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.

引用

页数：27

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