Superstring Theory and Black Hole Physics

该奖项是根据2009年美国复苏和再投资法案（公法111-5）资助的。近年来，利用非微扰效应与微扰效应之间的对偶对称性网络来研究弦理论取得了许多进展。这个项目涉及弦理论的研究，重点是弦理论的超重力极限。研究的目标包括：1)超对称（SUSY）解在不同维度上的分类。这里的方法是使用杀戮对称对SUSY解决方案进行分类，表示为双盲。2)反德西特/共形场论（AdS/CFT）对应关系的研究，特别是将高导数修正纳入对应关系的超引力侧的经典解中，以了解它们对共形场论的影响。3)弦理论基础的非微扰理论的发展4)弦理论的现象学含义，特别是在宇宙学中使用超引力的宇宙学解。PI作为贝鲁特美国大学（AUB）高等数学科学中心（CAMS）的主任，产生了许多更广泛的影响。该中心具有对黎巴嫩和该地区的科学产生重大影响的潜力。这种联系具有潜在的“广泛影响”，在更实质性的意义上比个人研究者资助的习惯。该中心对学生的培训有重大影响，举办各种科学研讨会，暑期学校和国际会议。

This award is funded under the American Recovery and Reinvestment Act of 2009 (Public Law 111-5).Recently there has been a lot of progress studying string theory using a web of duality symmetries relating non-perturbative effects to perturbative ones. This project involves studies in string theory with emphasis on the supergravity limit of the theory. Some of the goals of the research include:1) The classification of supersymmetric (SUSY) solutions in various dimensions. Here the approach is the classification of SUSY solutions using Killing symmetries, represented as bispinors.2) The study of the Anti-de Sitter / Conformal Field Theory (AdS/CFT)correspondence, specifically incorporating higher derivative corrections into the classical solutions on the Supergravity side of the correspondence to see their implications for Conformal Field Theory.3) Development of the non-perturbative theory underlying string theory4) Phenomenological implications of string theory, specifically in cosmology using cosmological solutions to Supergravity. Many of the broader implications follow from the PI being the director of the Center for Advanced Mathematical Sciences (CAMS) at the American University in Beirut (AUB). This center has a significant potential for impact on science in Lebanon and in the region. This connection has the potential for "broad impact" in a much more substantial sense than is customary for an individual investigator grant. The Center has a significant impact on the training of students, hosting various scientific workshops, summer schools and international conferences.