Non-invertible symmetries and LSM-type constraints on a tensor product Hilbert space

N Seiberg, S Seifnashri, SH Shao - SciPost Physics, 2024 - scipost.org
We discuss the exact non-invertible Kramers-Wannier symmetry of 1+ 1d lattice models on a
tensor product Hilbert space of qubits. This symmetry is associated with a topological defect …

Fermionization of fusion category symmetries in 1+ 1 dimensions

K Inamura - Journal of High Energy Physics, 2023 - Springer
A bstract We discuss the fermionization of fusion category symmetries in two-dimensional
topological quantum field theories (TQFTs). When the symmetry of a bosonic TQFT is …

Symmetry TFT for subsystem symmetry

W Cao, Q Jia - Journal of High Energy Physics, 2024 - Springer
A bstract We generalize the idea of symmetry topological field theory (SymTFT) for
subsystem symmetry. We propose the 2-foliated BF theory with level N in (3+ 1) d as …

Symmetry-resolved entanglement entropy, spectra & boundary conformal field theory

Y Kusuki, S Murciano, H Ooguri, S Pal - Journal of High Energy Physics, 2023 - Springer
A bstract We perform a comprehensive analysis of the symmetry-resolved (SR)
entanglement entropy (EE) for one single interval in the ground state of a 1+ 1D conformal …

Boson-fermion duality with subsystem symmetry

W Cao, M Yamazaki, Y Zheng - Physical Review B, 2022 - APS
We explore an exact duality in (2+ 1) dimensions [(2+ 1) D] between the fermionization of a
bosonic theory with a Z 2 subsystem symmetry and a fermionic theory with a Z 2 subsystem …

Generalized tube algebras, symmetry-resolved partition functions, and twisted boundary states

Y Choi, BC Rayhaun, Y Zheng - arXiv preprint arXiv:2409.02159, 2024 - arxiv.org
We introduce a class of generalized tube algebras which describe how finite, non-invertible
global symmetries of bosonic 1+ 1d QFTs act on operators which sit at the intersection point …

Parity and Spin CFT with boundaries and defects

I Runkel, L Szegedy, GMT Watts - SciPost Physics, 2023 - scipost.org
This paper is a follow-up to [J. High Energy Phys. 06, 025 (2020)] in which two-dimensional
conformal field theories in the presence of spin structures are studied. In the present paper …

Fermionization and boundary states in 1+ 1 dimensions

Y Fukusumi, Y Tachikawa, Y Zheng - SciPost Physics, 2021 - scipost.org
In the last few years it was realized that every fermionic theory in 1+ 1 dimensions is a
generalized Jordan-Wigner transform of a bosonic theory with a non-anomalous $\mathbb …

Crosscap states in integrable field theories and spin chains

J Caetano, S Komatsu - Journal of Statistical Physics, 2022 - Springer
We study crosscap states in integrable field theories and spin chains in 1+ 1 dimensions. We
derive an exact formula for overlaps between the crosscap state and any excited state in …

Boundary conditions and anomalies of conformal field theories in dimensions

L Li, CT Hsieh, Y Yao, M Oshikawa - Physical Review B, 2024 - APS
We study a relationship between conformally invariant boundary conditions and anomalies
of conformal field theories (CFTs) in 1+ 1 dimensions. For a given CFT with a global …