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Modularity of logarithmic parafermion vertex algebras (Q1630336)

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Language	Label	Description	Also known as
English	Modularity of logarithmic parafermion vertex algebras	scientific article

Statements

scholarly article

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Modularity of logarithmic parafermion vertex algebras (English)

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Thomas Creutzig

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Letters in Mathematical Physics

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publication date

10 December 2018

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full work available at URL

https://arxiv.org/abs/1704.05168

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zbMATH Keywords

vertex algebras

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conformal field theory

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modular transformations

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parafermions

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coset constructions

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MaRDI profile type

MaRDI publication profile

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Logarithmic operators in conformal field theory

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Relating the archetypes of logarithmic conformal field theory

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Symplectic fermions

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A local logarithmic conformal field theory

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Bosonic ghosts at \(c=2\) as a logarithmic CFT

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Fusion rules and logarithmic representations of a WZW model at fractional level

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Logarithmic lift of the \(\widehat{\text{su}}(2)_{-1/2}\) model

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Fusion in fractional level \(\widehat{\mathfrak sl}(2)\)-theories with \(k=-\frac{1}{2}\)

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Modular invariance of characters of vertex operator algebras

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

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RIGIDITY AND MODULARITY OF VERTEX TENSOR CATEGORIES

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

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A \(\mathbb{Z}_{2}\)-orbifold model of the symplectic fermionic vertex operator superalgebra

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The \(N = 1\) triplet vertex operator superalgebras

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Generalized vertex algebras and relative vertex operators

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On \(C_{2}\)-cofiniteness of parafermion vertex operator algebras

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Zhu's algebra, \(C_2\)-algebra and \(C_2\)-cofiniteness of parafermion vertex operator algebras

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Representations of the parafermion vertex operator algebras

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

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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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Relaxed singular vectors, Jack symmetric functions and fractional level \(\widehat{\mathfrak{sl}}(2)\) models

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W-algebras for Argyres-Douglas theories

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Graded parafermions

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Characters of graded parafermion conformal field theory

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An admissible level \(\widehat{\mathfrak{osp}}(1| 2)\)-model: modular transformations and the Verlinde formula

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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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Braided tensor categories of admissible modules for affine Lie algebras

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ON ABELIAN COSET GENERALIZED VERTEX ALGEBRAS

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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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Logarithmic conformal field theory: beyond an introduction

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

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\(\hat{\mathfrak sl}(2)_{-1/2}\) and the triplet model

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Modular invariance of vertex operator algebras satisfying \(C_2\)-cofiniteness

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Vertex operator algebras associated to admissible representations of \(\hat sl_ 2\)

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Modular invariant representations of infinite-dimensional Lie algebras and superalgebras

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\(\hat{\mathfrak sl}(2)_{-\frac{1}{2}}\): a case study

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Non-Abelian bosonization in two dimensions

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

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FUSION IN CONFORMAL FIELD THEORY AS THE TENSOR PRODUCT OF THE SYMMETRY ALGEBRA

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Branes in the \(\text{GL}(1| 1)\) WZNW model

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

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False theta functions and the Verlinde formula

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Modular transformations and Verlinde formulae for logarithmic (\(p_+,p_-\))-models

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Some applications and constructions of intertwining operators in Logarithmic Conformal Field 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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\(W_n^{(n)}\) algebras

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Orbifolds and cosets of minimal \({\mathcal{W}}\)-algebras

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Logarithmic superconformal minimal models

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Fusion rules for the logarithmic<i>N</i>= 1 superconformal minimal models: I. The Neveu–Schwarz sector

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Fusion rules for the logarithmic \(N\)=1 superconformal minimal models. II: Including the Ramond sector

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The \(N=1\) triplet vertex operator superalgebras: twisted sector

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

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Symmetric invariant bilinear forms on vertex operator algebras

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\(C_2\)-cofiniteness of cyclic-orbifold models

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Identifiers

zbMATH Open document ID

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10.1007/s11005-018-1098-4

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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:1630336

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