Collaborative Research: Entanglement, Geometry and the Physics of Fields, Strings and Gravity

合作研究：纠缠、几何以及场、弦和重力的物理

• 批准号: 2112548
• 负责人: Daniel Kabat
• 金额: $ 27万
• 依托单位: Research Foundation Of The City University Of New York (Lehman)
• 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=2112548&HistoricalAwards=false
• 关键词: Collaborative; Research; Entanglement; Geometry; Physics

This Collaborative grant funds the research activities of Professors Sebastian Franco, Parameswaran Nair, and Alexios Polychronakos at the City College of New York, and Professor Daniel Kabat at the Lehman College of New York. In this research project, Professors Franco, Nair, Polychronakos, and Kabat will explore two fundamental concepts. The first of these is "entanglement". This refers to the surprising correlations between measurements carried out far from each other (sometimes referred to as "quantum weirdness” or "spooky action at a distance”). The second of these is the curvature of space and time, which is the source of gravitational forces according to Einstein’s theory of gravity. The PIs will strive to relate and unify these concepts by establishing connections and developing new mathematical tools. These concepts will be explored in quantum field theory, the fundamental structural framework for describing all known particle interactions, and in string theory, the most promising direction for a full unification of quantum mechanics with gravity. The results will be applicable to a wide variety of physical systems including elementary particles, quantum fluids, and gravity. This research will advance the national interest by maintaining US preeminence in the exploration and understanding of physical laws, the central goal of all research in physics. The project will also involve graduate students, providing crucial research training for young scientists. Undergraduate students, especially from underrepresented groups, will be integrated into various aspects of the research, thereby further broadening the societal impact of this project.More technically, the research by Professors Sebastian Franco, Parameswaran Nair, Alexios Polychronakos, and Daniel Kabat involves the use of a number of new theoretical techniques, developed by the PIs and collaborators, and applied to a variety of problems of current interest including entanglement in field theory, gauge field dynamics, supersymmetry breaking, dualities, and bulk reconstruction in AdS/CFT. Advances in one aspect will inform developments in another since, remarkably, there is a common thread of similar underlying mathematical and theoretical tools. Some of the topics will be of direct relevance and proximity to observations, such as supersymmetry breaking and quantum fluids, while other topics are focused on deeper conceptual and mathematical questions, such as bulk reconstruction in the holographic AdS/CFT correspondence.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.

这项合作赠款资助了纽约市城市学院的塞巴斯蒂安·佛朗哥（Sebastian Franco），帕拉梅斯瓦兰·奈尔（Parameswaran Nair）和阿列克谢奥斯·帕利奇罗纳科斯（Alexios Polychronakos）的研究活动，以及纽约雷曼学院的丹尼尔·卡巴特（Daniel Kabat）教授。在这个研究项目中，佛朗哥，奈尔，多尔加罗纳科斯和卡巴特教授将探索两个基本概念。其中的第一个是“纠缠”。这是指彼此遥远的测量之间的惊人相关性（有时称为“量子陌生感”或“远距离的怪异动作”）。其中第二个是时空的曲率，根据爱因斯坦的重力理论，这是重力的来源。 PI将努力通过建立联系并开发新的数学工具来联系和统一这些概念。这些概念将在量子场理论中探索，量子场理论是描述所有已知粒子相互作用的基本结构框架，以及在弦理论中，这是与重力完全统一量子力学的最有希望的方向。结果将适用于多种物理系统，包括基本颗粒，量子流体和重力。这项研究将通过在探索和理解物理定律（所有物理学研究的核心目标）中维持美国的优势来提高国家利益。该项目还将涉及研究生，为年轻科学家提供重要的研究培训。本科生，尤其是来自代表性不足的群体的学生将融入研究的各个方面，从而进一步扩大了该项目的社会影响。从技术上讲，塞巴斯蒂安·弗朗西（Sebastian Franco），Parameswaran Nair，Parameswaran Nair，Alexios polychronakos和Daniel Kabat的研究涉及到了许多新的理论，以及piss ofer the portiques and piss of piss of piss的研究，以及pis的使用，以及piss的使用。在ADS/CFT中，包括现场理论的纠缠，量规场动力学，超对称性，二元性和批量重建在内的兴趣。在一个方面的进步将为另一个方面的发展提供信息，因为很明显，存在类似的基本数学和理论工具的共同点。某些主题将直接相关性和与观察的邻近性，例如超对称性断裂和量子流体，而其他主题则集中在更深层次的概念和数学问题上，例如全息ADS/CFT中的批量重建等批量重建。 标准。

项目成果

Back to the future: Causality on a moving braneworld

回到未来：移动膜世界中的因果关系

• DOI: 10.1103/physrevd.107.025016
• 发表时间: 2023
• 期刊: Physical Review D
• 影响因子: 5
• 作者: Greene, Brian;Kabat, Daniel;Levin, Janna;Porrati, Massimo
• 通讯作者: Porrati, Massimo

Defining entanglement without tensor factoring: A Euclidean hourglass prescription

在没有张量分解的情况下定义纠缠：欧几里得沙漏处方

• DOI: 10.1103/physrevd.105.085003
• 发表时间: 2022
• 期刊: Physical Review D
• 影响因子: 5
• 作者: Anegawa, Takanori;Iizuka, Norihiro;Kabat, Daniel
• 通讯作者: Kabat, Daniel

Extractable entanglement from a Euclidean hourglass

从欧几里得沙漏中提取纠缠

• DOI: 10.1103/physrevd.106.085010
• 发表时间: 2022
• 期刊: Physical Review D
• 影响因子: 5
• 作者: Anegawa, Takanori;Iizuka, Norihiro;Kabat, Daniel
• 通讯作者: Kabat, Daniel

Superluminal propagation on a moving braneworld

移动膜世界上的超光速传播

• DOI: 10.1103/physrevd.106.085001
• 发表时间: 2022
• 期刊: Physical Review D
• 影响因子: 5
• 作者: Greene, Brian;Kabat, Daniel;Levin, Janna;Menon, Arjun S.
• 通讯作者: Menon, Arjun S.