Orbifolds and topological defects

DOI10.1007/s00220-014-2056-3zbMath1300.81070arXiv1307.3141OpenAlexW3098270462MaRDI QIDQ466034

Ilka Brunner, Nils Carqueville, Daniel Plencner

Publication date: 24 October 2014

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

Full work available at URL: https://arxiv.org/abs/1307.3141

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Topological field theories in quantum mechanics (81T45) Topological quantum field theories (aspects of differential topology) (57R56) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Topology and geometry of orbifolds (57R18)

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Topological field theories on open-closed \(r\)-spin surfaces, Non-supersymmetric asymmetric orbifolds with vanishing cosmological constant, Matrix factorisations for rational boundary conditions by defect fusion, Non-geometric backgrounds based on topological interfaces, Orbifold equivalence: structure and new examples, Realizing IR theories by projections in the UV, Fermionization of fusion category symmetries in 1+1 dimensions, Asymptotic density of states in 2d CFTs with non-invertible symmetries, Orbifolds by 2-groups and decomposition, Non-invertible duality defect and non-commutative fusion algebra, Fully extended \(r\)-spin TQFTs, A fresh view on string orbifolds, Spin from defects in two-dimensional quantum field theory, On finite symmetries and their gauging in two dimensions, Discrete torsion defects, D-brane central charge and Landau-Ginzburg orbifolds, Fusion of interfaces in Landau-Ginzburg models: a functorial approach, Topological field theories and symmetry protected topological phases with fusion category symmetries, On lattice models of gapped phases with fusion category symmetries, State sum construction of two-dimensional topological quantum field theories on spin surfaces, Orbifold completion of defect bicategories

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