SymTFTs for Continuous non-Abelian Symmetries
arxiv(2024)
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.
更多查看译文
AI 理解论文
溯源树
样例
生成溯源树,研究论文发展脉络
Chat Paper
正在生成论文摘要