DOI10.1007/BF02102729zbMath0721.58046OpenAlexW2046237789MaRDI QIDQ2640970
Michael Bershadsky
Publication date: 1991
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02102729
On the completeness of the set of classical \({\mathcal W}\)-algebras obtained from DS reductions,
Correspondences among CFTs with different W-algebra symmetry,
Generalized black holes in three-dimensional spacetime,
Unitary \(W\)-algebras and three-dimensional higher spin gravities with spin one symmetry,
Unitarity in three-dimensional flat space higher spin theories,
Screening operators for \(\mathcal {W}\)-algebras,
Correlator correspondences for subregular \(\mathcal{W}\)-algebras and principal \(\mathcal{W}\)-superalgebras,
\(N=2\) affine superalgebras and Hamiltonian reduction in \(N=2\) superspace,
Large chiral diffeomorphisms on Riemann surfaces and W-algebras,
A realisation of the Bershadsky-Polyakov algebras and their relaxed modules,
A note on interface solutions in higher-spin gravity,
Webs of \(\mathcal{W}\)-algebras,
Minimal realization of \(\ell\)-conformal Galilei algebra, Pais-Uhlenbeck oscillators and their deformation,
Correspondences between WZNW models and CFTs with \(W\)-algebra symmetry,
Null warped AdS in higher spin gravity,
Free-field realization of the \(W_{KP}^{(N)}\) algebra,
Fermionic coset, critical level \(\mathcal W_4^{(2)}\)-algebra and higher spins,
Quantum reduction and representation theory of superconformal algebras,
\(W_n^{(n)}\) algebras,
Rationality of Bershadsky-Polyakov vertex algebras,
Cosets of Bershadsky-Polyakov algebras and rational \({\mathcal W}\)-algebras of type \(A\),
Modularity of Bershadsky-Polyakov minimal models,
Restricted modules and associated vertex algebras of extended Heisenberg-Virasoro algebra,
Coset constructions of logarithmic \((1, p)\) models,
Rigid tensor structure on big module categories for some \(W\)-(super)algebras in type \(A\),
Instanton partition functions in \(\mathcal{N} = 2\) SU(\(N\)) gauge theories with a general surface operator, and their \(\mathcal{W}\)-algebra duals,
Tensor Categories for Vertex Operator Superalgebra Extensions,
Subregular W-algebras of type A,
Bershadsky-Polyakov vertex algebras at positive integer levels and duality,
Conformal embeddings of affine vertex algebras in minimal \(W\)-algebras. I: Structural results,
Quantum reduction for affine superalgebras,
Generalized Toda theory from six dimensions and the conifold,
Relating the archetypes of logarithmic conformal field theory,
𝒲-gauge structures and their anomalies: An algebraic approach,
Nonlinear realizations of the \(W^{(2)}_3\) algebra,
Instanton counting with a surface operator and the chain-saw quiver,
Supergroup-extended super Liouville correspondence,
Covariant \(W\) gravity and its moduli space from gauge theory,
Induced and effective gravity theories in \(D=2\).,
Asymptotic \( \mathcal{W} \)-symmetries in three-dimensional higher-spin gauge theories,
Spacetime geometry in higher spin gravity,
A note on fractional KdV hierarchies,
Toward logarithmic extensions of \(\widehat{s\ell}(2)_k\) conformal field models,
Surface defects and chiral algebras,
Characters and fusion rules for \(W\)-algebras via quantized Drinfeld- Sokolov reduction,
Quantum group generators in conformal field theory,
Affine \(sl(N)\) conformal blocks from \({\mathcal N} = 2\) \(SU(N)\) gauge theories,
Localization of affine \(W\)-algebras,
Classification of superconformal and quasisuperconformal algebras in two dimensions,
Higher rank FZZ-dualities,
Vertex operator algebras, Higgs branches, and modular differential equations,
Cosets of the 𝒲^{𝓀}(𝔰𝔩₄,𝔣_{𝔰𝔲𝔟𝔯𝔢𝔤})-algebra,
Classifying relaxed highest-weight modules for admissible-level Bershadsky-Polyakov algebras,
Unitarity bounds in \(\mathrm{AdS}_3\) higher spin gravity,
Thermodynamics of higher spin black holes in 3D,
Generalized Drinfel'd-Sokolov hierarchies. II: The Hamiltonian structures,
Schur-Weyl duality for Heisenberg cosets,
Three-dimensional (higher-spin) gravities with extended Schrödinger and \(l\)-conformal Galilean symmetries,
Singular vectors of \(\mathcal W\) algebras via DS reduction of \(A^{(1)}_2\),
Virasoro Central Charges for Nichols Algebras,
Classification of irreducible modules for Bershadsky–Polyakov algebra at certain levels,
Correlator correspondences for Gaiotto-Rapčák dualities and first order formulation of coset models,
Becchi-Rouet-Stora-Tyutin operators for W algebras,
Bihamiltonian reductions and \({\mathcal W}_n\)-algebras,
Charged moments in \(W_3\) higher spin holography,
Nonabelian Toda theories from parafermionic reductions of the WZW model,
Conical defects in higher spin theories,
On \(sl(3)\) reduction, quantum gauge transformations, and \(W\)-algebra singular vectors,
\(W\)-algebras and superalgebras from constrained WZW models: A group theoretical classification,
Quantization and representation theory of finite \(W\) algebras,
The relation between quantum \(W\) algebras and Lie algebras,
Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture,
Multiplicity formula for cubic unipotent Arthur packets