Constructing non-semisimple modular categories with local modules
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Publication:6076990
DOI10.1007/s00220-023-04824-4zbMath1527.18017arXiv2202.08644OpenAlexW4385999433MaRDI QIDQ6076990
Robert Laugwitz, Chelsea Walton
Publication date: 17 October 2023
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.08644
Monoidal categories, symmetric monoidal categories (18M05) Braided monoidal categories and ribbon categories (18M15)
Cites Work
- On Lagrangian algebras in group-theoretical braided fusion categories
- A necessary and sufficient condition for a finite-dimensional Drinfel'd double to be a ribbon Hopf algebra
- TFT construction of RCFT correlators. III: Simple currents
- Anyon condensation and tensor categories
- Classical and quantum conformal field theory
- Modular invariants for group-theoretical modular data. I
- On braided fusion categories. I
- Finite Hopf algebras in braided tensor categories
- Tortile tensor categories
- On braiding and dyslexia
- Crossed modules and quantum groups in braided categories
- Subfactor realisation of modular invariants
- Factorizable \(R\)-matrices for small quantum groups
- 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
- On \(\alpha\)-induction, chiral generators and modular invariants for subfactors
- Chiral structure of modular invariants for subfactors
- Braided commutative algebras over quantized enveloping algebras
- Homotopy coherent mapping class group actions and excision for Hochschild complexes of modular categories
- 3-dimensional TQFTs from non-semisimple modular categories
- Quantum groups and Nichols algebras acting on conformal field theories
- Non-degeneracy conditions for braided finite tensor categories
- The balanced tensor product of module categories
- Braided tensor categories and extensions of vertex operator algebras
- Monoidal categories and topological field theory
- Bicategories for boundary conditions and for surface defects in 3-d TFT
- Modular data: the algebraic combinatorics of conformal field theory
- \(N=2\) minimal conformal field theories and matrix bifactorisations of \(x^d\)
- Correspondences of ribbon categories
- Log-modular quantum groups at even roots of unity and the quantum Frobenius I
- Non semi-simple TQFTs from unrolled quantum $sl(2)$
- Hopf Algebras
- Exact Sequences of Tensor Categories
- On Frobenius algebras in rigid monoidal categories
- Symmetry for Finite Dimensional Hopf Algebras
- On yetter-drinfeld categories andH-commutativity
- Double-bosonization of braided groups and the construction of Uq(g)
- MODULAR CATEGORIES AND 3-MANIFOLD INVARIANTS
- Logarithmic conformal field theories of type B n, ℓ = 4 and symplectic fermions
- The Witt group of non-degenerate braided fusion categories
- Dualizable tensor categories
- Constructing Non-Semisimple Modular Categories With Relative Monoidal Centers
- A modular functor from state sums for finite tensor categories and their bimodules
- Hochschild Cohomology, Modular Tensor Categories, and Mapping Class Groups I
- A quasi-Hopf algebra for the triplet vertex operator algebra
- The relative monoidal center and tensor products of monoidal categories
- Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I: Introduction and Strongly Graded Algebras and Their Generalized Modules
- Tensor Categories
- Vertex operator algebras, the Verlinde conjecture, and modular tensor categories
- Comodule algebras and 2-cocycles over the (Braided) Drinfeld double
- Correction to: Kerler–Lyubashenko Functors on 4-Dimensional 2-Handlebodies
- Introduction to quantum groups
- Longo-Rehren subfactors arising from \(\alpha\)-induction.
- The monoidal center construction and bimodules
- Multi-interval subfactors and modularity of representations in conformal field theory
- Non-semisimple topological quantum field theories for 3-manifolds with corners
- The indecomposable objects in the center of Deligne's category Re̲pSt$\protect\underline{{\rm Re}}\!\operatorname{p}S_t$
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- Unnamed Item
- Unnamed Item