Topics in String Theory

该奖项资助洛杉矶加州大学的Eric D'Hoker、Michael Gutperle和Per Kraus教授的研究活动。 弦理论仍然是在与量子力学（微观世界的物理学）一致的框架内统一自然界基本力的最有希望的候选者。 弦理论在过去几十年中的发展已经在许多其他领域产生了进步，这个学科继续吸引和激励理论物理学领域一些最聪明的研究生和博士后研究人员，从而通过促进基础科研的进步和培养下一代科学家来服务于国家利益。 拟议的研究旨在加深我们对弦理论的理解，无论是通过弦理论前沿的复杂计算，还是通过探索与我们宇宙可能的意外行为相关的新理论思想。该项目还将产生广泛的影响。 PI积极指导研究生和博士后研究人员。这包括与南加州的其他大学举行小组会议和组织会议，后者用于向更广泛的研究人员社区介绍加州大学洛杉矶分校的初级物理学家。 PI还参与了对公众的宣传，包括访问当地的小学，初中和高中，并与学生互动。 在更技术性的层面上，德霍克教授计划推进超弦微扰理论的研究，重点是双环振幅。 应用包括推导超引力的低能有效作用中的新项，以及研究高能理论的含义。Gutperle教授将研究纠缠熵的各个方面，包括与非局部算子和空间缺陷相关的影响，与纠缠相关的度量结构，以及模块化哈密顿量的具体计算。 克劳斯教授提出进一步研究高自旋引力及其与非线性对称代数理论的共形块结构的关系。他还计划继续研究黑洞微观状态的结构。

This award funds the research activities of Professors Eric D'Hoker, Michael Gutperle, and Per Kraus at the University of California, Los Angeles. String theory remains the most promising candidate for the unification of the fundamental forces of nature within a framework consistent with quantum mechanics, the physics of the microscopic world. Developments in string theory over the past few decades have spawned progress in many other fields, and the subject continues to attract and inspire some of the brightest graduate students and postdoctoral researchers in theoretical physics, thereby serving the national interest by promoting the progress of basic scientific research and training the next generation of scientists. The proposed research aims to deepen our understanding of string theory, both through sophisticated calculations at the frontier of string theory and through the exploration of new theoretical ideas associated with possible unexpected behaviors for our universe. This project will also have significant broader impacts. The PI's actively mentor graduate students and postdoctoral researchers. This includes holding group meetings and organizing conferences with other universities in Southern California, the latter serving to introduce junior physicists at UCLA to the broader community of researchers. The PI's are also involved in outreach to the general public, including visiting local elementary, middle, and high schools, and interacting with the students. At a more technical level, Professor D'Hoker plans to advance the subject of superstring perturbation theory, focusing on two-loop amplitudes. Applications include deducing new terms in the low-energy effective action of supergravity, and studying implications for the theory at high energy. Professor Gutperle will investigate aspects of entanglement entropy, including the effects associated with non-local operators and spatial defects, metric structures associated with entanglement, and the concrete calculation of the modular Hamiltonian. Professor Kraus proposes further investigations into higher-spin gravity and its relation to the conformal-block structure of theories with non-linear symmetry algebras. He also plans to continue his study of the structure of black hole microstates.