8 papers
Understanding Non-Split 2-Group Symmetry: (3+1)D SymTFT, Anomaly and Bordism
Zhenbang Gu, Ran Luo, Yi-Nan Wang +1
We present a systematic study of finite, non-split 2-group symmetries with a non-trivial Postnikov class, focusing on the simplest example with a 0-form symmetry and…
On Quantum Aspects of 1-Form Symmetries II: Bordism, Invertible Phases, and Anomalies
Weizhen Jia, Yi-Nan Wang, Yi Zhang
We study quantum anomalies associated with 1-form symmetries from the perspective of invertible phases and bordism. We compute the oriented and spin bordism groups of the Ei…
On Quantum Aspects of 1-Form Symmetries I: BV-BRST Cohomology and Anomaly Polynomials
Weizhen Jia, Yi-Nan Wang, Yi Zhang
We investigate the quantum aspects of gauging continuous 1-form global symmetries. In this paper, we study the BV-BRST quantization of a 2-form gauge field, described geomet…
Flat Gauging of Continuous (Non-invertible) Symmetries and Non-compact BF SymTFT for Compact Boson
Qiang Jia, Yi Zhang
We study flat gauging of continuous symmetries by summing over flat gauge-field configurations. We focus on the two-dimensional compact boson and construct the torus partition func…
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…
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…
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 $…