The evaluation of graphs on surfaces for state-sum models with defects

DOI10.3842/sigma.2024.102MaRDI QIDQ6657479

Christoph Schweigert, Julian Farnsteiner

Publication date: 6 January 2025

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

zbMATH Keywords

defectstopological quantum field theory\(6j\) symbolsstate-sumvertex evaluation

Mathematics Subject Classification ID

Topological field theories in quantum mechanics (81T45) Fusion categories, modular tensor categories, modular functors (18M20) String diagrams and graphical calculi (18M30)

Cites Work

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• Traces on module categories over fusion categories
• Fusion categories and homotopy theory
• Topological conformal field theories and Calabi-Yau categories
• Spherical categories
• Domain walls between 3d phases of Reshetikhin-Turaev TQFTs
• 3-dimensional defect TQFTs and their tricategories
• The balanced tensor product of module categories
• Monoidal categories and topological field theory
• A trace for bimodule categories
• On the Brauer groups of symmetries of abelian Dijkgraaf-Witten theories
• Orbifolds of \(n\)-dimensional defect TQFTs
• Field theories with defects and the centre functor
• Surface operators in 3d Topological Field Theory and 2d Rational Conformal Field Theory
• Dualizable tensor categories
• A modular functor from state sums for finite tensor categories and their bimodules
• Eilenberg-Watts calculus for finite categories and a bimodule Radford 𝑆⁴ theorem
• Tensor Categories
• State sum models with defects based on spherical fusion categories
• Gray categories with duals and their diagrams

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