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 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…
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…
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…