近日，韩国浦项科技大学物理系的Hee-Cheol Kim及其研究团队取得一项新进展。经过不懈努力，他们提出用于五维非拉格朗日理论的超共形指数计算的新方法。相关研究成果已于2024年3月28日在国际知名学术期刊《高能物理杂志》上发表。

该研究团队创新性地提出了两种计算在质量变形下，无法通过常规拉格朗日描述的五维超共形场论的超共形指数的新方法。其一，通过运用UV拉格朗日理论中的希格斯分支流，并借鉴IIB型弦理论中五膜网的跃迁机制。其二，则巧妙利用O7+平面与O7-平面间的关联，结合八个D7膜，特别适用于涉及O7+平面的膜构型所对应的特定非拉格朗日理论。

在此新方法的实际运用中，研究人员成功计算了所有已知的一阶非拉格朗日理论的超共形指数，并借此指数识别了共形场理论（CFT）不动点上的味对称性及其整体结构。

附：英文原文

Title: Superconformal indices for non-Lagrangian theories in five dimensions

Author: Kim, Hee-Cheol, Kim, Minsung, Kim, Sung-Soo, Zafrir, Gabi

Issue&Volume: 2024-03-28

Abstract: We propose two novel methods for computing the superconformal index of 5d superconformal field theories that cannot be described by conventional Lagrangian descriptions under mass deformations. The first approach involves the use of Higgs branch flows from UV Lagrangian theories, guided by transitions in 5-brane webs in Type IIB string theory. The second method employs the relationship between O⁷⁺-plane and O^7--plane with eight D7-branes, which applies to particular non-Lagrangian theories realized by brane configurations involving an O⁷⁺-plane. As a concrete application of our method, we compute the superconformal indices for all known rank-1 non-Lagrangian theories, which we also use to identify flavor symmetries and their global forms at the conformal field theory (CFT) fixed points.

DOI: 10.1007/JHEP03(2024)164

Source: https://link.springer.com/article/10.1007/JHEP03(2024)164