Bicategories for boundary conditions and for surface defects in 3-d TFT
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Publication:2375936
DOI10.1007/s00220-013-1723-0zbMath1269.81169arXiv1203.4568OpenAlexW3098758746MaRDI QIDQ2375936
Jürgen Fuchs, Alessandro Valentino, Christoph Schweigert
Publication date: 25 June 2013
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1203.4568
Topological field theories in quantum mechanics (81T45) Eta-invariants, Chern-Simons invariants (58J28) Modular spaces (46A80)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Models for gapped boundaries and domain walls
- Fusion categories and homotopy theory
- Weakly group-theoretical and solvable fusion categories
- Monoidal 2-structure of bimodule categories
- Categorifications from planar diagrammatics
- Topological boundary conditions in abelian Chern-Simons theory
- The quantum double model with boundary: condensations and symmetries
- Duality and defects in rational conformal field theory
- Bi-branes: Target space geometry for world sheet topological defects
- On braided fusion categories. I
- Braided tensor categories
- On braiding and dyslexia
- Module categories, weak Hopf algebras and modular invariants
- On the boundary Ising model with disorder operators
- TFT construction of RCFT correlators. I: Partition functions
- On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories
- From subfactors to categories and topology. II: The quantum double of tensor categories and subfactors
- From subfactors to categories and topology. I: Frobenius algebras in and Morita equivalence of tensor categories
- On the structure of the Witt group of braided fusion categories
- Invariants of 3-manifolds via link polynomials and quantum groups
- On fusion categories.
- Correspondences of ribbon categories
- Field theories with defects and the centre functor
- Surface operators in 3d Topological Field Theory and 2d Rational Conformal Field Theory
- CLASSICALLY INTEGRABLE FIELD THEORIES WITH DEFECTS
- Introduction to bicategories
- The Witt group of non-degenerate braided fusion categories
- On 3-dimensional homotopy quantum field theory III: Comparison of two approaches
- Tensor Categories
- Topological defects for the free boson CFT
- Quantum invariants of knots and 3-manifolds
- Generalised twisted partition functions
- The monoidal center construction and bimodules