RUI: Solitons in Holography

该奖项资助Sophia Domokos教授在纽约理工学院的研究活动。粒子物理学在确定物质的基本组成部分方面取得了巨大的进步。 尽管如此，许多常见的物理系统的行为方式我们并不完全理解，即使我们确切地知道它们是由什么组成的。 这些系统中的基本粒子相互作用如此强烈和频繁，以至于我们根本无法跟踪它们。 有时候会出现新的秩序：电子聚集在一起，使电流无限流动;夸克和胶子聚集在一起，形成原子核中的质子和中子。 基本粒子如何精确地创造这种新秩序仍然是一个谜。 这一领域的研究通过对基本物理系统（如原子核的内部）和描述它们的数学有更深入的科学理解来促进国家利益。 它还使科学家能够预测以前从未见过的新现象。 在她的研究中，Domokos教授旨在使用一个强大的概念，称为“全息二元性”，在这一领域取得进展。 她的项目还将产生更广泛的影响：她将让本科生参与前沿研究，为他们提供先进物理学的个性化培训，并在会议上展示他们的工作经验。 她还将向普通观众介绍她的工作。从技术上讲，多莫科斯教授的研究旨在通过超对称引力场中的“表亲”，深入了解现实世界中的强耦合孤子--如重子。 这些引力波来自D-膜的交叉点，它具有超对称性和弦论的强大的孤子发现机制。 Domokos教授的工作将包括在与重力场的膜相交处建立规范/重力对偶的两侧，包括识别类孤子真空和有限能量孤子状态，以及这些物体的低能行为的某些方面。 该项目还将产生强大的数学工具来解决弯曲空间中的孤子问题，并更全面地了解缺陷-量规/重力对偶性。该奖项反映了NSF的法定使命，并通过使用基金会的智力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 Sophia Domokos at the New York Institute of Technology. Particle physics has made enormous strides in pinpointing the elementary building blocks of matter. Still, many common physical systems behave in ways we don’t fully understand, even though we know exactly what they’re made of. The elementary particles in these systems interact so forcefully and often that we simply can't keep track of them. Sometimes a new order emerges: electrons team up to let electric currents flow indefinitely; elementary particles called quarks and gluons clump together to form protons and neutrons in atomic nuclei. How precisely elementary particles create this new order remains a mystery. Research in this realm advances the national interest by yielding a deeper scientific understanding of fundamental physical systems --- like the interior of the atomic nucleus --- and the mathematics that describes them. It also allows scientists to make predictions for new phenomena never seen before. In her research, Professor Domokos aims to use a powerful concept called "holographic duality" to make progress in this area. Her project will also yield significant broader impacts: she will involve undergraduate students in cutting-edge research, providing them with personalized training in advanced physics and experience presenting their work at conferences. She will also give lectures about her work to lay audiences.More technically, Professor Domokos's research is aimed at gaining insight into real-world strongly coupled solitons --- like baryons --- via their "cousins" in supersymmetric gravity duals. These gravity duals come from D-brane intersections, which have the powerful soliton-finding machinery of supersymmetry and string theory built in. Professor Domokos's work will include establishing both sides of the gauge/gravity duality in brane intersections with gravity duals, including identification of soliton-like vacua and finite-energy soliton states, and some aspects of the low-energy behavior of these objects. This program will also yield powerful mathematical tools with which to tackle solitons in curved space, and a more complete understanding of defect-gauge/gravity duality.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.