Algebraic Bethe ansatz for the elliptic quantum group E tau,eta(sl(2))

被引：82

作者：

Felder, G ^{[1
]}

Varchenko, A ^{[1
]}

机构：

[1] UNIV N CAROLINA,DEPT MATH,CHAPEL HILL,NC 27599

来源：

NUCLEAR PHYSICS B | 1996年 / 480卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

integrable models; eight-vertex model; elliptic quantum groups; spin chains; Rui[!text type='js']js[!/text]enaars models; Bethe ansatz;

D O I：

10.1016/S0550-3213(96)00461-0

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

To each representation of the elliptic quantum group E(tau,eta)(sl(2)) is associated a family of commuting transfer matrices. We give common eigenvectors by a version of the algebraic Bethe ansatz method, Special cases of this construction give eigenvectors for IRF models, for the eight-vertex model and for the two-body Ruijsenaars operator. The latter is a q-deformation of Hermite's solution of the Lame equation.

引用

页码：485 / 503

页数：19

共 50 条

[1] Representation of the boundary elliptic quantum group BE tau,eta (sl(2)) and the Bethe ansatz
Fan, H
Hou, BY
Shi, KJ
NUCLEAR PHYSICS B, 1997, 496 (03) : 551 - 570
[2] Algebraic Bethe ansatz for the elliptic quantum group Eτ,η(A2(2))
Manojlovic, Nenad
Nagy, Zoltan
JOURNAL OF MATHEMATICAL PHYSICS, 2007, 48 (12)
[3] On representations of the elliptic quantum group E(tau,eta)(sl(2))
Felder, G
Varchenko, A
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1996, 181 (03) : 741 - 761
[4] Algebraic Bethe ansatz for the elliptic quantum group Eτ,η(sln) and its applications
Hou, BY
Sasaki, R
Yang, WL
NUCLEAR PHYSICS B, 2003, 663 (03) : 467 - 486
[5] Creation operators and algebraic Bethe ansatz for the elliptic quantum group Eτ,η(so3)
Manojlovic, Nenand
Nagy, Zoltan
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2007, 40 (15) : 4181 - 4191
[6] Algebraic Bethe ansatz for the Sl(2) Gaudin model with boundary
Cirilo Antonio, N.
Manojlovic, N.
Ragoucy, E.
Salom, I.
NUCLEAR PHYSICS B, 2015, 893 : 305 - 331
[7] Algebraic Bethe Ansatz for the Trigonometric sl(2) Gaudin Model with Triangular Boundary
Manojlovic, Nenad
Salom, Igor
SYMMETRY-BASEL, 2020, 12 (03):
[8] The algebraic Bethe ansatz and quantum integrable systems
Slavnov, N. A.
RUSSIAN MATHEMATICAL SURVEYS, 2007, 62 (04) : 727 - 766
[9] Spiky strings in the SL(2) Bethe Ansatz
Freyhult, L.
Kruczenski, M.
Tirziu, A.
6TH INTERNATIONAL SYMPOSIUM ON QUANTUM THEORY AND SYMMETRIES (QTS6), 2013, 462
[10] Dressing phase in the SL(2) Bethe ansatz
Kruczenski, M.
Tirziu, A.
PHYSICAL REVIEW D, 2009, 80 (08):

← 1 2 3 4 5 →