On ribbon categories for singlet vertex algebras (Q2231661)

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scientific article; zbMATH DE number 7404766

Language	Label	Description	Also known as
English	On ribbon categories for singlet vertex algebras	scientific article; zbMATH DE number 7404766

Statements

scholarly article

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On ribbon categories for singlet vertex algebras (English)

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Thomas Creutzig

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Communications in Mathematical Physics

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publication date

30 September 2021

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full work available at URL

https://arxiv.org/abs/2007.12735

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MaRDI profile type

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Classification of irreducible modules of certain subalgebras of free boson vertex algebra.

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A construction of admissible \(A_1^{(1)}\)-modules of level \(-\frac{4}{3}\)

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The vertex algebras \(\mathcal{R}^{(p)}\) and \(\mathcal{V}^{(p)}\)

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Vertex operator algebras associated to modular invariant representations for \(A_ 1^{(1)}\)

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Logarithmic intertwining operators and W(2,2p−1) algebras

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On the triplet vertex algebra \(\mathcal W(p)\)

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Lattice construction of logarithmic modules for certain vertex algebras

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Some applications and constructions of intertwining operators in Logarithmic Conformal Field Theory

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On parafermion vertex algebras of 𝔰𝔩(2) and 𝔰𝔩(3) at level −3 2

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Braided tensor categories related to \(\mathcal{B}_p\) vertex algebras

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Infinite conformal symmetry in two-dimensional quantum field theory

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Quantum modular forms and plumbing graphs of 3-manifolds

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On the superconformal index of Argyres–Douglas theories

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Nonmeromorphic operator product expansion and<i>C</i><sub>2</sub>-cofiniteness for a family of -algebras

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Schur indices, BPS particles, and Argyres-Douglas theories

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Quantum invariants of 3-manifolds via link surgery presentations and non-semi-simple categories

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Some remarks on the unrolled quantum group of \(\mathfrak{sl}(2)\)

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W-algebras for Argyres-Douglas theories

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Logarithmic W-algebras and Argyres-Douglas theories at higher rank

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Fusion categories for affine vertex algebras at admissible levels

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

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A quasi-Hopf algebra for the triplet vertex operator algebra

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Duality of subregular \(\mathcal{W} \)-algebras and principal \(\mathcal{W} \)-superalgebras

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Braided tensor categories of admissible modules for affine Lie algebras

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Tensor categories arising from the Virasoro algebra

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Schur-Weyl duality for Heisenberg cosets

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False theta functions and the Verlinde formula

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Higher rank partial and false theta functions and representation theory

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Logarithmic link invariants of \(\overline{U}_q^H(\mathfrak{sl}_2)\) and asymptotic dimensions of singlet vertex algebras

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Relating the archetypes of logarithmic conformal field theory

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

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Coset constructions of logarithmic \((1, p)\) models

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Uprolling unrolled quantum groups

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Tensor categories of affine Lie algebras beyond admissible levels

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Non-semisimple extended topological quantum field theories

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Nonsemisimple quantum invariants and TQFTs from small and unrolled quantum groups

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Generalized vertex algebras and relative vertex operators

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Modular group representations and fusion in logarithmic conformal field theories and in the quantum group center

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Logarithmic extensions of minimal models: characters and modular transformations

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Logarithmic conformal field theories of type <i>B</i> <i>n</i>, <i>ℓ</i> = 4 and symplectic fermions

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On axiomatic approaches to vertex operator algebras and modules

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Nonsemisimple fusion algebras and the Verlinde formula

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BPS spectra and 3-manifold invariants

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Virasoro vertex operator algebras, the (nonmeromomorphic) operator product expansion and the tensor product theory

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VERTEX OPERATOR ALGEBRAS AND THE VERLINDE CONJECTURE

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RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES

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Cofiniteness conditions, projective covers and the logarithmic tensor product theory

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Braided tensor categories and extensions of vertex operator algebras

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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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Modular categories and orbifold models

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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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Indecomposable decomposition of tensor products of modules over the restricted quantum universal enveloping algebra associated to \(\mathfrak{sl}_2\)

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Quantum groups and Nichols algebras acting on conformal field theories

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Symmetric invariant bilinear forms on vertex operator algebras

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The physics superselection principle in vertex operator algebra theory

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

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C 1-Cofiniteness and Fusion Products for Vertex Operator Algebras

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Higher rank \(\hat{Z}\) and \(F_K\)

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On the Feigin-Tipunin conjecture

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The tensor structure on the representation category of the \(\mathcal {W}_p\) triplet algebra

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Fusion rules and modular transformations in 2D conformal field theory

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00220-021-04097-9

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Sitelinks

Mathematics(1 entry)

mardi Publication:2231661

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