Classifying relaxed highest-weight modules for admissible-level Bershadsky-Polyakov algebras (Q2035934)

scientific article

Language	Label	Description	Also known as
English	Classifying relaxed highest-weight modules for admissible-level Bershadsky-Polyakov algebras	scientific article

Statements

instance of

scholarly article

0 references

title

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

0 references

0 references

0 references

0 references

Communications in Mathematical Physics

0 references

publication date

2 July 2021

0 references

full work available at URL

https://arxiv.org/abs/2007.03917

0 references

zbMATH Keywords

Bershadsky-Polyakov algebras

0 references

minimal quantum Hamiltonian reductions of affine vertex algebras

0 references

simple relaxed highest-weight modules

0 references

nonintegral levels

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

Rationality of Bershadsky-Polyakov vertex algebras

0 references

Q3973453

0 references

Conformal field theories via Hamiltonian reduction

0 references

Quantum reduction for affine superalgebras

0 references

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

0 references

Quantum reduction and representation theory of superconformal algebras

0 references

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

0 references

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

0 references

Equivalence between chain categories of representations of affine sl(2) and N=2 superconformal algebras

0 references

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

0 references

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

0 references

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

0 references

Modular data and Verlinde formulae for fractional level WZW models I

0 references

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

0 references

Modularity of logarithmic parafermion vertex algebras

0 references

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

0 references

Relaxed highest-weight modules. I: Rank 1 cases

0 references

Weight representations of admissible affine vertex algebras

0 references

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

0 references

Admissible level \(\mathfrak{osp}(1|2)\) minimal models and their relaxed highest weight modules

0 references

Cosets, characters and fusion for admissible-level \(\mathfrak{osp}(1 | 2)\) minimal models

0 references

Positive energy representations of affine vertex algebras

0 references

A realization of certain modules for the \(N = 4\) superconformal algebra and the affine Lie algebra \(a_{2}^{(1)}\)

0 references

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

0 references

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

0 references

Classification of irreducible weight modules

0 references

Logarithmic conformal field theory: beyond an introduction

0 references

A Class of Algebras Similar to the Enveloping Algebra of sl(2)

0 references

Modular invariant representations of infinite-dimensional Lie algebras and superalgebras

0 references

Rationality of admissible affine vertex algebras in the category \(\mathcal O\)

0 references

Conformal embeddings of affine vertex algebras in minimal \(W\)-algebras. II: Decompositions

0 references

On simplicity of vacuum modules

0 references

Modular invariance of characters of vertex operator algebras

0 references

THE ANNIHILATING IDEALS OF MINIMAL MODELS

0 references

Q4314348

0 references

Twisted representations of vertex operator algebras

0 references

Superconformal minimal models and admissible Jack polynomials

0 references

Finite vs affine \(W\)-algebras

0 references

INTRODUCTION TO QUANTIZED LIE GROUPS AND ALGEBRAS

0 references

Q3395889

0 references

Vertex operator algebras associated to representations of affine and Virasoro algebras

0 references

Conformal field theory

0 references

Q4011439

0 references

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

0 references

Q4326524

0 references

The physics superselection principle in vertex operator algebra theory

0 references

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

0 references

Lattice construction of logarithmic modules for certain vertex algebras

0 references

Q3118330

0 references

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

0 references

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

0 references

Braided tensor categories of admissible modules for affine Lie algebras

0 references

The combinatorics of category \({\mathcal O}\) over symmetrizable Kac-Moody algebras

0 references

Q4040877

0 references

Q5702549

0 references

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

0 references

Identifiers

zbMATH Open document ID

1467.81058

0 references

DOI

10.1007/s00220-021-04008-y

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:2035934