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

该奖项支持美国研究人员参加两个研讨会，这些研讨会是反-德-西特/共形场理论（AdS/CFT）对应主题学期的一部分。主题学期将在加拿大蒙特利尔的数学研究中心（CRM）举行。“AdS/CFT对应”一词指的是现代理论物理学中弦理论和杨-米尔斯理论两个主要方向之间的显著联系。这种对应性的研究与当代理论物理学中一些最基本的问题密切相关，比如黑洞的形成和早期宇宙宇宙学。本课题也适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主题学期组织的两个研讨会：“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，以及“模块空间，可积系统和拓扑递推”，于2016年1月9日至13日举行。计划在mathacimmatiques研究中心的学期将代表反-德-西特/共形场理论（AdS/CFT）通信研究的最新水平。特别关注AdS/CFT对应中允许精确解的那些方面，例如超杨-米尔斯理论的平面极限中可积性的出现，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，汇集了AdS/CFT通信方面的专业研究人员和可积性方面的专家。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。本学期将为大量参与的美国初级研究人员（博士后、初级教师和研究生）提供这些非常重要领域的培训。关于该奖项支持的研讨会的更详细描述可以在以下网页中找到：http://www.crm.umontreal.ca/2015/Amplitudes15/index_e.php http://www.crm.umontreal.ca/2016/Moduli16/index_e.php整个主题学期的描述可以在网页http://www.crm.umontreal.ca/Holography2015/中找到

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/