Research in String Theory and Field Theory

弦论和场论研究

• 批准号: 2111673
• 负责人: Sumit Das
• 金额: $ 30万
• 依托单位: University of Kentucky Research Foundation
• 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: 2021-09-01 至 2024-08-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=2111673&HistoricalAwards=false
• 关键词: Research; String; Theory; Field

This award funds the research activities of Professor Sumit R. Das at the University of Kentucky.Quantum Mechanics describes all known phenomena in the microscopic world of atoms, nuclei, and elementary particles. General Relativity is the theory of gravity: it describes gravitational phenomena in the macroscopic world, all the way from terrestrial to astronomical scales. To obtain a coherent all-encompassing physical theory it is necessary to combine these two sets of laws in a logically consistent fashion. However, construction of such a consistent framework remains one of the most important unsolved foundational problems in contemporary physics. This project aims to address several issues which arise when one tries to combine Quantum Mechanics and General Relativity, using new insights which have been recently gained in both these areas. One key ingredient which will be used is "quantum entanglement" --- a property of quantum mechanics which explains why measurements made at places which are far from each other can be correlated in a precise fashion. Quantum entanglement is at the heart of a variety of physical phenomena observed in nature and is one of the basic principles used in the construction of quantum computers. Consequently, results of this research will serve the national interest by advancing fundamental science in the US. This is the main intellectual merit of this project. The PI will also involve graduate students and postdoctoral scholars in this research, thus providing them valuable training necessary to develop into independent scientists and educators. In addition, the results of this research will be used to enhance classroom education both at the graduate and undergraduate levels. The PI also plans to give public talks about this subject in various forums, and to deliver lectures at the “Osher Lifelong Learning Institute” which offers courses and enrichment programs to members of the community. The PI also plans to engage in “Science for Everyone, KY” which is an outreach program based in Lexington with an aim to increase scientific awareness in the community.More technically, Professor Das will study aspects of the Holographic Correspondence which relates gravitational theories to non-gravitational theories in a lower number of space-time dimensions. This implies that space itself is an emergent concept. Furthermore, it is becoming increasingly clear that quantum entanglement plays a key role in this emergence. The projects that will be pursued have three main goals. The first is to explore recently developed notions of entanglement in the field space in quantum field theories, and its relationship to notions of entanglement between spatial regions in their gravitational duals. This will be done in known examples of the holographic correspondence which appear in String Theory. The second goal is to find the detailed holographic map in a class of exactly solvable models which are dual descriptions of black holes. The third goal is to apply the concepts and methods developed to learn about entanglement properties of many-body systems which appear in diverse areas of physics. The results of this research will throw light on the origins of the holographic correspondence and the process in which the internal degrees of freedom of field theories metamorphose into additional dimensions in space-time.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.

该奖项为肯塔基大学Sumit R. Das教授的研究活动提供资金。QuantumMechanics描述了原子，核和基本颗粒的微观世界中的所有已知现象。一般相对论是重力理论：它描述了宏观世界中的引力现象，从陆地到天文学量表。为了获得连贯的全能物理理论，有必要以逻辑上一致的方式将这两组定律结合在一起。但是，这样一个一致的框架的构建仍然是当代物理学中最重要的未解决的基础问题之一。该项目旨在解决一些尝试结合量子力学和一般相对论时出现的几个问题，这些问题使用了最近在这两个领域中获得的新见解。将使用的一种关键成分是“量子纠缠” ---量子力学的属性，它解释了为什么在彼此之间进行的测量值可以精确地相关联。量子纠缠是自然界观察到的各种物理现象的核心，并且是量子计算机构建中使用的基本原理之一。因此，这项研究的结果将通过推进美国的基本科学来为国家利益提供服务。这是该项目的主要知识分子。 PI也将涉及。这项研究的研究生和博士后学者，从而为他们提供了有价值的培训，以发展为独立的科学家和教育者。此外，这项研究的结果将用于增强研究生和本科水平的课堂教育。 PI还计划在各种论坛中就此主题进行公开谈判，并在“ Osher Lifelong学习研究所”的讲座上为社区成员提供课程和丰富计划。 PI还计划在列克星敦进行“为每个人，肯塔基州的科学，肯塔基州的科学”，旨在提高社区的科学意识。从技术上讲，DAS教授将研究全息相应的方面，该方面将引力理论与较低时间时空次要数量的非宗教理论联系起来。这意味着空间本身是紧急概念。此外，越来越清楚的是，量子纠缠在这种出现中起着关键作用。将要追求的项目有三个主要目标。首先是探索最近在量子场理论中田间空间中开发的纠缠声明，及其与其引力双重二元空间区域之间的纠缠液的关系。这将在字符串理论中出现的全息相应的已知示例中进行。第二个目标是在一系列可解决的模型中找到详细的全息图，这些模型是黑洞的双重描述。第三个目标是应用开发的概念和方法来了解出现在物理学领域的多体系统的纠缠属性。这项研究的结果将阐明全息词的起源以及内部现场理论自由度变态的过程中，这是时空的额外维度。该奖项反映了NSF的法定任务，并通过评估基金会的智力和更广泛的影响来诚实地认为，通过评估诚实的支持。

项目成果

Entanglement entropy and phase space density: lowest Landau levels and 1/2 BPS states

纠缠熵和相空间密度：最低朗道能级和 1/2 BPS 态

• DOI: 10.1007/jhep06(2022)046
• 发表时间: 2022
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: Das, Sumit R.;Hampton, Shaun;Liu, Sinong
• 通讯作者: Liu, Sinong

QCD, strings and emergent space

QCD、弦和涌现空间

• DOI: 10.1140/epjs/s11734-021-00361-0
• 发表时间: 2022
• 期刊: The European Physical Journal Special Topics
• 作者: Das, Sumit R.

Entanglement entropy in internal spaces and Ryu-Takayanagi surfaces

内部空间和 Ryu-Takayanagi 表面的纠缠熵

• DOI: 10.1007/jhep04(2023)141
• 发表时间: 2023
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: Das, Sumit R.;Kaushal, Anurag;Mandal, Gautam;Nanda, Kanhu Kishore;Radwan, Mohamed Hany;Trivedi, Sandip P.
• 通讯作者: Trivedi, Sandip P.

Path integral complexity and Kasner singularities

• DOI: 10.1007/jhep01(2022)150
• 发表时间: 2021-11
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: Paweł Caputa;D. Das;Sumit R. Das

Finiteness of entanglement entropy in collective field theory

集体场论中纠缠熵的有限性

• DOI: 10.1007/jhep12(2022)052
• 发表时间: 2022
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: Das, Sumit R.;Jevicki, Antal;Zheng, Junjie
• 通讯作者: Zheng, Junjie