CRM 2015 Thematic Semester: AdS/CFT, Holography, Integrability

CRM 2015年主题学期：AdS/CFT、全息、可集成性

• 批准号: 1513526
• 负责人: Alexander Its
• 金额: $ 2万
• 依托单位: Indiana University
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2015
• 资助国家: 美国
• 起止时间: 2015-07-01 至 2016-06-30
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=1513526&HistoricalAwards=false
• 关键词: CRM; 2015; Thematic; Semester; AdS

This award supports participation by US-based researchers in two workshops that are parts of a Thematic Semester on the Anti-de-Sitter/Conformal Field Theory (AdS/CFT) correspondence. The Thematic Semester will be held at the Centre de Recherches Mathématiques (CRM) in Montreal, Canada. The term "AdS/CFT correspondence" refers to a remarkable connection between two major directions in modern theoretical physics, string theory and Yang-Mills theory. The study of this correspondence is intimately related to some of the most fundamental questions in contemporary theoretical physics, such as the formation of black holes and early-universe cosmology. The topic also has applications to quantum chromodynamics and condensed matter physics. The objective of this project is to support the participation of junior US researchers in two workshops organized within this thematic semester: "Positive Grassmannians: Applications to integrable systems and super Yang-Mills scattering amplitudes," held July 27 - 31, 2015, and "Module spaces, integrable systems, and topological recursion," held January 9 - 13, 2016. The planned semester at the Centre de Recherches Mathématiques will represent the state of the art in the studies of the Anti-de-Sitter/Conformal Field Theory (AdS/CFT) correspondence. A special focus will be those aspects of the AdS/CFT correspondence that allow for exact solutions, such as the appearance of integrability in the planar limit of super-Yang-Mills theory, lower dimensional models, higher-spin theories, as well as topological field and topological string theories. The semester will be a unique forum that brings researchers with expertise in the AdS/CFT correspondence together with experts in integrability. This interdisciplinary activity will involve participation of many distinguished mathematicians, physicists, and mathematical physicists. The semester will provide training in these very important domains for a significant number of junior US researchers (postdocs, junior faculty, and graduate students) who participate. More detailed description of the workshops supported by this award can be found in the webpages: http://www.crm.umontreal.ca/2015/Amplitudes15/index_e.php http://www.crm.umontreal.ca/2016/Moduli16/index_e.php The description of the entire thematic semester is presented in the webpage: http://www.crm.umontreal.ca/Holography2015/

该奖项支持美国研究人员参加两个研讨会，这两个研讨会是反德西特/共形场理论（AdS/CFT）对应专题学期的一部分。 专题学期将在加拿大蒙特利尔的Centre de Recherches Mathématiques（CRM）举行。 “AdS/CFT对应”一词指的是现代理论物理学中两个主要方向--弦理论和杨-米尔斯理论--之间的显著联系。 对这种对应关系的研究与当代理论物理学中的一些最基本的问题密切相关，例如黑洞的形成和早期宇宙学。这个主题也应用于量子色动力学和凝聚态物理。该项目的目标是支持美国初级研究人员参加本专题学期内组织的两个研讨会：“正格拉斯曼：应用于可积系统和超级杨-米尔斯散射振幅”，于2015年7月27日至31日举行，“模块空间，可积系统和拓扑递归”，于2016年1月9日至13日举行。在中心德研究数学计划学期将代表在反德西特/共形场理论（AdS/CFT）对应的研究的最先进的状态。一个特别的重点将是那些方面的AdS/CFT对应，允许精确的解决方案，如外观的可积性在平面极限的超杨-米尔斯理论，低维模型，高自旋理论，以及拓扑场和拓扑弦理论。本学期将是一个独特的论坛，将具有AdS/CFT通信专业知识的研究人员与可集成性专家聚集在一起。这项跨学科的活动将涉及许多杰出的数学家，物理学家和数学物理学家的参与。本学期将提供这些非常重要的领域的培训，为大量的初级美国研究人员（博士后，初级教师和研究生）谁参加。该奖项支持的研讨会的更多详细描述可以在网页中找到：http://www.crm.umontreal.ca/2015/Amplitudes15/index_e.php http://www.crm.umontreal.ca/2016/Moduli16/index_e.php整个专题学期的描述在网页中：http://www.crm.umontreal.ca/Holography2015/