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 …
(SPT-) LSM theorems from projective non-invertible symmetries
Projective symmetries are ubiquitous in quantum lattice models and can be leveraged to
constrain their phase diagram and entanglement structure. In this paper, we investigate the …
constrain their phase diagram and entanglement structure. In this paper, we investigate the …
Exploring -ality defects in 2-dim QFTs
DC Lu, Z Sun, Z Zhang - arXiv preprint arXiv:2406.12151, 2024 - arxiv.org
The Tambara-Yamagami (TY) fusion category symmetry $\text {TY}(\mathbb {A},\chi,\epsilon)
$ describes the enhanced non-invertible self-duality symmetry of a $2 $-dim QFT under …
$ describes the enhanced non-invertible self-duality symmetry of a $2 $-dim QFT under …
Kramers-Wannier self-duality and non-invertible translation symmetry in quantum chains: a wave-function perspective
HC Zhang, G Sierra - arXiv preprint arXiv:2410.06727, 2024 - arxiv.org
The Kramers-Wannier self-duality of critical quantum chains is examined from the
perspective of model wave functions. We demonstrate, using the transverse-field Ising chain …
perspective of model wave functions. We demonstrate, using the transverse-field Ising chain …
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 …
Gauging C on the Lattice
T Jacobson - arXiv preprint arXiv:2406.12075, 2024 - arxiv.org
We discuss general aspects of charge conjugation symmetry in Euclidean lattice field
theories, including its dynamical gauging. Our main focus is $ O (2)= U (1)\rtimes\mathbb {Z} …
theories, including its dynamical gauging. Our main focus is $ O (2)= U (1)\rtimes\mathbb {Z} …