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Modularity of Bershadsky-Polyakov minimal models (Q2670694)

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Language	Label	Description	Also known as
English	Modularity of Bershadsky-Polyakov minimal models	scientific article

Statements

scholarly article

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Modularity of Bershadsky-Polyakov minimal models (English)

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Letters in Mathematical Physics

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publication date

1 June 2022

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full work available at URL

https://arxiv.org/abs/2110.10336

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zbMATH Keywords

vertex operator algebras

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W-algebras

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relaxed highest-weight modules

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modular transformations

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fusion rules

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MaRDI profile type

MaRDI publication profile

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Classifying relaxed highest-weight modules for admissible-level Bershadsky-Polyakov algebras

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Conformal field theories via Hamiltonian reduction

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Quantum reduction for affine superalgebras

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Rationality of Bershadsky-Polyakov vertex algebras

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

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

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Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture

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Logarithmic conformal field theory: beyond an introduction

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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 I

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

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

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

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Boundary algebras and Kac modules for logarithmic minimal models

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

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Nonsemisimple fusion algebras and the Verlinde formula

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Virasoro representations and fusion for general augmented minimal models

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From boundary to bulk in logarithmic CFT

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Logarithmic \(M(2,p)\) minimal models, their logarithmic couplings, and duality

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Fusion rules of the {\cal W}_{p,q} triplet models

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

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

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On fusion rules and intertwining operators for the Weyl vertex algebra

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Bosonic ghostbusting: the bosonic ghost vertex algebra admits a logarithmic module category with rigid fusion

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Takiff superalgebras and conformal field theory

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

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Relaxed highest-weight modules. I: Rank 1 cases

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Realizations of simple affine vertex algebras and their modules: the cases \({\widehat{sl(2)}}\) and \({\widehat{osp(1,2)}}\)

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A realisation of the Bershadsky-Polyakov algebras and their relaxed modules

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

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On simplicity of vacuum modules

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Representations of a class of lattice type vertex algebras

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

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

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Modular invariance of characters of vertex operator algebras

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Fusion rules and modular transformations in 2D conformal field theory

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Vertex operator algebras, the Verlinde conjecture, and modular tensor categories

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VERTEX OPERATOR ALGEBRAS AND THE VERLINDE CONJECTURE

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Classification of irreducible modules for Bershadsky–Polyakov algebra at certain levels

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Gluing vertex algebras

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

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Schur-Weyl duality for Heisenberg cosets

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Branching functions for winding subalgebras and tensor products

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Conformal field theory

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Vertex operator algebras associated to representations of affine and Virasoro algebras

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S11005-022-01536-Z

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Sitelinks

Mathematics(1 entry)

mardi Publication:2670694

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