Weight module classifications for Bershadsky-Polyakov algebras

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69)

Cites Work

Title not available (Why is that?)
Rationality of Bershadsky-Polyakov vertex algebras
Rationality of \(W\)-algebras: principal nilpotent cases
Quantum reduction and representation theory of superconformal algebras
Non-Abelian bosonization in two dimensions
Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture
A realisation of the Bershadsky-Polyakov algebras and their relaxed modules
Fusion rules and modular transformations in 2D conformal field theory
On simplicity of vacuum modules
Relaxed singular vectors, Jack symmetric functions and fractional level \(\widehat{\mathfrak{sl}}(2)\) models
\(\hat{\mathfrak sl}(2)_{-\frac{1}{2}}\): a case study
Vertex operator algebras associated to representations of affine and Virasoro algebras
Classification of irreducible modules of \({\mathcal W}_3\) algebra with \(c=-2\)
The physics superselection principle in vertex operator algebra theory
Quantum reduction for affine superalgebras
Classification of irreducible modules of certain subalgebras of free boson vertex algebra.
Conformal embeddings of affine vertex algebras in minimal \(W\)-algebras. I: Structural results
Cosets, characters and fusion for admissible-level \(\mathfrak{osp}(1 | 2)\) minimal models
Realizations of simple affine vertex algebras and their modules: the cases \({\widehat{sl(2)}}\) and \({\widehat{osp(1,2)}}\)
Representations of a class of lattice type vertex algebras
Vertex operator algebras associated to modular invariant representations for \(A_ 1^{(1)}\)
Irreducible non-dense \(A_ 1^{(1)}\)-modules
Modular data and Verlinde formulae for fractional level WZW models I
Automorphisms of \(\mathcal W\)-algebras and extended rational conformal field theories
Classification of irreducible weight modules
Classifying relaxed highest-weight modules for admissible-level Bershadsky-Polyakov algebras
Relaxed highest-weight modules. III: Character formulae
Admissible-level \(\mathfrak{sl}_3\) minimal models
On ribbon categories for singlet vertex algebras
Unitary and non-unitary \(N=2\) minimal models
Weight representations of admissible affine vertex algebras
Relaxed highest-weight modules. I: Rank 1 cases
Modular data and Verlinde formulae for fractional level WZW models. II
Conformal field theories via Hamiltonian reduction
Modularity of Bershadsky-Polyakov minimal models
Ribbon tensor structure on the full representation categories of the singlet vertex algebras
Vertex algebras and algebraic curves
Logarithmic conformal field theory: beyond an introduction
A Class of Algebras Similar to the Enveloping Algebra of sl(2)
Associated Varieties of Modules Over Kac-Moody Algebras and C2-Cofiniteness of W-Algebras
Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
Equivalence between chain categories of representations of affine sl(2) and N=2 superconformal algebras
Modular invariance of characters of vertex operator algebras
Classification of irreducible modules for Bershadsky–Polyakov algebra at certain levels
Vertex operator algebras, the Verlinde conjecture, and modular tensor categories
Relaxed highest-weight modules II: Classifications for affine vertex algebras
Rationality of admissible affine vertex algebras in the category \(\mathcal O\)
Subregular W-algebras of type A
Rationality and fusion rules of exceptional \(\mathcal{W}\)-algebras
Bershadsky-Polyakov vertex algebras at positive integer levels and duality

This page was built for publication: Weight module classifications for Bershadsky-Polyakov algebras

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6608789)