New Techniques for Holography from Supergravity

超重力全息新技术

• 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; New; Techniques; Holography; Supergravity

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.

该奖项为犹他州大学奥斯卡·瓦雷拉（Oscar Varela）教授的研究活动提供资金。一般相对论（理解重力的理论语言）和量子场理论（理解自然基本粒子的理论语言）传统上一直认为是不可调节的理论。前者控制着宇宙的大规模结构，而后者则描述了在亚原子水平上运行的基本相互作用 - 电磁，弱且强。更重要的是，只有后者与量子机械的概率期望一致。但是，这两个看似不同的理论实际上是同一硬币的两个不同方面吗？它们可以被视为一组物理原理的双重表现吗？如果是这种情况，那么一般的可靠性和量子场理论将相互补充而不是相互冲突，因为它们是等效的，仅在其适用性方面有所不同。在他的研究中，Varela教授将在称为“ ADS/CFT信函”的等价框架内进一步发展这一想法。因此，这项研究通过在基本方向发展科学的发展，通过在越来越深的物理定律之间发展关系来推动国家利益。通过为初级物理学家提供培训，这项研究还将产生更广泛的影响。这项研究的结果还将被传播给公众，重点是吸引代表性不足的群体的成员。从技术上讲，广告/CFT通信的各个方面将是研讨会，重点放在超级实力的方向上，在这些方面，对应关系的更严格的控制。将引入和开发新的工具，以构建包含反DE保姆空间的超级强度方程的解决方案。这些方法将利用使杰出对称性表现出来的较高维度超级强度的改革，并将提供新的有效工具来计算双面理论中的观察力。该奖项反映了NSF的法定任务，并通过使用该基金会的知识分子和更广泛的影响来评估NSF的法定任务，并被视为珍贵的支持。