Zobrazeno 1 - 10
of 3 417
pro vyhledávání: '"Konno H"'
Publikováno v:
J. Stat. Mech. (2012) P01007
We consider the XXZ quantum spin chain in its massless, disordered regime at zero field. We derive an exact expression for the two-spinon form-factor of $S^z=1/2\sigma^z$ by taking a limit of the massive XYZ form-factors found by Lashkevich and by Lu
Externí odkaz:
http://arxiv.org/abs/1110.6641
Publikováno v:
Phys. Rev. Lett. 106, 217203 (2011)
We consider the effects of interactions on the nature of spinon excitations in Heisenberg spin-1/2 chains. We explicitly compute the two-spinon part of the longitudinal structure factor of the infinite chain in zero field for all values of anisotropy
Externí odkaz:
http://arxiv.org/abs/1012.3554
Publikováno v:
Recent Developments in Infinite-Diminsional Lie Algebras and Conformal Field Theory, Proceedings of the Conference on Infinite-dimensional Lie Theory, Contemporary Mathematics 297, AMS, Providence, 2002.
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 the principal gradation. We discuss some features of
Externí odkaz:
http://arxiv.org/abs/math/0005203
Publikováno v:
J.Statist.Phys. 102 (2001) 883-921
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 Andrews-Baxter-Forrester models in regime II. We giv
Externí odkaz:
http://arxiv.org/abs/math/0001071
Publikováno v:
J.Math.Phys. 40 (1999) 3791-3826
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.
Comment: (AMS-)LaTeX(2e), 43pages
Comment: (AMS-)LaTeX(2e), 43pages
Externí odkaz:
http://arxiv.org/abs/math/9902150
Publikováno v:
Commun.Math.Phys. 199 (1999) 605-647
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 U_q(^sl_2), which are elliptic analogs of the Drin
Externí odkaz:
http://arxiv.org/abs/math/9802002
Publikováno v:
Transformation Groups 4 (1999) 303-327
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 et al., Felder). Fronsdal made a penetrating observ
Externí odkaz:
http://arxiv.org/abs/q-alg/9712029
Publikováno v:
J.Phys. A28 (1995) 5589-5606
The level-$1$ integrable highest weight modules of $U_q(\widehat{sl}_2)$ admit a level-$0$ action of the same algebra. This action is defined using the affine Hecke algebra and the basis of the level-$1$ module generated by components of vertex opera
Externí odkaz:
http://arxiv.org/abs/q-alg/9506016
A level-0 action of $U_q(\widehat{sl}_2)$ is defined on the sum of level-1 irreducible highest weight modules. With the aid of the affine Hecke algebras, this action is realized on the basis created by the vertex operators. This is a $q$-analogue of
Externí odkaz:
http://arxiv.org/abs/q-alg/9505009
Publikováno v:
Nucl.Phys. B441 (1995) 437-470
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 zero particle content. There are three distin
Externí odkaz:
http://arxiv.org/abs/hep-th/9411112