CORNER TRANSFER MATRICES AND QUANTUM AFFINE ALGEBRAS

Author:

FODA OMAR1,MIWA TETSUJI2

Affiliation:

1. Institute for Theoretical Physics, University of Nijmegen, 6525 ED NIJMEGEN, The Netherlands

2. Research Institute for Mathematical Sciences, Kyoto University, Kyoto 606, Japan

Abstract

Let ℋ be the corner-transfer-matrix Hamiltonian for the six-vertex model in the anti-ferroelectric regime. It acts on the infinite tensor product W=V⊗V⊗V⊗⋯, where V is the 2-dimensional irreducible representation of the quantum affine Lie algebra [Formula: see text]. We observe that ℋ is the derivation of [Formula: see text], and conjecture that the eigenvectors of ℋ form the level-1 vacuum representation of [Formula: see text]. We report on checks in support of our conjecture.

Publisher

World Scientific Pub Co Pte Lt

Subject

Astronomy and Astrophysics,Nuclear and High Energy Physics,Atomic and Molecular Physics, and Optics

Cited by 27 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Construction of an algebra corresponding to a statistical model of the square ladder (square lattice with two lines);Nuclear Physics B;2022-07

2. New $D_{n+1}^{(2)}$ K-matrices with quantum group symmetry;Journal of Physics A: Mathematical and Theoretical;2018-08-30

3. Integrable Floquet dynamics;SciPost Physics;2017-06-16

4. Non-Abelian symmetries of the half-infinite XXZ spin chain;Nuclear Physics B;2017-03

5. Form factors of the half-infinite XXZ spin chain with a triangular boundary;Journal of Statistical Mechanics: Theory and Experiment;2014-09-08

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3