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。最近，利用对偶对称网络研究弦理论取得了很大进展，这些对偶对称网络将非微扰效应与微扰效应联系起来。这个项目涉及弦理论的研究，重点是理论的超引力极限。本文的研究目标包括：1）不同维数下超对称解的分类。这里的方法是使用Killing对称对超对称解进行分类，表示为双旋量。2）反德西特/共形场论（AdS/CFT）对应的研究，特别是将高阶导数修正纳入对应的超引力侧的经典解中，以了解它们对共形场论的影响。3）弦论基础的非微扰理论的发展4）弦理论的唯象意义，特别是在宇宙学中使用超引力的宇宙学解。许多更广泛的影响来自于PI是贝鲁特美国大学（AUB）高级数学科学中心（CAMS）主任。该中心对黎巴嫩和该地区的科学具有重大的影响潜力。这种联系具有“广泛影响”的潜力，其实质性意义远远大于通常给予个别研究人员的补助金。该中心对学生的培训，主办各种科学研讨会，暑期学校和国际会议产生了重大影响。

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.