Open-closed strings: Two-dimensional extended TQFTs and Frobenius algebras

DOI10.1016/j.topol.2007.11.005zbMath1158.57038arXivmath/0510664OpenAlexW1997735808MaRDI QIDQ2426512

Publication date: 22 April 2008

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0510664

zbMATH Keywords

manifold with corners cobordism Frobenius algebra topological quantum field theory open-closed string

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) General low-dimensional topology (57M99) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Topological quantum field theories (aspects of differential topology) (57R56) Symmetric monoidal categories (19D23)

Related Items

Topological field theory with Haagerup symmetry, Topological field theories on open-closed \(r\)-spin surfaces, Quantum and braided ZX calculus*, Tannaka-Kreǐn reconstruction and a characterization of modular tensor categories, Universal operations in Hochschild homology, Differential models for B-type open-closed topological Landau-Ginzburg theories, On B-type open-closed Landau-Ginzburg theories defined on Calabi-Yau Stein manifolds, Tensors, !-graphs, and non-commutative quantum structures, On the structure of unoriented topological conformal field theories, Strands algebras and Ozsváth and Szabó's Kauffman-states functor, On the whistle cobordism operation in string topology of classifying spaces, Closed/open string diagrammatics, Differential antisymmetric infinitesimal bialgebras, coherent derivations and Poisson bialgebras, The trace field theory of a finite tensor category, A proposal for 3d quantum gravity and its bulk factorization, String topology in three flavors, Hochschild homology of structured algebras, Topological quantum field theories from Hecke algebras, One-dimensional topological theories with defects: the linear case, A geometric approach to boundaries and surface defects in Dijkgraaf-Witten theories, Open-closed modular operads, the cardy condition and string field theory, A modular functor from state sums for finite tensor categories and their bimodules, Bulk from boundary in finite CFT by means of pivotal module categories, Morita classes of algebras in modular tensor categories, Cardy condition for open-closed field algebras, Cardy algebras and sewing constraints. II, Moduli spaces of Klein surfaces and related operads, A note on the \((\infty,n)\)-category of cobordisms, Cardy algebras and sewing constraints. I, Categorical formulation of finite-dimensional quantum algebras, Cyclic foam topological field theories, Smooth functorial field theories from B-fields and D-branes, Entanglement branes, modular flow, and extended topological quantum field theory, Evaluating thin flat surfaces, Moduli stacks of algebraic structures and deformation theory, 3-dimensional defect TQFTs and their tricategories, An open-closed cobordism category with background space, Noncommutative aspects of open/closed strings via foliations, A detailed look on actions on Hochschild complexes especially the degree 1 coproduct and actions on loop spaces, Construction of two-dimensional topological field theories with non-invertible symmetries, Twin TQFTs and Frobenius algebras, A 2-categorical extension of the Reshetikhin-Turaev theory, Frobenius objects in the category of spans, Cardy algebras, sewing constraints and string-nets, Boundary conditions for topological quantum field theories, anomalies and projective modular functors, Orbifold completion of defect bicategories

Cites Work