Subregular W-algebras of type A
DOI10.1142/s0219199722500493zbMath1525.17022arXiv2111.05536OpenAlexW3214324546MaRDI QIDQ6133133
Publication date: 18 August 2023
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.05536
vertex operator algebras\(W\)-algebrasquantum Hamiltonian reductionrelaxed highest-weight modulessubregular \(W\)-algebras
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)
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Cites Work
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- Coset constructions of logarithmic \((1, p)\) models
- Rationality of \(W\)-algebras: principal nilpotent cases
- Quantum reduction and representation theory of superconformal algebras
- Braided tensor categories related to \(\mathcal{B}_p\) vertex algebras
- Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture
- A realisation of the Bershadsky-Polyakov algebras and their relaxed modules
- \(W_n^{(n)}\) algebras
- Finite vs affine \(W\)-algebras
- On rationality of \(W\)-algebras
- Secondary quantum Hamiltonian reductions
- The physics superselection principle in vertex operator algebra theory
- Quantum reduction for affine superalgebras
- New phenomena in \(\text{SU}(3)\) supersymmetric gauge theory
- W-algebras for Argyres-Douglas theories
- Realizations of simple affine vertex algebras and their modules: the cases \({\widehat{sl(2)}}\) and \({\widehat{osp(1,2)}}\)
- Singular vectors in Verma modules over Kac-Moody algebras
- Representations of a class of lattice type vertex algebras
- Vertex operator algebras associated to modular invariant representations for \(A_ 1^{(1)}\)
- Infinite chiral symmetry in four dimensions
- Duality of subregular \(\mathcal{W} \)-algebras and principal \(\mathcal{W} \)-superalgebras
- Classifying relaxed highest-weight modules for admissible-level Bershadsky-Polyakov algebras
- Rationality of the exceptional \(\mathcal{W}\)-algebras \(\mathcal{W}_k(\mathfrak{sp}_4,f_{subreg})\) associated with subregular nilpotent elements of \(\mathfrak{sp}_4\)
- Correspondences of categories for subregular \(\mathcal{W}\)-algebras and principal \(\mathcal{W}\)-superalgebras
- Liouville correlation functions from four-dimensional gauge theories
- Strong generators of the subregular \(\mathcal{W}\)-algebra \(\mathcal{W}^{K-N}(\mathfrak{sl}_N, f_{\text{sub}})\) and combinatorial description at critical level
- Quantum Langlands dualities of boundary conditions, \(D\)-modules, and conformal blocks
- Modularity of relatively rational vertex algebras and fusion rules of principal affine \(W\)-algebras
- Screening operators for \(\mathcal {W}\)-algebras
- Representation theory of \(\mathcal{W}\)-algebras
- Modular data and Verlinde formulae for fractional level WZW models. II
- \(\mathcal{W}\) symmetry in six dimensions
- Conformal field theories via Hamiltonian reduction
- The vertex algebras \(\mathcal{R}^{(p)}\) and \(\mathcal{V}^{(p)}\)
- Modularity of Bershadsky-Polyakov minimal models
- Associated Varieties of Modules Over Kac-Moody Algebras and C2-Cofiniteness of W-Algebras
- A MATHEMATICA™ PACKAGE FOR COMPUTING OPERATOR PRODUCT EXPANSIONS
- Sugawara Operators for Classical Lie Algebras
- Cosets of the 𝒲^{𝓀}(𝔰𝔩₄,𝔣_{𝔰𝔲𝔟𝔯𝔢𝔤})-algebra
- Modular invariance of characters of vertex operator algebras
- Classification of irreducible modules for Bershadsky–Polyakov algebra at certain levels
- Quantum Langlands duality of representations of -algebras
- Rationality of admissible affine vertex algebras in the category \(\mathcal O\)
- Rationality and fusion rules of exceptional \(\mathcal{W}\)-algebras
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