Diagonalization of Boundary Transfer Matrix for the Uq,p((sl)over-cap(3,C)) ABF Model

被引：2

作者：

Kojima, Takeo ^{[1
]}

机构：

[1] Nihon Univ, Coll Sci & Technol, Dept Math, Chiyoda Ku, Tokyo 1010062, Japan

来源：

LIE THEORY AND ITS APPLICATIONS IN PHYSICS | 2010年 / 1243卷

关键词：

elliptic quantum group; free field realization; Wakimoto realization; VERTEX OPERATORS; XXZ CHAIN; FACE; PROBABILITIES;

D O I：

10.1063/1.3460171

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

We construct a free field realization of the ground state of the boundary transfer matrix for the U-q,U-p((sl) over cap (3,C)) ABF model. Using this ground state and type-II vertex operator, we have a diagonalization of the boundary transfer matrix.

引用

页码：241 / 253

页数：13

共 50 条

[11] An integrable vertex model and the quantum affine algebra Uq((sl)over-cap(2)) at the critical level
Gade, RM
NUCLEAR PHYSICS B, 2002, 638 (03) : 291 - 327
[12] BRST COHOMOLOGY IN QUANTUM AFFINE ALGEBRA UQ((SL2)OVER-CAP)
KONNO, H
MODERN PHYSICS LETTERS A, 1994, 9 (14) : 1253 - 1265
[13] Bosonization and Vertex Operator of Supersymmetry Uq((sl)over-cap(N|1)) for Level k
Kojima, Takeo
IC-MSQUARE 2012: INTERNATIONAL CONFERENCE ON MATHEMATICAL MODELLING IN PHYSICAL SCIENCES, 2013, 410
[14] Free field realization of quantum affine superalgebra Uq((sl)over-cap(N|1))
Kojima, Takeo
JOURNAL OF MATHEMATICAL PHYSICS, 2012, 53 (01)
[15] Quantized W-algebra of sl(2,1) and quantum parafermions of Uq((sl)over-cap(2))
Ding, JT
Feigin, B
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2000, 7 (02) : 170 - 183
[16] (sl)over-cap(2)-1/2 and the triplet model
Ridout, David
NUCLEAR PHYSICS B, 2010, 835 (03) : 314 - 342
[17] A family of tridiagonal pairs related to the quantum affine algebra Uq((sl2)over-cap)
Alnajjar, H
Curtin, B
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2005, 13 : 1 - 9
[18] Relaxed and logarithmic modules of (sl3)over-cap
Adamovic, Drazen
Creutzig, Thomas
Genra, Naoki
MATHEMATISCHE ANNALEN, 2024, 389 (01) : 281 - 324
[19] Free field realization of vertex operators for level two modules of Uq((sl)over-cap(2))
Hara, Y
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1998, 31 (42): : 8483 - 8494
[20] New Wq,p(sl(2)) algebras from the elliptic algebra Aq,p((sl)over-cap(2)c)
Avan, J
Frappat, L
Rossi, M
Sorba, P
PHYSICS LETTERS A, 1998, 239 (1-2) : 27 - 35

← 1 2 3 4 5 →