{"title":"Towards massive field-theory amplitudes from the cohomology of pure spinor superspace","authors":"Carlos R. Mafra","doi":"10.1007/JHEP11(2024)045","DOIUrl":null,"url":null,"abstract":"<p>By analogy with the formula for the massless string disk amplitudes, we define massive field-theory tree amplitudes and conjecture that the BRST cohomology structure of pure spinor superspace fixes their form. We give evidence by deriving the pure spinor superspace expression of the massive field-theory <i>n</i>-point tree amplitude with one first-level massive and <i>n</i> − 1 massless states in two ways: 1) from BRST cohomology arguments in pure spinor superspace and 2) from the <i>α</i>′<sup>2</sup> correction to the massless string amplitudes by inverting the unitarity constraint in superspace.</p>","PeriodicalId":635,"journal":{"name":"Journal of High Energy Physics","volume":"2024 11","pages":""},"PeriodicalIF":5.4000,"publicationDate":"2024-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/JHEP11(2024)045.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of High Energy Physics","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/JHEP11(2024)045","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
Abstract
By analogy with the formula for the massless string disk amplitudes, we define massive field-theory tree amplitudes and conjecture that the BRST cohomology structure of pure spinor superspace fixes their form. We give evidence by deriving the pure spinor superspace expression of the massive field-theory n-point tree amplitude with one first-level massive and n − 1 massless states in two ways: 1) from BRST cohomology arguments in pure spinor superspace and 2) from the α′2 correction to the massless string amplitudes by inverting the unitarity constraint in superspace.
通过类比无质量弦盘振幅公式，我们定义了大质量场论树振幅，并猜想纯旋子超空间的BRST同调结构固定了它们的形式。我们通过两种方法推导出具有一个一级大质量态和 n - 1 个无质量态的大质量场论 n 点树振幅的纯自旋体超空间表达式，从而给出证据：1）来自纯自旋子超空间的BRST同调论证；2）来自通过反转超空间的单位性约束对无质量弦振幅的α′2修正。
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).
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