Higher Spin Theories, Kaluza-Klein Superspace and Higher Derivatives

高自旋理论、Kaluza-Klein 超空间和高阶导数

• 批准号: 2112859
• 负责人: Katrin Becker
• 金额: $ 61.5万
• 依托单位: Texas A&M University
• 依托单位国家: 美国
• 项目类别: Continuing Grant
• 财政年份: 2021
• 资助国家: 美国
• 起止时间: 2021-08-15 至 2025-07-31
• 项目状态: 未结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2112859&HistoricalAwards=false
• 关键词: Higher; Spin; Theories; Kaluza; Klein

This award funds the research activities of Professors Katrin Becker and Ergin Sezgin at Texas A&M University.To describe nature at the fundamental level, physicists use two different theories with very different set of rules: quantum theory and general relativity. Quantum theory is used to describe nature at very small distances (the world of atoms and elementary particles). By contrast, general relativity is used to describe nature at very large distances (the realm of planets, stars and galaxies). The task of finding a consistent and unified set of rules that are valid at all distances, and at the same time describing all fundamental interactions, has long been a great challenge in physics. The most promising candidate to achieve this goal is called "string theory" since it is based on the premise that all elementary particles correspond to different vibrational modes of an incredibly small fundamental string. In describing phenomena at low energies, string theory produces a version of Einstein's theory of gravity known as "supergravity". However, as we probe shorter distances (or equivalently higher energies), string theory predicts deviations from supergravity. One of the important challenges in string theory is to compute and understand these deviations. As part of their research, Professors Becker and Sezgin will pursue a number of research directions that deal with this problem, many of which have profound consequences for the description of the early universe. This project is also envisioned to have broader impact by strengthening the numerous interfaces between string theory and mathematics, and advances the national interest by promoting progress in science and seeking new physical laws that describe the uncharted workings of our universe. The PIs will also provide critical training to postdocs and students, and plan to give public lectures on their research results.More technically, Professors Becker and Sezgin aim to construct the full space-time effective action of different superstring- and M-theory compactifications in a form displaying manifest off-shell supersymmetry with the goal of finding all orders in the slope parameter. For higher-dimensional supergravity theories there is no (finite) off-shell formulation. As a result, writing higher derivative supersymmetric actions turns out to be very difficult. Professors Becker and Sezgin plan to reformulate higher-dimensional supergravity theories, in particular 11D supergravity, in 4D, N = 1 superspace which is one of the simplest superspaces allowing (finite) off-shell formulations. Choosing manifest supersymmetry in four space-time dimensions is, of course, motivated by phenomenology, and Professors Becker and Sezgin envision a host of phenomenological applications of their work. They will also explore matter couplings, hidden symmetries, anomalies, and exact solutions of higher spin theories. They will also construct the higher derivative couplings of matter-coupled supergravity, investigate its vacua, and study its duality symmetries and its embedding into string theory.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.

该奖项资助了德克萨斯农工大学的Katrin Becker和Ergin Sezgin教授的研究活动。为了在基本层面上描述自然，物理学家使用了两种不同的理论，它们有着截然不同的规则：量子论和广义相对论。量子理论被用来描述非常小距离的自然（原子和基本粒子的世界）。相比之下，广义相对论被用来描述非常遥远的自然（行星、恒星和星系的领域）。长期以来，寻找一套在所有距离上都有效，同时又能描述所有基本相互作用的一致而统一的规则，一直是物理学中的一大挑战。最有希望实现这一目标的候选理论被称为“弦理论”，因为它是基于一个前提，即所有基本粒子都对应于一条非常小的基本弦的不同振动模式。在描述低能量的现象时，弦理论产生了爱因斯坦引力理论的一个版本，被称为“超引力”。然而，当我们探测更短的距离（或更高的能量）时，弦理论预测了超引力的偏差。弦理论的一个重要挑战是计算和理解这些偏差。作为他们研究的一部分，贝克尔教授和塞兹金教授将探索处理这个问题的许多研究方向，其中许多对早期宇宙的描述具有深远的影响。该项目还设想通过加强弦理论与数学之间的众多接口来产生更广泛的影响，并通过促进科学进步和寻求描述我们宇宙未知运作的新物理定律来推进国家利益。他们还将为博士后和学生提供重要的培训，并计划就他们的研究成果进行公开讲座。从技术上讲，Becker教授和Sezgin教授的目标是构建不同超弦和m理论紧化的全时空有效作用，以显示明显的脱壳超对称的形式，目标是找到斜率参数的所有阶数。对于高维的超引力理论，没有（有限的）离壳公式。因此，写出高阶导数超对称作用是非常困难的。Becker教授和Sezgin教授计划在4D， N = 1超空间中重新表述高维超重力理论，特别是11D超重力，这是允许（有限）脱壳公式的最简单的超空间之一。当然，选择四维时空的明显超对称是受现象学的启发，贝克尔和塞兹金教授设想了他们的工作在现象学上的大量应用。他们还将探索物质耦合、隐藏的对称性、异常和高自旋理论的精确解。他们还将构建物质耦合超引力的高导数耦合，研究它的真空，研究它的对偶对称性及其在弦理论中的嵌入。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

项目成果

Higher derivative couplings of hypermultiplets

超多重态的高阶导数耦合

• DOI: 10.1007/jhep06(2023)172
• 发表时间: 2023
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: Chang, Hao-Yuan;Sezgin, Ergin;Tanii, Yoshiaki
• 通讯作者: Tanii, Yoshiaki

Extended geometry of magical supergravities

神奇超重力的扩展几何

• DOI: 10.1007/jhep05(2023)162
• 发表时间: 2023
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: Bossard, Guillaume;Cederwall, Martin;Kleinschmidt, Axel;Palmkvist, Jakob;Sezgin, Ergin;Sundberg, Linus
• 通讯作者: Sundberg, Linus

Fluxes, vacua, and tadpoles meet Landau-Ginzburg and Fermat

通量、真空和蝌蚪遇见兰道-金茨堡和费马

• DOI: 10.1007/jhep12(2022)083
• 发表时间: 2022
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: Becker, Katrin;Gonzalo, Eduardo;Walcher, Johannes;Wrase, Timm
• 通讯作者: Wrase, Timm

Dimensional reduction of higher derivative heterotic supergravity

高阶导数杂种超引力的降维

• DOI: 10.1007/jhep03(2022)081
• 发表时间: 2022
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: Chang, Hao-Yuan;Sezgin, Ergin;Tanii, Yoshiaki
• 通讯作者: Tanii, Yoshiaki

Components of eleven-dimensional supergravity with four off-shell supersymmetries

具有四个离壳超对称性的十一维超引力的组成部分

• DOI: 10.1007/jhep07(2021)032
• 发表时间: 2021
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: Becker, Katrin;Butter, Daniel;Linch, William D.;Sengupta, Anindya
• 通讯作者: Sengupta, Anindya