Research in Field Theory and String Theory

场论和弦理论研究

• 批准号: 1818878
• 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: Standard Grant
• 财政年份: 2018
• 资助国家: 美国
• 起止时间: 2018-09-01 至 2023-07-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1818878&HistoricalAwards=false
• 关键词: Research; Field; Theory; String

This award funds the research activities of Professor Sumit R. Das at the University of Kentucky. As part of his research, Professor Das aims to explore the unification of gravity with quantum mechanics using a variety of new theoretical and conceptual tools. He will also study the properties of a variety of quantum-mechanical systems when they are not in equilibrium. Both these problems are among the most important foundational problems in physics. Consequently, research in this area serves the national interest by advancing fundamental science in the United States. Professor Das will also involve graduate students in this research, thereby providing them with the valuable training necessary to develop into independent scientists and educators. In addition, the results of this research will be used to enhance classroom education. Professor Das also plans to give public talks about the subject of his research in various forums, particularly "Science for Everyone, KY", which will serve to increase scientific awareness within the larger public community.More technically, Professor Das will study aspects of the holographic correspondence which relates gravitational physics to non-gravitational theories which live in lower numbers of spacetime dimensions. This correspondence has been used to understand puzzles related to the Hawking radiation of black holes by mapping these puzzles to problems in conventional quantum theory of the type which appears in electroweak and strong interactions. At the same time, this correspondence has thrown valuable light on difficult problems in strongly interacting quantum many-body systems which appear in particle physics, nuclear physics, or cold-atom physics, by mapping these problems onto problems in classical gravity. Overall, the projects to be tackled have two principal goals. The first involves deciphering the precise way in which the lower-dimensional non-gravitational theory metamorphoses into a higher-dimensional theory of gravity. This will be done by exploring solvable models, particularly those whose gravity descriptions contain black holes, and by applying the ideas of quantum information theory to understand the emergence of space. The second aim is to apply gravitational physics to gain insight into universal aspects of how systems achieve thermal equilibrium --- a question which lies at the heart of many diverse areas of physics.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Sumit R教授的研究活动。肯塔基州大学的Das。作为研究的一部分，Das教授旨在使用各种新的理论和概念工具探索引力与量子力学的统一。 他还将研究各种量子力学系统在不平衡时的性质。 这两个问题都是物理学中最重要的基础问题之一。 因此，这一领域的研究通过推进美国的基础科学来服务于国家利益。 Das教授还将让研究生参与这项研究，从而为他们提供发展成为独立科学家和教育家所需的宝贵培训。此外，这项研究的结果将用于加强课堂教育。Das教授还计划在各种论坛上公开谈论他的研究主题，特别是“Science for Everyone，KY”，这将有助于提高更大的公众社区的科学意识。更技术性地，Das教授将研究全息对应的各个方面，它将引力物理学与生活在较低时空维度的非引力理论联系起来。这种对应关系被用来理解与黑洞霍金辐射有关的谜题，方法是将这些谜题映射到传统量子理论中出现在电弱相互作用和强相互作用中的问题。与此同时，这种对应关系通过将强相互作用量子多体系统中的难题映射到经典引力中的问题，为粒子物理学、核物理学或冷原子物理学中出现的这些难题提供了有价值的线索。 总的来说，要处理的项目有两个主要目标。 第一个问题涉及到破译低维非引力理论转变为高维引力理论的精确方式。这将通过探索可解模型来实现，特别是那些引力描述包含黑洞的模型，并通过应用量子信息理论的思想来理解空间的出现。 第二个目标是应用引力物理学深入了解系统如何实现热平衡的普遍方面-这是物理学许多不同领域的核心问题。该奖项反映了NSF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

Near conformal perturbation theory in SYK type models

SYK型模型中的近共形微扰理论

• DOI: 10.1007/jhep12(2020)171
• 发表时间: 2020
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: Das, Sumit R.;Ghosh, Animik;Jevicki, Antal;Suzuki, Kenta
• 通讯作者: Suzuki, Kenta

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

Quantum quench in non-relativistic fermionic field theory: harmonic traps and 2d string theory

非相对论费米子场论中的量子猝灭：谐波陷阱和二维弦理论

• DOI: 10.1007/jhep08(2019)176
• 发表时间: 2019
• 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

Gauge invariant target space entanglement in D-brane holography

D 膜全息术中规范不变的目标空间纠缠

• DOI: 10.1007/jhep04(2021)225
• 发表时间: 2021
• 期刊: Journal of High Energy Physics
• 影响因子: 5.4
• 作者: Das, Sumit R.;Kaushal, Anurag;Liu, Sinong;Mandal, Gautam;Trivedi, Sandip P.
• 通讯作者: Trivedi, Sandip P.

Bulk entanglement entropy and matrices

体纠缠熵和矩阵

• DOI: 10.1088/1751-8121/abafe4
• 发表时间: 2020
• 期刊: Journal of Physics A: Mathematical and Theoretical
• 作者: Das, Sumit R;Kaushal, Anurag;Mandal, Gautam;Trivedi, Sandip P
• 通讯作者: Trivedi, Sandip P