Fusion categories for affine vertex algebras at admissible levels (Q1740435)

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Language	Label	Description	Also known as
English	Fusion categories for affine vertex algebras at admissible levels	scientific article

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scholarly article

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Fusion categories for affine vertex algebras at admissible levels (English)

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Thomas Creutzig

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Selecta Mathematica. New Series

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publication date

30 April 2019

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full work available at URL

https://arxiv.org/abs/1807.00415

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MaRDI profile type

MaRDI publication profile

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RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES

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VERTEX OPERATOR ALGEBRAS AND THE VERLINDE CONJECTURE

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Fusion rules and modular transformations in 2D conformal field theory

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Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I: Introduction and Strongly Graded Algebras and Their Generalized Modules

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Braided tensor categories of admissible modules for affine Lie algebras

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Rationality of admissible affine vertex algebras in the category \(\mathcal O\)

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Cosets of Bershadsky-Polyakov algebras and rational \({\mathcal W}\)-algebras of type \(A\)

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Gluing vertex algebras

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Correspondences of ribbon categories

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On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories

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Braided tensor categories and extensions of vertex operator algebras

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Rationality of \(W\)-algebras: principal nilpotent cases

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Quantum $q$-Langlands Correspondence

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Representation theory of $L_k(\mathfrak {osp}(1 \vert 2))$ from vertex tensor categories and Jacobi forms

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Cosets, characters and fusion for admissible-level \(\mathfrak{osp}(1 | 2)\) minimal models

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Tensor Categories

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Quantum invariants of knots and 3-manifolds

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Quasi-lisse vertex algebras and modular linear differential equations

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Logarithmic conformal field theory, log-modular tensor categories and modular forms

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The non-semisimple Verlinde formula and pseudo-trace functions

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Modular data and Verlinde formulae for fractional level WZW models I

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Modular data and Verlinde formulae for fractional level WZW models. II

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Characters and fusion rules for \(W\)-algebras via quantized Drinfeld- Sokolov reduction

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Modularity of relatively rational vertex algebras and fusion rules of principal affine \(W\)-algebras

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Quantization of the Drinfel'd-Sokolov reduction.

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Cosets of the 𝒲^{𝓀}(𝔰𝔩₄,𝔣_{𝔰𝔲𝔟𝔯𝔢𝔤})-algebra

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Parafermion vertex operator algebras and $W$-algebras

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Vertex algebras for S-duality

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Modular invariant representations of infinite-dimensional Lie algebras and superalgebras

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Introduction to \(W\)-algebras and their representation theory

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Representation theory of \(\mathcal{W}\)-algebras

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Associated Varieties of Modules Over Kac-Moody Algebras and C2-Cofiniteness of W-Algebras

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Identifiers

zbMATH Open document ID

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10.1007/s00029-019-0479-6

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Mathematics Subject Classification ID

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zbMATH DE Number

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Mathematics(1 entry)

mardi Publication:1740435

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