6 papers
Hilbert Space and Defect Hilbert Spaces Associated with Categorical Symmetries
Qiang Jia, Jiahua Tian
We present a quantum mechanical approach to understanding the Hilbert space and the defect Hilbert spaces associated with line operators of BF theory combined with level- Chern-…
Categorical Symmetries via Operator Algebras
Qiang Jia, Ran Luo, Jiahua Tian +2
We propose that the symmetry category associated to a 2D quantum field theory with 0-form -symmetry with 't Hooft anomaly for a large class of Lie grou…
Candidate Gaugings of Categorical Continuous Symmetry
Qiang Jia, Cheng Ma, Jiahua Tian
Different gaugings of the global symmetry of a quantum field theory are closely related to its various phases. In this work, we study candidate gaugeable symmetries by analyzing ca…
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 f…
Symmetry, Symmetry Topological Field Theory and von Neumann Algebra
Qiang Jia, Jiahua Tian
We study the additivity and Haag duality of the von Neumann algebra of a quantum field theory with 0-form (and the dual -form) (non)-invertible glo…