場の量子論における双対性の弦理論による理解

在此期间，我们一直致力于从全息术中研究4d QCD的反常现象，并对这个问题有了一些了解。同时，我们一直致力于研究5d中的非超对称不动点问题。5d不动点本质上是非微扰的，并且不能使用传统的方法（例如围绕自由场拉格朗日的微扰）来检测。然而，在21世纪世纪，弦理论明确地构建了过多的5d相互作用超共形理论。世纪的第二个十年，拓扑相在三维规范理论中得到了成功的应用。特别是许多固定点预测通过检测给定QFT的相空间的区域，其中在陈西蒙斯耦合发生跳跃。这个能级的完整性使它成为RG下相当稳健的量，特别是这个量的符号变化通常是一些有趣的物理学潜伏在后面的信号。鉴于这些想法在3d中的巨大成功，很自然地启动一个计划，将其中一些想法输出到5d规范理论的研究中。特别是，我们试图在超对称破缺变形中实现这一点。我们扫描了5d规范理论的背景陈西蒙斯水平，为瞬子对称性显示了符号的变化，因为我们改变了规范耦合的值。这使我们能够扩展几个家庭的5D SCFT的相图。

During this period we have been working on anomalies of 4d QCD from holography and gained some insight into the problem.In parallel, we have been working on the question of non-supersymmetric fixed points in 5d. 5d fixed points are intrinsically non-perturbative, and cannot be detected using traditional methods, such as perturbing around free field Lagrangian. However, during the 21st century, a plethora of interacting superconformal theories in 5d were explicitly constructed in string theory. The second decade of the 21st century saw a successful application of topological phases in 3d gauge theories. In particular many fixed points were predicted by detecting a region of the phase space of given QFTs where a jump in the Chern Simons coupling occurs. The integrality of this level makes it a rather robust quantity under RG, and in particular a change in the sign of this quantity is typically a signal that some interesting physics is lurking behind. Given the enormous success of such ideas in 3d, it is natural to initiate a program to export some of these ideas to investigate 5d gauge theories. In particular, we tried to implement this in supersymmetry breaking deformations. We scanned through 5d gauge theories whose background Chern Simons level, for the instantonic symmetry shows a change in sign, as we vary the value of the gauge coupling. This allowed us to extend the phase diagram of several families of 5d SCFTs.