Strings, Branes, and Higher Spin Theories

弦、膜和高自旋理论

• 批准号: 1521099
• 负责人: Ergin Sezgin
• 金额: $ 75万
• 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: 2015
• 资助国家: 美国
• 起止时间: 2015-09-01 至 2019-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1521099&HistoricalAwards=false
• 关键词: Strings; Branes; Higher; Spin; Theories

This award funds the research activities of Professors Katrin Becker, Melanie Becker, and Ergin Sezgin at Texas A&M University.String theory requires gravity and extends the standard model of particle physics and grand unified theories. Its mathematical consistency requires more than the four spacetime dimensions, and the ways in which the extra dimensions are dealth with in turn determines the observed particles and forces. Therefore, it is important to understand the imprints left by the geometry and topology of the extra dimensions on the observed four-dimensional spacetime. The PI's will explore fundamental aspects of string theory and supergravity as they relate to these issues. As such, this project advances the national interest by promoting progress in science and the search for new physical laws describing uncharted territories of quantum gravity. This project is also envisioned to have broader impact by boosting the interfaces between string theory and mathematics. The PIs will also provide critical training to postdocs and students, and intend to give public lectures on their research results and organize workshops. More technically, the PIs aim to construct the full spacetime effective action of different string theory and M-theory compactifications to all orders in the slope parameter and its formulation in superspace. Their goal is to use physics to solve long-standing problems in mathematics (e.g,. the search of a "Calabi-Yau-type" theorem for manifolds with exceptional holonomy or to search for an analogue of mirror symmetry). Further, the PI's will study the construction of an action principle for higher-spin theory, its quantization, higher-spin invariant functionals, and higher-spin black holes. They will also study supersymmetric field theories in curved backgrounds, superconformal field theories in diverse dimensions, and a geometrical description of duality symmetries of strings and branes.

该奖项资助德克萨斯A M大学Katrin Becker、Melanie Becker和Ergin Sezgin教授的研究活动。弦理论需要引力，并扩展了粒子物理学和大统一理论的标准模型。其数学上的一致性需要的不仅仅是四维时空，而额外维度的处理方式反过来又决定了所观察到的粒子和力。因此，理解额外维度的几何和拓扑在观察到的四维时空上留下的印记是很重要的。 PI将探索弦理论和超引力的基本方面，因为它们与这些问题有关。 因此，该项目通过促进科学进步和寻找描述量子引力未知领域的新物理定律来促进国家利益。 这个项目也被设想通过促进弦理论和数学之间的接口来产生更广泛的影响。 PI还将为博士后和学生提供关键培训，并打算就其研究成果进行公开讲座并组织研讨会。从技术上讲，PI的目标是构建不同弦理论和M理论紧化的完整时空有效作用量，以斜率参数及其在超空间中的表述为所有阶。 他们的目标是使用物理来解决数学中长期存在的问题（例如，。搜索一个“卡拉比-丘-型”定理的流形例外holonomy或搜索一个类似的镜像对称）。 此外，PI将研究更高自旋理论的作用原理的构建，它的量子化，更高自旋不变泛函和更高自旋黑洞。 他们还将研究弯曲背景中的超对称场论，不同维度的超共形场论，以及弦和膜的对偶对称性的几何描述。