{"title":"最大超对称张量理论的轴向反常现象","authors":"Piljin Yi, Yi Zhang","doi":"10.1007/jhep07(2024)007","DOIUrl":null,"url":null,"abstract":"<p>We revisit anomalies of (4, 0) and (3, 1) maximally supersymmetric tensor theories in <i>d</i> = 6. A (4, 0) on-shell tensor multiplet descends to that of the <i>d</i> = 5 maximal supergravity upon a dimensional reduction, hypothesized to offer a strong-coupled UV completion of the latter in the same sense of (2, 0) theories as the UV completion of <i>d</i> = 5 <span>\\( \\mathcal{N} \\)</span> = 2 pure Yang-Mills. The gravitational anomalies, found to be nonvanishing, had been computed, although its relevance in the absence of the <i>d</i> = 6 metric is not obvious. We perform a comprehensive anomaly computation for (4, 0) and (3, 1) tensor supermultiplets, respectively, for Sp(4) and Sp(3) × Sp(1) <i>R</i>-symmetry anomalies and the mixed <i>R</i>-gravitational anomaly thereof, and find that anomalies involving <i>R</i>-symmetries cancel out identically. We close with questions on how to address the anomaly in this class of theories with no general covariance.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":null,"pages":null},"PeriodicalIF":5.4000,"publicationDate":"2024-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Axial anomalies of maximally supersymmetric tensor theories\",\"authors\":\"Piljin Yi, Yi Zhang\",\"doi\":\"10.1007/jhep07(2024)007\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We revisit anomalies of (4, 0) and (3, 1) maximally supersymmetric tensor theories in <i>d</i> = 6. A (4, 0) on-shell tensor multiplet descends to that of the <i>d</i> = 5 maximal supergravity upon a dimensional reduction, hypothesized to offer a strong-coupled UV completion of the latter in the same sense of (2, 0) theories as the UV completion of <i>d</i> = 5 <span>\\\\( \\\\mathcal{N} \\\\)</span> = 2 pure Yang-Mills. The gravitational anomalies, found to be nonvanishing, had been computed, although its relevance in the absence of the <i>d</i> = 6 metric is not obvious. We perform a comprehensive anomaly computation for (4, 0) and (3, 1) tensor supermultiplets, respectively, for Sp(4) and Sp(3) × Sp(1) <i>R</i>-symmetry anomalies and the mixed <i>R</i>-gravitational anomaly thereof, and find that anomalies involving <i>R</i>-symmetries cancel out identically. We close with questions on how to address the anomaly in this class of theories with no general covariance.</p>\",\"PeriodicalId\":635,\"journal\":{\"name\":\"Journal of High Energy Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":5.4000,\"publicationDate\":\"2024-07-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of High Energy Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1007/jhep07(2024)007\",\"RegionNum\":1,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Physics and Astronomy\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of High Energy Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1007/jhep07(2024)007","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Physics and Astronomy","Score":null,"Total":0}
引用次数: 0
摘要
我们重新审视了 d = 6 中(4,0)和(3,1)最大超对称张量理论的反常现象。一个(4,0)壳上张量多重子在降维后下降到d = 5最大超引力的张量多重子,被假设为后者提供了一个与(2,0)理论相同意义上的强耦合UV补全,就像d = 5 \( \mathcal{N} \) = 2纯Yang-Mills的UV补全一样。我们计算了引力反常,发现它是非消失的,尽管在没有d = 6度量的情况下它的相关性并不明显。我们对(4,0)和(3,1)张量超多重子的 Sp(4)和 Sp(3)×Sp(1)R 对称反常及其混合 R 引力反常进行了全面的反常计算,发现涉及 R 对称的反常完全抵消。最后,我们提出了如何在这一类没有一般协方差的理论中解决反常现象的问题。
Axial anomalies of maximally supersymmetric tensor theories
We revisit anomalies of (4, 0) and (3, 1) maximally supersymmetric tensor theories in d = 6. A (4, 0) on-shell tensor multiplet descends to that of the d = 5 maximal supergravity upon a dimensional reduction, hypothesized to offer a strong-coupled UV completion of the latter in the same sense of (2, 0) theories as the UV completion of d = 5 \( \mathcal{N} \) = 2 pure Yang-Mills. The gravitational anomalies, found to be nonvanishing, had been computed, although its relevance in the absence of the d = 6 metric is not obvious. We perform a comprehensive anomaly computation for (4, 0) and (3, 1) tensor supermultiplets, respectively, for Sp(4) and Sp(3) × Sp(1) R-symmetry anomalies and the mixed R-gravitational anomaly thereof, and find that anomalies involving R-symmetries cancel out identically. We close with questions on how to address the anomaly in this class of theories with no general covariance.
期刊介绍:
The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal.
Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles.
JHEP presently encompasses the following areas of theoretical and experimental physics:
Collider Physics
Underground and Large Array Physics
Quantum Field Theory
Gauge Field Theories
Symmetries
String and Brane Theory
General Relativity and Gravitation
Supersymmetry
Mathematical Methods of Physics
Mostly Solvable Models
Astroparticles
Statistical Field Theories
Mostly Weak Interactions
Mostly Strong Interactions
Quantum Field Theory (phenomenology)
Strings and Branes
Phenomenological Aspects of Supersymmetry
Mostly Strong Interactions (phenomenology).