Realizing triality and -ality by lattice twisted gauging in (1+1)d quantum spin systems
In this paper, we study the twisted gauging on the (1+ 1) d lattice and construct various non-
local mappings on the lattice operators. To be specific, we define the twisted Gauss law …
local mappings on the lattice operators. To be specific, we define the twisted Gauss law …
Generating Lattice Non-invertible Symmetries
W Cao, L Li, M Yamazaki - arXiv preprint arXiv:2406.05454, 2024 - arxiv.org
Lattice non-invertible symmetries have rich fusion structures and play important roles in
understanding various exotic topological phases. In this paper, we explore methods to …
understanding various exotic topological phases. In this paper, we explore methods to …
Gauging modulated symmetries: Kramers-Wannier dualities and non-invertible reflections
Modulated symmetries are internal symmetries that act in a non-uniform, spatially modulated
way and are generalizations of, for example, dipole symmetries. In this paper, we …
way and are generalizations of, for example, dipole symmetries. In this paper, we …
Tensor networks for non-invertible symmetries in 3+ 1d and beyond
Tensor networks provide a natural language for non-invertible symmetries in general
Hamiltonian lattice models. We use ZX-diagrams, which are tensor network presentations of …
Hamiltonian lattice models. We use ZX-diagrams, which are tensor network presentations of …
Duality-preserving deformation of 3+1d lattice gauge theory with exact gapped ground states
P Gorantla, TC Huang - arXiv preprint arXiv:2409.10612, 2024 - arxiv.org
We propose and analyze a deformation of the 3+ 1d lattice $\mathbb Z_2 $ gauge theory
that preserves the non-invertible Wegner duality symmetry at the self-dual point. We identify …
that preserves the non-invertible Wegner duality symmetry at the self-dual point. We identify …