Noninvertible Symmetries, Anomalies, and Scattering Amplitudes

IF 8.1 1区物理与天体物理 Q1 PHYSICS, MULTIDISCIPLINARY Physical review letters Pub Date : 2024-10-30 DOI:10.1103/physrevlett.133.181601

Christian Copetti, Lucía Córdova, Shota Komatsu

{"title":"Noninvertible Symmetries, Anomalies, and Scattering Amplitudes","authors":"Christian Copetti, Lucía Córdova, Shota Komatsu","doi":"10.1103/physrevlett.133.181601","DOIUrl":null,"url":null,"abstract":"We show that crossing symmetry of <mjx-container ctxtmenu_counter=\"2\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"0\"><mjx-mrow><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-role=\"latinletter\" data-semantic-speech=\"upper S\" data-semantic-type=\"identifier\"><mjx-c>𝑆</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container> matrices is modified in certain theories with noninvertible symmetries or anomalies. Focusing on integrable flows to gapped phases in two dimensions, we find that <mjx-container ctxtmenu_counter=\"3\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" overflow=\"linebreak\" role=\"tree\" sre-explorer- style=\"font-size: 100.7%;\" tabindex=\"0\"><mjx-math data-semantic-structure=\"0\"><mjx-mrow><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-role=\"latinletter\" data-semantic-speech=\"upper S\" data-semantic-type=\"identifier\"><mjx-c>𝑆</mjx-c></mjx-mi></mjx-mrow></mjx-math></mjx-container> matrices derived previously from the bootstrap approach are incompatible with noninvertible symmetries along the flow. We present consistent alternatives, which, however, violate standard crossing symmetry and obey modified rules dictated by fusion categories. We extend these rules to theories with discrete anomalies.","PeriodicalId":20069,"journal":{"name":"Physical review letters","volume":"67 1","pages":""},"PeriodicalIF":8.1000,"publicationDate":"2024-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physical review letters","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1103/physrevlett.133.181601","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"PHYSICS, MULTIDISCIPLINARY","Score":null,"Total":0}

引用次数: 0

Abstract

We show that crossing symmetry of

𝑆

matrices is modified in certain theories with noninvertible symmetries or anomalies. Focusing on integrable flows to gapped phases in two dimensions, we find that

𝑆

matrices derived previously from the bootstrap approach are incompatible with noninvertible symmetries along the flow. We present consistent alternatives, which, however, violate standard crossing symmetry and obey modified rules dictated by fusion categories. We extend these rules to theories with discrete anomalies.

查看原文

微信好友朋友圈 QQ好友复制链接

本刊更多论文

不可逆对称、反常现象和散射振幅

我们证明了𝑆矩阵的交叉对称性在某些具有不可逆对称性或反常现象的理论中会被改变。我们把重点放在二维中通向间隙相的可积分流上，发现以前从自举法得到的𝑆矩阵与沿流的非可逆对称性不相容。我们提出了一致的替代方案，然而，这些方案违反了标准交叉对称性，并服从融合范畴规定的修正规则。我们将这些规则扩展到具有离散异常的理论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文去求助

来源期刊

Physical review letters 物理-物理：综合

CiteScore

16.50

自引率

7.00%

发文量

2673

审稿时长

2.2 months

期刊介绍： Physical review letters(PRL)covers the full range of applied, fundamental, and interdisciplinary physics research topics: General physics, including statistical and quantum mechanics and quantum information Gravitation, astrophysics, and cosmology Elementary particles and fields Nuclear physics Atomic, molecular, and optical physics Nonlinear dynamics, fluid dynamics, and classical optics Plasma and beam physics Condensed matter and materials physics Polymers, soft matter, biological, climate and interdisciplinary physics, including networks