Gravity, Holography and Strongly Coupled Quantum Matter.

该奖项资助理哈伊大学塞拉·克雷莫尼尼教授的研究活动。目前，我们对引力的最佳理解依赖于爱因斯坦的广义相对论。尽管这个理论取得了许多成功，但它并不具备在所有长度尺度上描述引力的能力——当量子力学效应和引力效应同等重要时，它就失败了。弦理论的发展以及某些引力理论与纯量子力学理论之间的深刻联系，使我们对自然界的基本组成部分和时空结构有了新的认识。它们还带来了有价值的新工具来探测量子系统，这些系统的组成部分相互作用强烈——众所周知，这些系统很难用标准技术来检测。克雷莫尼尼教授的研究目标是推进我们对量子引力和时空微观结构的理解。此外，本研究旨在揭示驱动强相互作用量子材料（如高温超导体）非常规行为的基本机制。在这个方向上的进步可以导致新技术的发展，从而使整个社会受益。因此，这项研究在技术和工业以及基础科学方面具有潜在的长期应用，从而促进了所有这些领域的国家利益。拟议的工作还将产生重大的更广泛的影响。克雷莫尼尼教授将让研究生参与她的研究，为初级物理学家提供职业生涯早期阶段的关键培训。她还将通过公开讲座与更广泛的社区分享令人兴奋的研究进展，并通过开发新课程将研究亮点融入教学中。在这个研究项目期间，Cremonini教授将在全息摄影的框架内解决这些问题，建立她在二元性的基础和现象学方面的专业知识。提议的项目将包括研究非相对论几何的重整化群流，将全息字典扩展到更少对称性的设置和新红外几何的构建，对称破缺相的全息实现，以及物质强相互作用相中的输运研究。这些项目是沿着几个互补的方向构建的，这些方向彼此紧密交织在一起。每个方向通过短期和长期项目解决研究计划的不同方面，同时使用分析和数值技术。该奖项反映了美国国家科学基金会的法定使命，并通过使用基金会的知识价值和更广泛的影响审查标准进行评估，被认为值得支持。

This award funds the research activities of Professor Sera Cremonini at Lehigh University. Our best understanding of gravity currently relies on Einstein's theory of general relativity. Despite its many successes, the theory is not equipped to describe gravity at all length scales --- it fails when quantum-mechanical effects and gravitational effects are equally important. The development of string theory and of deep connections between certain theories of gravity and purely quantum-mechanical theories have given us new insights into the basic building blocks of nature and the structure of spacetime. They have also led to valuable new tools to probe quantum systems whose constituents interact strongly with each other --- systems which are notoriously difficult to examine using standard techniques. The goal of Professor Cremonini's research is to advance our understanding of quantum gravity and the microscopic structure of spacetime. In addition, this research aims to unveil the fundamental mechanisms driving the unconventional behavior of strongly interacting quantum materials such as high-temperature superconductors. Progress in this direction can lead to the development of new technologies that can benefit society as a whole. Thus, this research has potential long-term applications to technology and industry as well as fundamental science, thereby advancing the national interest in all of these areas. The proposed work will also have significant broader impacts. Professor Cremonini will involve graduate students in her research, providing critical training for junior physicists in the early stages of their careers. She will also share exciting research advances with the broader community through public lectures and incorporate research highlights into her teaching through the development of new courses. Over the duration of this research project, Professor Cremonini will address these questions working within the framework of holography, building on her expertise in both fundamental and phenomenological aspects of the duality. The proposed projects will involve studies of renormalization-group flow for non-relativistic geometries, extensions of the holographic dictionary to settings with fewer symmetries and the construction of new infrared geometries, holographic realizations of symmetry broken phases, and studies of transport in strongly interacting phases of matter. The projects are structured along several complementary directions which are deeply intertwined with each other. Each direction addresses a different aspect of the research program through both short-term and long-term projects, using both analytical and numerical techniques.This award reflects NSF's statutory mission and has been deemed worthy of support through evaluation using the Foundation's intellectual merit and broader impacts review criteria.