近日，瑞典乌普萨拉大学的Michele Del Zotto与英国杜伦大学的Iñaki García Etxebarria合作并取得一项新进展。经过不懈努力，他们对红外区的全局结构进行研究。相关研究成果已于2023年11月10日在国际知名学术期刊《高能物理杂志》上发表。

在本文中，研究人员论证了通过对红外类库仑相的详细分析，对称拓扑场论（TFT）可以被重建。特别值得一提的是，拓扑场论在紫外区和红外区之间存在匹配关系。这一发现为近期通过几何工程在各种弦/M/F理论设置中获得的结果提供了纯粹的场理论对应物，为确认和扩展四维和五维理论提供了依据。

据悉，量子场论中具有相同局域动力学的不同全局结构选择，会导致不同的配分函数和扩展算符谱。这种选择可以在更高维度的对称拓扑场论（Topological Field Theory：TFT）中重新表述。

附：英文原文

Title: Global structures from the infrared

Author: Del Zotto, Michele, Garca Etxebarria, Iñaki

Issue&Volume: 2023-11-10

Abstract: Quantum field theories with identical local dynamics can admit different choices of global structure, leading to different partition functions and spectra of extended operators. Such choices can be reformulated in terms of a topological field theory in one dimension higher, the symmetry TFT. In this paper we show that this TFT can be reconstructed from a careful analysis of the infrared Coulomb-like phases. In particular, the TFT matches between the UV and the IR. This provides a purely field theoretical counterpart of several recent results obtained via geometric engineering in various string/M/F theory setups for theories in four and five dimensions that we confirm and extend.

DOI: 10.1007/JHEP11(2023)058

Source: https://link.springer.com/article/10.1007/JHEP11(2023)058