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，这两个研讨会是反德西特/共形场理论(ADS/CFT)通信专题学期的一部分。专题学期将在加拿大蒙特利尔的数学研究中心(CRM)举行。术语“ADS/CFT对应”指的是现代理论物理中的两个主要方向--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宇宙学。这一课题也适用于量子色动力学和凝聚态物理。这个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：2015年7月27-31日举行的“正Grassmannians：应用于可积系统和超杨-Mills散射幅度”和2016年1月9日-13日举行的“模空间、可积系统和拓扑递归”。在数学研究中心计划的学期将代表反德西特/共形场论(ADS/CFT)对应研究的最新水平。一个特别的焦点将是ADS/CFT对应的那些允许精确解的方面，例如在超杨-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的平面极限中出现的可积性。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积性方面的专家聚集在一起。这一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。本学期将为参与其中的相当数量的初级美国研究人员(博士后、初级教师和研究生)提供这些非常重要的领域的培训。有关该奖项支持的研讨会的更详细说明可在以下网页中找到：http://www.crm.umontreal.ca/2015/Amplitudes15/index_e.php http://www.crm.umontreal.ca/2016/Moduli16/index_e.php整个专题学期的说明载于网页：http://www.crm.umontreal.ca/Holography2015/

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/