Fermion condensation and super pivotal categories

DOI10.1063/1.5045669zbMath1447.82013arXiv1709.01941OpenAlexW2997483200MaRDI QIDQ5218759

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Publication date: 5 March 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1709.01941

zbMATH Keywords

condensationfermiontopological phasepivotal category

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Statistical mechanics of solids (82D20) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Quadratic spaces; Clifford algebras (11E88) Fermionic systems in quantum theory (81V74) Bosonic systems in quantum theory (81V73)

Related Items (19)

Slightly Degenerate Categories and ℤ-Modular Data ⋮ Tetrahedral symmetry of \(6j\)-symbols in fusion categories ⋮ The low-energy TQFT of the generalized double semion model ⋮ Excitations in strict 2-group higher gauge models of topological phases ⋮ Fermionization of fusion category symmetries in 1+1 dimensions ⋮ Rationalizing CFTs and anyonic imprints on Higgs branches ⋮ A lattice model for condensation in Levin-Wen systems ⋮ Asymptotic density of states in 2d CFTs with non-invertible symmetries ⋮ \(\mathbb{Z}_N\) duality and parafermions revisited ⋮ Anomalies and bosonization ⋮ Fermionic projected entangled-pair states and topological phases ⋮ Anomalies in (2+1)D fermionic topological phases and (3+1)D path integral state sums for fermionic SPTs ⋮ \(U(1)\) spin Chern-Simons theory and Arf invariants in two dimensions ⋮ Gapped boundaries and string-like excitations in (3+1)d gauge models of topological phases ⋮ Symmetries and strings of adjoint \(\mathrm{QCD}_2\) ⋮ Domain walls in \(4d \) \(\mathcal{N} = 1\) SYM ⋮ Topological field theories and symmetry protected topological phases with fusion category symmetries ⋮ On 2-form gauge models of topological phases ⋮ Global anomalies on the Hilbert space

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