Tensor categories of weight modules of \(\widehat{\mathfrak{sl}}_2\) at admissible level
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Publication:6658767
DOI10.1112/jlms.70037MaRDI QIDQ6658767
Publication date: 8 January 2025
Published in: Journal of the London Mathematical Society. Second Series (Search for Journal in Brave)
Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional Lie (super)algebras (17B65)
Cites Work
- Fusion in the entwined category of Yetter-Drinfeld modules of a rank-1 Nichols algebra
- Coset constructions of logarithmic \((1, p)\) models
- \(W_n^{(n)}\) algebras
- Relaxed singular vectors, Jack symmetric functions and fractional level \(\widehat{\mathfrak{sl}}(2)\) models
- Cofiniteness conditions, projective covers and the logarithmic tensor product theory
- Virasoro algebras and coset space models
- Vertex operator algebras associated to representations of affine and Virasoro algebras
- Some finiteness properties of regular vertex operator algebras
- On the structure of Verma modules over Virasoro and Neveu-Schwarz algebras
- Braided tensor categories of admissible modules for affine Lie algebras
- Cosets, characters and fusion for admissible-level \(\mathfrak{osp}(1 | 2)\) minimal models
- Realizations of simple affine vertex algebras and their modules: the cases \({\widehat{sl(2)}}\) and \({\widehat{osp(1,2)}}\)
- Logarithmic link invariants of \(\overline{U}_q^H(\mathfrak{sl}_2)\) and asymptotic dimensions of singlet vertex algebras
- Vertex operator algebras associated to modular invariant representations for \(A_ 1^{(1)}\)
- Modular data and Verlinde formulae for fractional level WZW models I
- Tensor categories of affine Lie algebras beyond admissible levels
- Kazama-Suzuki coset construction and its inverse
- Gluing vertex algebras
- Bosonic ghostbusting: the bosonic ghost vertex algebra admits a logarithmic module category with rigid fusion
- Trialities of \(\mathcal{W} \)-algebras
- Correspondences of categories for subregular \(\mathcal{W}\)-algebras and principal \(\mathcal{W}\)-superalgebras
- Tensor categories arising from the Virasoro algebra
- On ribbon categories for singlet vertex algebras
- Schur-Weyl duality for Heisenberg cosets
- Unitary and non-unitary \(N=2\) minimal models
- \(W\)-algebras as coset vertex algebras
- Braided tensor categories and extensions of vertex operator algebras
- Representation theory of \(\mathcal{W}\)-algebras
- Relaxed highest-weight modules. I: Rank 1 cases
- Modular data and Verlinde formulae for fractional level WZW models. II
- Ribbon tensor structure on the full representation categories of the singlet vertex algebras
- The tensor structure on the representation category of the $\mathcal {W}_p$ triplet algebra
- Logarithmic $\widehat{s\ell }(2)$ CFT models from Nichols algebras: I
- THE NICHOLS ALGEBRA OF SCREENINGS
- Tensor Structures Arising from Affine Lie Algebras. I
- QUANTUM GROUPS AT ROOTS OF UNITY AND MODULARITY
- RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES
- Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
- Tensor Structures Arising from Affine Lie Algebras. III
- Equivalence between chain categories of representations of affine sl(2) and N=2 superconformal algebras
- Direct limit completions of vertex tensor categories
- Tensor Structure on the Kazhdan–Lusztig Category for Affine 𝔤𝔩(1|1)
- Simple current extensions beyond semi-simplicity
- Quantum Langlands duality of representations of -algebras
- C 1-Cofiniteness and Fusion Products for Vertex Operator Algebras
- On axiomatic approaches to vertex operator algebras and modules
- Urod algebras and Translation of W-algebras
- Rigid tensor structure on big module categories for some \(W\)-(super)algebras in type \(A\)
- Tensor Categories for Vertex Operator Superalgebra Extensions
- Tensor category \(\mathrm{KL}_k (\mathfrak{sl}_{2n})\) via minimal affine \(W\)-algebras at the non-admissible level \(k = - \frac{2n + 1}{2}\)
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