U_q(E_6^{(2)}) 和 U_q(F_4^{(1)})的第 1 层最高权重和 Fock 空间晶体的杨墙模型

IF 1.3 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL Letters in Mathematical Physics Pub Date : 2024-09-30 DOI:10.1007/s11005-024-01845-5

Shaolong Han, Yuanfeng Jin, Seok-Jin Kang, Duncan Laurie

{"title":"U_q(E_6^{(2)}) 和 U_q(F_4^{(1)})的第 1 层最高权重和 Fock 空间晶体的杨墙模型","authors":"Shaolong Han, Yuanfeng Jin, Seok-Jin Kang, Duncan Laurie","doi":"10.1007/s11005-024-01845-5","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper, we construct Young wall models for the level 1 highest weight and Fock space crystals of quantum affine algebras in types <span>\\(E_6^{(2)}\\)</span> and <span>\\(F_4^{(1)}\\)</span>. Our starting point in each case is a combinatorial realization for a certain level 1 perfect crystal in terms of Young columns. Then, using energy functions and affine energy functions we define the notions of reduced and proper Young walls, which model the highest weight and Fock space crystals, respectively.</p></div>","PeriodicalId":685,"journal":{"name":"Letters in Mathematical Physics","volume":"114 5","pages":""},"PeriodicalIF":1.3000,"publicationDate":"2024-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Young wall models for the level 1 highest weight and Fock space crystals of \\\\(U_q(E_6^{(2)})\\\\) and \\\\(U_q(F_4^{(1)})\\\\)\",\"authors\":\"Shaolong Han, Yuanfeng Jin, Seok-Jin Kang, Duncan Laurie\",\"doi\":\"10.1007/s11005-024-01845-5\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper, we construct Young wall models for the level 1 highest weight and Fock space crystals of quantum affine algebras in types <span>\\\\(E_6^{(2)}\\\\)</span> and <span>\\\\(F_4^{(1)}\\\\)</span>. Our starting point in each case is a combinatorial realization for a certain level 1 perfect crystal in terms of Young columns. Then, using energy functions and affine energy functions we define the notions of reduced and proper Young walls, which model the highest weight and Fock space crystals, respectively.</p></div>\",\"PeriodicalId\":685,\"journal\":{\"name\":\"Letters in Mathematical Physics\",\"volume\":\"114 5\",\"pages\":\"\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-09-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Letters in Mathematical Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s11005-024-01845-5\",\"RegionNum\":3,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, MATHEMATICAL\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Letters in Mathematical Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s11005-024-01845-5","RegionNum":3,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, MATHEMATICAL","Score":null,"Total":0}

引用次数: 0

摘要

在本文中，我们为 \(E_6^{(2)}\) 型和\(F_4^{(1)}\) 型量子仿射代数的第 1 层最高权重和 Fock 空间晶体构建了杨墙模型。在每种情况下，我们的出发点都是以杨列为单位对某一级完美晶体的组合实现。然后，我们利用能量函数和仿射能量函数定义了还原杨墙和适当杨墙的概念，它们分别是最高权重晶体和福克空间晶体的模型。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

摘要图片

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Young wall models for the level 1 highest weight and Fock space crystals of \(U_q(E_6^{(2)})\) and \(U_q(F_4^{(1)})\)

In this paper, we construct Young wall models for the level 1 highest weight and Fock space crystals of quantum affine algebras in types \(E_6^{(2)}\) and \(F_4^{(1)}\). Our starting point in each case is a combinatorial realization for a certain level 1 perfect crystal in terms of Young columns. Then, using energy functions and affine energy functions we define the notions of reduced and proper Young walls, which model the highest weight and Fock space crystals, respectively.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Letters in Mathematical Physics 物理-物理：数学物理

CiteScore

2.40

自引率

8.30%

发文量

111

审稿时长

3 months

期刊介绍： The aim of Letters in Mathematical Physics is to attract the community''s attention on important and original developments in the area of mathematical physics and contemporary theoretical physics. The journal publishes letters and longer research articles, occasionally also articles containing topical reviews. We are committed to both fast publication and careful refereeing. In addition, the journal offers important contributions to modern mathematics in fields which have a potential physical application, and important developments in theoretical physics which have potential mathematical impact.