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New Techniques for Holography from Supergravity

超重力全息新技术

基本信息

批准号：
2014163
负责人：
Oscar Varela
金额：
$ 21万
依托单位：
Utah State University
依托单位国家：
美国
项目类别：
Standard Grant
财政年份：
2020
资助国家：
美国
起止时间：
2020-09-01 至 2023-08-31
项目状态：
已结题

来源：
https://www.nsf.gov/awardsearch/showAward?AWD_ID=2014163&HistoricalAwards=false
关键词：
New Techniques Holography Supergravity

项目摘要

This award funds the research activities of Professor Oscar Varela at Utah State University.General relativity (the theoretical language for understanding gravity) and quantum field theory (the theoretical language for understanding the elementary particles of nature) have traditionally been thought to be irreconcilable theories. The former governs the large-scale structure of the universe, while the latter describes the fundamental interactions —-- electromagnetic, weak, and strong —-- that operate at a subatomic level. More importantly, only the latter is consistent with the probabilistic expectations of quantum mechanics. However, is it possible that these two seemingly different theories are actually two different sides of the same coin? Could they be regarded as dual manifestations of an overarching set of physical principles? If this were the case, general relativity and quantum field theory would complement rather than conflict with each other, as they would be equivalent, differing only in their regimes of applicability. In his research, Professor Varela will further develop this idea within the framework of an equivalence called "the AdS/CFT correspondence". As such, this research advances the national interest by promoting the development of science in a fundamental direction, by developing relations among the laws of physics at deeper and deeper levels. This research will also have broader impacts by providing training for junior physicists. The results of this research will also be disseminated to the general public, with an emphasis on reaching members of under-represented groups.More technically, aspects of the AdS/CFT correspondence will be studied, with a focus in the supergravity regime where tighter control of the correspondence is attained. New tools will be introduced and developed to construct solutions to the supergravity equations that contain anti-de Sitter space. These methods will exploit the reformulations of higher-dimensional supergravities that make exceptional symmetries manifest, and will provide new efficient tools to compute observables in the dual field theories.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.

该奖项资助了犹他州州立大学的奥斯卡·瓦雷拉教授的研究活动。广义相对论（理解引力的理论语言）和量子场论（理解自然界基本粒子的理论语言）传统上被认为是不可调和的理论。前者支配着宇宙的大尺度结构，而后者描述了在亚原子水平上运行的基本相互作用--电磁、弱和强。更重要的是，只有后者才符合量子力学的概率预期。然而，这两个看似不同的理论是否可能实际上是同一枚硬币的两个不同面？它们能被看作是一套支配性的物理原理的双重表现吗？如果是这样的话，广义相对论和量子场论将相互补充而不是相互冲突，因为它们是等价的，只是在适用范围上有所不同。在他的研究中，瓦雷拉教授将在一个称为“AdS/CFT对应”的等效框架内进一步发展这一想法。因此，这项研究通过促进科学在根本方向上的发展，通过在越来越深的层次上发展物理定律之间的关系，促进了国家利益。这项研究还将通过为初级物理学家提供培训而产生更广泛的影响。这项研究的结果也将向公众传播，重点是接触代表性不足的群体成员，将从技术上研究AdS/CFT对应关系的各个方面，重点是对对应关系进行更严格控制的超重力状态。将引入和开发新的工具，以构建包含反德西特空间的超重力方程的解。这些方法将利用更高维的超引力，使特殊的对称性表现的重新制定，并将提供新的有效的工具来计算在双场theors.This奖项反映了NSF的法定使命，并已被认为是值得通过使用基金会的智力价值和更广泛的影响审查标准进行评估的支持。