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Representations of the parafermion vertex operator algebras (Q2362587)

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Language	Label	Description	Also known as
English	Representations of the parafermion vertex operator algebras	scientific article

Statements

scholarly article

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Representations of the parafermion vertex operator algebras (English)

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Advances in Mathematics

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publication date

10 July 2017

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full work available at URL

https://arxiv.org/abs/1411.6085

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zbMATH Keywords

vertex operator algebras

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affine Kac-Moody algebras

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MaRDI profile type

MaRDI publication profile

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The irreducible modules and fusion rules for the 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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Singular Vectors and Zhu’s Poisson Algebra of Parafermion Vertex Operator Algebras

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COSET REALIZATION OF UNIFYING ${\mathcal W}$ ALGEBRAS

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Vertex algebras, Kac-Moody algebras, and the Monster

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Vertex algebras associated with even lattices

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Bimodules associated to vertex operator algebras

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Generalized vertex algebras and relative vertex operators

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On quantum Galois theory

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\(W\)-algebras related to parafermion algebras

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The structure of parafermion vertex operator algebras

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Regularity of rational vertex operator algebras

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Twisted representations of vertex operator algebras

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The structure of parafermion vertex operator algebras: general case

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

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Parafermion vertex operator algebras

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Quantum dimensions and fusion rules for parafermion vertex operator algebras

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Vertex operator algebras associated to representations of affine and Virasoro algebras

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Unitary representations of the Virasoro and super-Virasoro algebras

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\(W\)-algebras with set of primary fields of dimensions \((3,4,5)\) and \((3,4,5,6)\).

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The commutant of \(L_{\widehat{\mathfrak{sl}}_2}(n, 0)\) in the vertex operator algebra \(L_{\widehat{\mathfrak{sl}}_2}(1, 0)^{\otimes n}\)

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Tensor decomposition, parafermions, level-rank duality, and reciprocity law for vertex operator algebras

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A modular invariance property of multivariable trace functions for regular vertex operator algebras

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On a class of vertex operator algebras having a faithful \(S_{n+1}\)-action

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Introduction to vertex operator algebras and their representations

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The structure of standard modules. I: Universal algebras and the Rogers- Ramanujan identities

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Local systems of vertex operators, vertex superalgebras and modules

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The physics superselection principle in vertex operator algebra theory

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Certain extensions of vertex operator algebras of affine type

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

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Modular invariance of characters of vertex operator algebras

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Identifiers

zbMATH Open document ID

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10.1016/j.aim.2017.05.016

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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:2362587

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