4 papers
Anomaly of Continuous Symmetries from Topological Defect Network
Qiang Jia, Ran Luo, Jiahua Tian +2
We show that the 't Hooft anomaly of a quantum field theory with continuous flavor symmetry can be detected from rearrangements of the topological defect webs implementing the glob…
Categorical Continuous Symmetry
Qiang Jia, Ran Luo, Jiahua Tian +2
We define the symmetry category in 1+1d for continuous 0-form -symmetry to be , the category of skyscraper sheaves of finite dimensional vector spaces with fi…
Topological Holography for Mixed-State Phases and Phase Transitions
Ran Luo, Yi-Nan Wang, Zhen Bi
We extend the symmetry topological field theory (SymTFT) framework to open quantum systems. Using canonical purification, we embed mixed states into a doubled (2+1)-dimensional top…
Symmetry Topological Field Theory for Flavor Symmetry
Qiang Jia, Ran Luo, Jiahua Tian +2
In this Letter, we demonstrate that the Symmetry Topological Field Theory (SymTFT) associated to a Quantum Field Theory (QFT) with continuous non-abelian -flavor symmetry is a $…