标题： 连续非阿贝尔对称性的对称TFTs 显示英文标题

标题： SymTFTs for Continuous non-Abelian Symmetries

摘要： 拓扑缺陷和算符对量子场的对称性给出了一个深远的推广。 一个比感兴趣的量子场论高一维的辅助拓扑场论，称为SymTFT，提供了一种自然的方法来捕捉这些算符。 这为对称性的几个应用提供了新的视角，但无法捕捉连续的非阿贝尔对称性。 本文的主要目的是填补这一空白。 在几何工程和全息原理的指导下，我们从SymTFT的角度恢复了非阿贝尔对称性表示理论的各种已知特征。 我们方法的核心是(平坦)自由杨-米尔斯理论与非阿贝尔BF理论之间的对偶性。 我们的结果自然地扩展到没有超对称性的模型。 显示英文摘要

摘要： Topological defects and operators give a far-reaching generalization of symmetries of quantum fields. An auxiliary topological field theory in one dimension higher than the QFT of interest, known as the SymTFT, provides a natural way for capturing such operators. This gives a new perspective on several applications of symmetries, but fails to capture continuous non-Abelian symmetries. The main aim of this work is to fill this gap. Guided by geometric engineering and holography, we recover various known features of representation theory of the non-Abelian symmetry from a SymTFT viewpoint. Central to our approach is a duality between (flat) free Yang-Mills and non-Abelian BF theories. Our results extend naturally to models without supersymmetry.