6 papers
Self-dual gauge theory in 2+1d: lattice model and topological phase transitions
Da-Chuan Lu, Chong Wang, Ashvin Vishwanath
Electric-magnetic self-duality of the gauge theory, realized microscopically as a half-lattice-translation exchanging electric charge and magnetic flux, has been an…
Sp(4,Z) actions on 3d U(1)^2 symmetric theories: Order-five duality and bilayer quantum Hall hierarchies
Yasin F. Alam, Andreas Karch, Da-Chuan Lu +1
The electromagnetic duality of 4d Maxwell theory induces theory-generating operations on 3d theories with global symmetry. For theories with $U(1…
Spontaneous breaking of non-invertible symmetries and duality to beyond-Landau transitions
Xie Chen, Shang Liu, Da-chuan Lu +1
Spontaneous symmetry breaking is a well-understood mechanism for generating distinct phases of matter. Recently, the notion of symmetry has been broadened to include operations wit…
Intrinsic NISPT Phases, igNISPT Phases, and Mixed Anomalies of Non-Invertible Symmetries
Da-Chuan Lu, Zhengdi Sun
A bosonic non-invertible Symmetry Protected Topological (NISPT) phase in (1+1)-dim is referred to as if it cannot be mapped, under discrete gauging, to a gappe…
Exploring -ality defects in 2-dim QFTs
Da-Chuan Lu, Zhengdi Sun, Zipei Zhang
The Tambara-Yamagami (TY) fusion category symmetry describes the enhanced non-invertible self-duality symmetry of a -dim QFT under gauging a finite…
SymSETs and self-dualities under gauging non-invertible symmetries
Da-Chuan Lu, Zhengdi Sun, Zipei Zhang
The self-duality defects under discrete gauging in a categorical symmetry can be classified by inequivalent ways of enriching the bulk SymTFT of with $\…