Modularity of Bershadsky-Polyakov minimal models
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Publication:2670694
DOI10.1007/s11005-022-01536-zzbMath1490.17033arXiv2110.10336OpenAlexW3206591121MaRDI QIDQ2670694
Publication date: 1 June 2022
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2110.10336
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69)
Related Items (3)
Rigid tensor structure on big module categories for some \(W\)-(super)algebras in type \(A\) ⋮ Subregular W-algebras of type A ⋮ Admissible-level \(\mathfrak{sl}_3\) minimal models
Cites Work
- Unnamed Item
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- Fusion rules for the logarithmic \(N\)=1 superconformal minimal models. II: Including the Ramond sector
- Rationality of Bershadsky-Polyakov vertex algebras
- Coset constructions of logarithmic \((1, p)\) models
- Rationality of \(W\)-algebras: principal nilpotent cases
- Fusion in fractional level \(\widehat{\mathfrak sl}(2)\)-theories with \(k=-\frac{1}{2}\)
- Conformal field theory
- Branching functions for winding subalgebras and tensor products
- 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
- Logarithmic \(M(2,p)\) minimal models, their logarithmic couplings, and duality
- Vertex operator algebras associated to representations of affine and Virasoro algebras
- Characters and fusion rules for \(W\)-algebras via quantized Drinfeld- Sokolov reduction
- Quantum reduction for affine superalgebras
- An admissible level \(\widehat{\mathfrak{osp}}(1| 2)\)-model: modular transformations and the Verlinde formula
- 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
- Nonsemisimple fusion algebras and the Verlinde formula
- Modular data and Verlinde formulae for fractional level WZW models I
- Classifying relaxed highest-weight modules for admissible-level Bershadsky-Polyakov algebras
- Gluing vertex algebras
- Bosonic ghostbusting: the bosonic ghost vertex algebra admits a logarithmic module category with rigid fusion
- Bosonic ghosts at \(c=2\) as a logarithmic CFT
- Schur-Weyl duality for Heisenberg cosets
- Modularity of relatively rational vertex algebras and fusion rules of principal affine \(W\)-algebras
- Relaxed highest-weight modules. I: Rank 1 cases
- Relating the archetypes of logarithmic conformal field theory
- Modular data and Verlinde formulae for fractional level WZW models. II
- Modular transformations and Verlinde formulae for logarithmic (\(p_+,p_-\))-models
- Conformal field theories via Hamiltonian reduction
- The tensor structure on the representation category of the $\mathcal {W}_p$ triplet algebra
- Logarithmic conformal field theory: beyond an introduction
- Fusion rules of the {\cal W}_{p,q} triplet models
- Virasoro representations and fusion for general augmented minimal models
- Fusion rules for the logarithmicN= 1 superconformal minimal models: I. The Neveu–Schwarz sector
- Associated Varieties of Modules Over Kac-Moody Algebras and C2-Cofiniteness of W-Algebras
- VERTEX OPERATOR ALGEBRAS AND THE VERLINDE CONJECTURE
- Modular invariance of characters of vertex operator algebras
- Takiff superalgebras and conformal field theory
- Classification of irreducible modules for Bershadsky–Polyakov algebra at certain levels
- On fusion rules and intertwining operators for the Weyl vertex algebra
- Vertex operator algebras, the Verlinde conjecture, and modular tensor categories
- From boundary to bulk in logarithmic CFT
- Fusion rules and logarithmic representations of a WZW model at fractional level
- Boundary algebras and Kac modules for logarithmic minimal models
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