Symmetry TFTs for non-invertible defects
Given any symmetry acting on ad-dimensional quantum field theory, there is an associated
(d+ 1)-dimensional topological field theory known as the Symmetry TFT (SymTFT). The …
(d+ 1)-dimensional topological field theory known as the Symmetry TFT (SymTFT). The …
Fusion category symmetry. Part II. Categoriosities at c= 1 and beyond
A bstract We study generalized symmetries of quantum field theories in 1+ 1D generated by
topological defect lines with no inverse. This paper follows our companion paper on gapped …
topological defect lines with no inverse. This paper follows our companion paper on gapped …
Topological defect lines and renormalization group flows in two dimensions
A bstract We consider topological defect lines (TDLs) in two-dimensional conformal field
theories. Generalizing and encompassing both global symmetries and Verlinde lines, TDLs …
theories. Generalizing and encompassing both global symmetries and Verlinde lines, TDLs …
Quantum phases and transitions in spin chains with non-invertible symmetries
Generalized symmetries often appear in the form of emergent symmetries in low energy
effective descriptions of quantum many-body systems. Non-invertible symmetries are a …
effective descriptions of quantum many-body systems. Non-invertible symmetries are a …
Construction of two-dimensional topological field theories with non-invertible symmetries
A bstract We construct the defining data of two-dimensional topological field theories (TFTs)
enriched by non-invertible symmetries/topological defect lines. Simple formulae for the three …
enriched by non-invertible symmetries/topological defect lines. Simple formulae for the three …
Fusion surface models: 2+ 1d lattice models from fusion 2-categories
Abstract We construct (2+ 1)-dimensional lattice systems, which we call fusion surface
models. These models have finite non-invertible symmetries described by general fusion 2 …
models. These models have finite non-invertible symmetries described by general fusion 2 …
Symmetry as a shadow of topological order and a derivation of topological holographic principle
Symmetry is usually defined via transformations described by a (higher) group. But a
symmetry really corresponds to an algebra of local symmetric operators, which directly …
symmetry really corresponds to an algebra of local symmetric operators, which directly …
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 …
topological quantum field theories (TQFTs). When the symmetry of a bosonic TQFT is …
On lattice models of gapped phases with fusion category symmetries
K Inamura - Journal of High Energy Physics, 2022 - Springer
A bstract We construct topological quantum field theories (TQFTs) and commuting projector
Hamiltonians for any 1+ 1d gapped phases with non-anomalous fusion category …
Hamiltonians for any 1+ 1d gapped phases with non-anomalous fusion category …
Holographic theory for continuous phase transitions: Emergence and symmetry protection of gaplessness
Two global symmetries are holoequivalent if their algebras of local symmetric operators are
isomorphic. A holoequivalent class of global symmetries is described by a topological order …
isomorphic. A holoequivalent class of global symmetries is described by a topological order …