Bershadsky-Polyakov vertex algebras at positive integer levels and duality

DOI10.1007/s00031-022-09721-zarXiv2011.10021OpenAlexW3104965637MaRDI QIDQ6185765

Publication date: 8 January 2024

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2011.10021

Mathematics Subject Classification ID

Quantum field theory; related classical field theories (81Txx) Groups and algebras in quantum theory (81Rxx) Lie algebras and Lie superalgebras (17Bxx)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Rationality of Bershadsky-Polyakov vertex algebras
Quantum reduction and representation theory of superconformal algebras
On complete reducibility for infinite-dimensional Lie algebras
A realisation of the Bershadsky-Polyakov algebras and their relaxed modules
Lie superalgebras and irreducibility of \(A_1^{(1)}\)-modules at the critical level
The physics superselection principle in vertex operator algebra theory
Certain associative algebras similar to \(U(sl_ 2)\) and Zhu's algebra \(A(V_ L)\)
Quantum reduction for affine superalgebras
Introduction to vertex operator algebras and their representations
An admissible level \(\widehat{\mathfrak{osp}}(1| 2)\)-model: modular transformations and the Verlinde formula
Conformal embeddings of affine vertex algebras in minimal \(W\)-algebras. I: Structural results
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
Duality of subregular \(\mathcal{W} \)-algebras and principal \(\mathcal{W} \)-superalgebras
Classifying relaxed highest-weight modules for admissible-level Bershadsky-Polyakov algebras
Conformal embeddings in affine vertex superalgebras
Schur-Weyl duality for Heisenberg cosets
Cosets of Bershadsky-Polyakov algebras and rational \({\mathcal W}\)-algebras of type \(A\)
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
A family of regular vertex operator algebras with two generators
A Class of Algebras Similar to the Enveloping Algebra of sl(2)
Spinor Construction of Vertex Operator Algebras, Triality, and 𝐸⁽¹⁾₈
Equivalence between chain categories of representations of affine sl(2) and N=2 superconformal algebras
Modular invariance of characters of vertex operator algebras
Universal two-parameter 𝒲_∞-algebra and vertex algebras of type 𝒲(2, 3, …, N)
Classification of irreducible modules for Bershadsky–Polyakov algebra at certain levels
Tensor Structure on the Kazhdan–Lusztig Category for Affine 𝔤𝔩(1|1)
On fusion rules and intertwining operators for the Weyl vertex algebra
Certain extensions of vertex operator algebras of affine type
Vertex algebra approach to fusion rules for \(N=2\) superconformal minimal models
Rationality of admissible affine vertex algebras in the category \(\mathcal O\)

This page was built for publication: Bershadsky-Polyakov vertex algebras at positive integer levels and duality