Quantum toroidal gl1 and Bethe ansatz

被引：50
|
作者：
Feigin, B. [1 ,2 ,3 ]
Jimbo, M. [4 ]
Miwa, T. [5 ]
Mukhin, E. [6 ]
机构：
[1] Natl Res Univ Higher Sch Econ, Moscow, Russia
[2] Int Lab Representat Theory & Math Phys, Moscow 101000, Russia
[3] Landau Inst Theoret Phys, Chernogolovka 142432, Russia
[4] Rikkyo Univ, Dept Math, Toshima Ku, Tokyo 1718501, Japan
[5] Kyoto Univ, Inst Liberal Arts & Sci, Kyoto 6068316, Japan
[6] Indiana Univ Purdue Univ, Dept Math, Indianapolis, IN 46202 USA
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2015年 / 48卷 / 24期
关键词：
quantum toroidal algebra; Bethe ansatz; shuffle algebra; ELLIPTIC HALL ALGEBRA; K-THEORY;
D O I：
10.1088/1751-8113/48/24/244001
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We establish the method of Bethe ansatz for the XXZ type model obtained from the R matrix associated to quantum toroidal gl(1). We do this by using shuffle realizations of the modules and by showing that the Hamiltonian of the model is obtained from a simple multiplication operator by taking an appropriate quotient. We expect this approach to be applicable to a wide variety of models.
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页数：27
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