfeld currents and vertex operators (1998)
Jimbo, M., Konno, H., Odake, S., Shiraishi, J.
We investigate the structure of the elliptic algebra U_{q,p}(^sl_2) introduced earlier by one of the authors. Our construction is based on a new set of generating series in the quantum affine algebra...
Quasi-Hopf twistors for elliptic quantum groups (1997)
Jimbo, M., Konno, H., Odake, S., Shiraishi, J.
The Yang-Baxter equation admits two classes of elliptic solutions, the vertex type and the face type. On the basis of these solutions, two types of elliptic quantum groups have been introduced (Foda...
Charge and current oscillations in Fractional quantum Hall systems with edges (1997)
Shiraishi, J., Avishai, Y., Kohmoto, M.
Stationary solutions of the Chern-Simons effective field theory for the fractional quantum Hall systems with edges are presented for Hall bar, disk and annulus. In the infinitely long Hall bar...
Molecular conductors with two-chain orbitals (1997)
Tajima, H., Shiraishi, J., Kohmoto, M.
We investigate a theoretical model applicable to molecular conductors, such as TTP and $M(dmit)_2$ salts [M=Ni, Pd, Pt], whose charge carriers orig inate from two kinds of molecular orbitals. The...
Simple Exactly Solvable Models of non-Fermi Liquids (1997)
Lidsky, D., Shiraishi, J., Hatsugai, Y., Kohmoto, M.
We generalize the model of Hatsugai and Kohmoto [J. Phys. Soc. Jpn, 61, 2056 (1992)] and find ground states which do not show the properties of Fermi liquids. We work in two space dimensions, but it...
Awata, H., Odake, S., Shiraishi, J.
We present a q-difference realization of the quantum superalgebra U_q(sl(M|N)), which includes Grassmann even and odd coordinates and their derivatives. Based on this result we obtain a free boson...
Virasoro-type Symmetries in Solvable Models (1996)
Awata, H., Kubo, H., Odake, S., Shiraishi, J.
Virasoro-type symmetries and their roles in solvable models are reviewed. These symmetries are described by the two-parameter Virasoro-type algebra $Vir_{p,q}$ by choosing the parameters p and q...
Thermal activation of exclusonic quasiparticles in the fractional quantum Hall effect (1996)
Shiraishi, J., Kohmoto, M., Wu, Y. S.
Quasiparticles of the fractional quantum Hall systems obey fractional (including mutual) exclusion statistics. In this note we study the effects of exclusion statistics on thermal activation of...
Quantum Deformation of the W_N Algebra (1996)
Awata, H., Kubo, H., Odake, S., Shiraishi, J.
We review the W_N algebra and its quantum deformation, based on free field realizations. The (quantum deformed) W_N algebra is defined through the (quantum deformed) Miura transformation, and its...
Kimura, K., Shiraishi, J., Uchiyama, J.
A level-one representation of the quantum affine superalgebra $\U_q(\hat{\frak{sl}}(M+1|N+1))$ and vertex operators associated with the fundamental representations are constructed in terms of free...
Awata, H., Kubo, H., Morita, Y., Odake, S., Shiraishi, J.
Primary fields of the $q$-deformed Virasoro algebra are constructed. Commutation relations among the primary fields are studied. Adjoint actions of the deformed Virasoro current on the primary fields...
Shiraishi, J., Morita, Y., Kohmoto, M.
A variant of the one-dimensional $t$-$J$ model with anisotropic spin interaction and broken parity is studied by the nested algebraic Bethe-ansatz method. The gapless charge excitations and the...
Quantum $W_N$ Algebras and Macdonald Polynomials (1995)
Awata, H., Kubo, H., Odake, S., Shiraishi, J.
We derive a quantum deformation of the $W_N$ algebra and its quantum Miura transformation, whose singular vectors realize the Macdonald polynomials.
Excited States of Calogero-Sutherland Model and Singular Vectors of the $W_N$ Algebra (1995)
Awata, H., Matsuo, Y., Odake, S., Shiraishi, J.
Using the collective field method, we find a relation between the Jack symmetric polynomials, which describe the excited states of the Calogero-Sutherland model, and the singular vectors of the $W_N$...
A Note on Calogero-Sutherland Model, W_n Singular Vectors and Generalized Matrix Models (1995)
Awata, H., Matsuo, Y., Odake, S., Shiraishi, J.
We review some recent results on the Calogero-Sutherland model with emphasis upon its algebraic aspects. We give integral formulae for excited states (Jack polynomials) of this model and their...
Collective fields, Calogero-Sutherland model and generalized matrix models (1994)
Awata, H., Matsuo, Y., Odake, S., Shiraishi, J.
On the basis of the collective field method, we analyze the Calogero--Sutherland model (CSM) and the Selberg--Aomoto integral, which defines, in particular case, the partition function of the matrix...
Free Boson Realization of $U_q(\widehat{sl_N})$ (1993)
Awata, H., Odake, S., Shiraishi, J.
We construct a realization of the quantum affine algebra $U_q(\widehat{sl_N})$ of an arbitrary level $k$ in terms of free boson fields. In the $q\!\rightarrow\! 1$ limit this realization becomes the...
Free Boson Representation of $U_q(\widehat{sl}_3)$ (1993)
Awata, H., Odake, S., Shiraishi, J.
A representation of the quantum affine algebra $U_{q}(\widehat{sl}_3)$ of an arbitrary level $k$ is constructed in the Fock module of eight boson fields. This realization reduces the Wakimoto...
Free Boson Representation of $U_{q}(\hat{sl_{2}})$ (1992)
A representation of the quantum affine algebra $U_{q}(\hat{sl_{2}})$ of an arbitrary level $k$ is realized in terms of three boson fields, whose $q \rightarrow 1$ limit becomes the Wakimoto...
Essential Microenvironment for Thymopoiesis is Preserved in Human Adult and Aged Thymus
Shiraishi, J., Utsuyama, M., Seki, S., Akamatsu, H., Sunamori, M., Kasai, M., ...
Normal human thymuses at various ages were immunohistologically examined in order to determine whether adult or aged thymus maintained the microenvironment for the T cell development and thymopoiesis...