Coset vertex operator algebras and \(\mathcal W\)-algebras of \(A\)-type
type: Item
instance of: scholarly article
title: Coset vertex operator algebras and \(\mathcal W\)-algebras of \(A\)-type
zbMATH Open document ID: 1417.17028
author: Tomoyuki Arakawa
author: Cuipo Jiang
published in: Science China. Mathematics
publication date: 2018-03-16T00:00:00Z
Mathematics Subject Classification ID: 17B69
zbMATH DE Number: 6851065
zbMATH Keywords: \(\mathcal W\)-algebra
zbMATH Keywords: coset vertex operator algebra
zbMATH Keywords: rationality
MaRDI profile type: Publication
full work available at URL: s11425-017-9161-7
OpenAlex ID: W2767750243
cites work: Rationality, regularity, and 𝐶₂-cofiniteness
cites work: The vertex algebra \(M(1)^{+}\) and certain affine vertex algebras of level \(-1\)
cites work: Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture
cites work: Representation theory of \(\mathcal{W}\)-algebras
cites work: Rationality of Bershadsky-Polyakov vertex algebras
cites work: Associated Varieties of Modules Over Kac-Moody Algebras and C2-Cofiniteness of W-Algebras
cites work: Rationality of \(W\)-algebras: principal nilpotent cases
cites work: Zhu's algebra, \(C_2\)-algebra and \(C_2\)-cofiniteness of parafermion vertex operator algebras
cites work: Singular Vectors and Zhu’s Poisson Algebra of Parafermion Vertex Operator Algebras
cites work: Explicit generators in rectangular affine \(\mathcal {W}\)-algebras of type \(A\)
cites work: Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants
cites work: Coset construction for extended Virasoro algebras
cites work: Q4011451
cites work: Hidden SL(n) symmetry in conformal field theories
cites work: Coset realization of unifying \(\mathcal W\) algebras.
cites work: Vertex algebras, Kac-Moody algebras, and the Monster
cites work: Parafermion Hall states from coset projections of abelian conformal theories
cites work: Extension of the Tensor Product of Unitary Virasoro Vertex Operator Algebra
cites work: A class of \({\mathcal W}\)-algebras with infinitely generated classical limit
cites work: The relation between quantum \(W\) algebras and Lie algebras
cites work: A characterization of vertex operator algebra \({L(\frac{1}{2},0)\otimes L(\frac{1}{2},0)}\)
cites work: \(\mathbb Z_3\) symmetry and \(W_3\) algebra in lattice vertex operator algebras.
cites work: The structure of parafermion vertex operator algebras
cites work: \(W\)-algebras related to parafermion algebras
cites work: Twisted representations of vertex operator algebras
cites work: The structure of parafermion vertex operator algebras: general case
cites work: On \(C_{2}\)-cofiniteness of parafermion vertex operator algebras
cites work: On classification of rational vertex operator algebras with central charges less than 1
cites work: Representations of affine Kac-Moody algebras, bosonization and resolutions
cites work: Quantization of the Drinfel'd-Sokolov reduction.
cites work: Q4006893
cites work: AFFINE KAC-MOODY ALGEBRAS AT THE CRITICAL LEVEL AND GELFAND-DIKII ALGEBRAS
cites work: Q3092031
cites work: Q4830310
cites work: Characters and fusion rules for \(W\)-algebras via quantized Drinfeld- Sokolov reduction
cites work: On axiomatic approaches to vertex operator algebras and modules
cites work: Q3994993
cites work: Vertex operator algebras associated to representations of affine and Virasoro algebras
cites work: Unitary representations of the Virasoro and super-Virasoro algebras
cites work: The commutant of \(L_{\widehat{\mathfrak{sl}}_2}(n, 0)\) in the vertex operator algebra \(L_{\widehat{\mathfrak{sl}}_2}(1, 0)^{\otimes n}\)
cites work: Q4040877
cites work: Q3820760
cites work: Quantum reduction for affine superalgebras
cites work: Q4011439
cites work: Branching functions for winding subalgebras and tensor products
cites work: Quantum reduction and representation theory of superconformal algebras
cites work: On rationality of \(W\)-algebras
cites work: A level-rank duality for parafermion vertex operator algebras of type A
cites work: On a class of vertex operator algebras having a faithful \(S_{n+1}\)-action
cites work: Decomposition of the lattice vertex operator algebra \(V_{\sqrt{2}A_l}\).
cites work: Introduction to vertex operator algebras and their representations
cites work: Poisson manifolds and the Schouten bracket
cites work: Q4277369
cites work: Modular invariance of characters of vertex operator algebras
DOI: 10.1007/S11425-017-9161-7
description: scientific article; zbMATH DE number 6851065