場の量子論における双対性の弦理論による理解

使用弦理论理解量子场论中的对偶性

• 批准号: 22KF0230
• 负责人: 杉本 茂樹
• 金额: $ 0.96万
• 依托单位: Kyoto University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for JSPS Fellows
• 财政年份: 2023
• 资助国家: 日本
• 起止时间: 2023-03-08 至 2025-03-31
• 项目状态: 未结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22KF0230/
• 关键词: QFT; fixed point; Chern Simons level

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.

在此期间，我们一直在从全息术中研究4D QCD的反常现象，并对这个问题有了一些了解。同时，我们一直在研究5d中的非超对称不动点问题。5维不动点本质上是非微扰的，不能用传统的方法来检测，例如围绕自由场拉格朗日的微扰。然而，在21世纪，弦理论显式地构建了过多的相互作用的5D超共形理论。21世纪的第二个十年见证了拓扑相在三维规范理论中的成功应用。特别是，通过检测给定量子傅里叶变换的相空间中发生Chern Simons耦合跳跃的区域来预测许多固定点。这个水平的完整性使得它在RG下是一个相当健壮的量，特别是这个量的符号的变化通常是一个信号，表明一些有趣的物理隐藏在后面。鉴于这些想法在3D领域取得的巨大成功，启动一个项目来输出其中一些想法来研究5D规范理论是很自然的。特别是，我们试图在超对称破坏形变中实现这一点。我们扫描了5D规范理论，其背景是陈·西蒙斯水平，因为瞬子对称性显示出符号的变化，随着规范耦合的值的变化。这使得我们可以扩展几个5D SCFT家族的相图。

项目成果

Tsinghua University(中国)

清华大学（中国）

University of Trento(イタリア)

特伦托大学（意大利）

Massive flows in AdS6/CFT5

AdS6/CFT5 中的海量流量

• DOI: 10.1016/j.physletb.2023.137899
• 发表时间: 2023
• 期刊: Physics Letters B
• 影响因子: 4.4
• 作者: Akhond Mohammad;Legramandi Andrea;Nunez Carlos;Santilli Leonardo;Schepers Lucas
• 通讯作者: Schepers Lucas

On the Higgs branch of brane systems with orientifolds

关于具有东方褶皱的膜系统的希格斯分支

• 发表时间: 2023
• 作者: Akhond Mohammad;Legramandi Andrea;Nunez Carlos;Santilli Leonardo;Schepers Lucas;Mohammad Akhond
• 通讯作者: Mohammad Akhond

Swansea University(英国)

斯旺西大学（英国）