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Gluing vertex algebras (Q2071645)

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Language	Label	Description	Also known as
English	Gluing vertex algebras	scientific article

Statements

scholarly article

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Gluing vertex algebras (English)

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Thomas Creutzig

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Shashank Kanade

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Advances in Mathematics

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publication date

28 January 2022

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full work available at URL

https://arxiv.org/abs/1906.00119

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zbMATH Keywords

vertex operator algebras

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tensor categories

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commutative algebra objects

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braid-reversed equivalences

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coset conformal field theory

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Kazhdan-Lusztig categories

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MaRDI profile type

MaRDI publication profile

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Rationality, regularity, and 𝐶₂-cofiniteness

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Fusion rules for the vertex operator algebras \(M(1)^+\) and \(V_L^+\)

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Quantum $q$-Langlands Correspondence

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

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

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\(W\)-algebras as coset vertex algebras

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On infinite order simple current extensions of vertex operator algebras

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Chiral differential operators: formal loop group actions and associated modules

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Fusion categories for affine vertex algebras at admissible levels

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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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Vertex algebras for S-duality

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

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S-duality for the large \(N = 4\) superconformal algebra

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A quasi-Hopf algebra for the triplet vertex operator algebra

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Braided tensor categories of admissible modules for affine Lie algebras

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Simple current extensions beyond semi-simplicity

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Schur-Weyl duality for Heisenberg cosets

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

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The Witt group of non-degenerate braided fusion categories

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Quantum dimensions and quantum Galois theory

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Tensor Categories

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On fusion categories.

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Correspondences of ribbon categories

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On axiomatic approaches to vertex operator algebras and modules

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Modified regular representations of affine and Virasoro algebras, VOA structure and semi-infinite cohomology

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Vertex operator algebras associated to representations of affine and Virasoro algebras

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Vertex algebras associated to modified regular representations of the Virasoro algebra

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Virasoro algebras and coset space models

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Gerbes of chiral differential operators

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On chiral differential operators over homogeneous spaces

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A theory of tensor products for module categories for a vertex operator algebra. IV

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RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES

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Braided tensor categories and extensions of vertex operator algebras

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Full field algebras

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A theory of tensor products for module categories for a vertex operator algebra. I

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A theory of tensor products for module categories for a vertex operator algebra. II

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A theory of tensor products for module categories for a vertex operator algebra. III

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Tensor categories and the mathematics of rational and logarithmic 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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Tensor Structures Arising from Affine Lie Algebras. I

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Tensor Structures Arising from Affine Lie Algebras. III

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Tensor Structures Arising from Affine Lie Algebras. IV

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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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Full field algebras, operads and tensor categories

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Introduction to vertex operator algebras and their representations

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Symmetric invariant bilinear forms on vertex operator algebras

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REGULAR REPRESENTATIONS OF VERTEX OPERATOR ALGEBRAS

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Mirror extensions of rational vertex operator algebras

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Quantum groups at roots of 1

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On the tensor structure of modules for compact orbifold vertex operator algebras

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From subfactors to categories and topology. II: The quantum double of tensor categories and subfactors

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Quantum invariants of knots and 3-manifolds

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Vertex tensor category structure on a category of Kazhdan-Lusztig

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Vertex operator algebras associated to modified regular representations of affine Lie algebras

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Identifiers

zbMATH Open document ID

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10.1016/j.aim.2021.108174

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2071645

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