Universal two-parameter 𝒲∞-algebra and vertex algebras of type 𝒲(2, 3, …, N)
From MaRDI portal
Publication:4964758
DOI10.1112/S0010437X20007514zbMath1489.17025arXiv1710.02275MaRDI QIDQ4964758
Publication date: 3 March 2021
Published in: Compositio Mathematica (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1710.02275
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Virasoro and related algebras (17B68) 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)
Related Items
Tensor decomposition, parafermions, level-rank duality, and reciprocity law for vertex operator algebras, On extensions of \(\mathfrak{gl}\widehat{\left(m \vert n \right)}\) Kac-Moody algebras and Calabi-Yau singularities, Invariant subalgebras of the small \(\mathcal{N} = 4\) superconformal algebra, Cohomological Hall algebras, vertex algebras and instantons, Bootstrapping string dynamics in the 6d \(\mathcal{N} = (2, 0)\) theories, Logarithmic vertex algebras related to sp(4), Bershadsky-Polyakov vertex algebras at positive integer levels and duality, Whittaker vectors for \(\mathcal{W}\)-algebras from topological recursion, Orbifolds of Gaiotto-Rapčák \(Y\)-algebras, Symmetry algebras of stringy cosets, Higher rank FZZ-dualities, Vertex rings and their Pierce bundles, Toda theory in \(\mathrm{AdS}_{2}\) and \(\mathcal{W} A_n\)-algebra structure of boundary correlators, \(q\)-deformation of corner vertex operator algebras by Miura transformation, T-duality and the exotic chiral de Rham complex, Instanton R-matrix and \(\mathcal{W}\)-symmetry, The matrix-extended \({\mathcal{W}}_{1+\infty}\) algebra, Generalized parafermions of orthogonal type, Miura operators, degenerate fields and the M2-M5 intersection, Trialities of orthosymplectic \(\mathcal{W} \)-algebras, A slow review of the AGT correspondence
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Branching rules for quantum toroidal \(\mathfrak{gl}_n\)
- The affine Yangian of \(\mathfrak{gl}_1\) revisited
- Rationality of Bershadsky-Polyakov vertex algebras
- Cherednik algebras, \(W\)-algebras and the equivariant cohomology of the moduli space of instantons on \(\mathbb A^2\)
- Coset constructions of logarithmic \((1, p)\) models
- Quantization of the Drinfel'd-Sokolov reduction.
- Symmetries of holographic minimal models
- Rationality of \(W\)-algebras: principal nilpotent cases
- A remark on boundary level admissible representations
- Quantum reduction and representation theory of superconformal algebras
- Invariant theory and the \(\mathcal{W}_{1+\infty}\) algebra with negative integral central charge
- Vertex algebras at the corner
- Branching functions for winding subalgebras and tensor products
- \(W_n^{(n)}\) algebras
- On simplicity of vacuum modules
- Finite vs affine \(W\)-algebras
- On rationality of \(W\)-algebras
- \(W\)-algebras related to parafermion algebras
- Virasoro algebras and coset space models
- Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants
- Coset construction for extended Virasoro algebras
- Vertex operator algebras associated to representations of affine and Virasoro algebras
- Characters and fusion rules for \(W\)-algebras via quantized Drinfeld- Sokolov reduction
- On a trace functional for formal pseudo-differential operators and the symplectic structure of the Korteweg-deVries type equations
- On Whittaker vectors and representation theory
- \(\mathcal W_{1+\infty}\) algebra \(\mathcal W_3\) algebra and Friedan-Martinec-Shenker bosonization
- Quasifinite highest weight modules over the Lie algebra of differential operators on the circle
- Symmetric invariant bilinear forms on vertex operator algebras
- Quantum reduction for affine superalgebras
- Webs of \(\mathcal{W}\)-algebras
- \( \mathcal{W} \) -symmetry, topological vertex and affine Yangian
- Schur indices, BPS particles, and Argyres-Douglas theories
- W-algebras for Argyres-Douglas theories
- A construction of admissible \(A_1^{(1)}\)-modules of level \(-\frac{4}{3}\)
- Freely generated vertex algebras and nonlinear Lie conformal algebras
- Triality in minimal model holography
- Special transverse slices and their enveloping algebras
- \({\mathcal W}_{1+\infty}\) and \({\mathcal W}(gl_ N)\) with central charge \(N\)
- Commutative quantum operator algebras
- Poisson-Lie group of pseudodifferential symbols
- Character and determinant formulae of quasifinite representation of the \(W_{1+\infty}\) algebra
- Universal Drinfeld-Sokolov reduction and matrices of complex size
- Local systems of vertex operators, vertex superalgebras and modules
- Representation theory of the vertex algebra \(W_{1+\infty}\)
- From the \(w_\infty\)-algebra to its central extension: A \(\tau\)-function approach
- \(W\)-algebras with set of primary fields of dimensions \((3,4,5)\) and \((3,4,5,6)\).
- Cosets of affine vertex algebras inside larger structures
- Vertex algebras for S-duality
- Liouville correlation functions from four-dimensional gauge theories
- Quantum Langlands dualities of boundary conditions, \(D\)-modules, and conformal blocks
- Schur-Weyl duality for Heisenberg cosets
- \(W\)-algebras as coset vertex algebras
- Screening operators for \(\mathcal {W}\)-algebras
- Orbifolds and cosets of minimal \({\mathcal{W}}\)-algebras
- Cosets of Bershadsky-Polyakov algebras and rational \({\mathcal W}\)-algebras of type \(A\)
- The structure of the Kac-Wang-Yan algebra
- Exploring \(\mathcal W_{\infty}\) in the quadratic basis
- REPRESENTATIONS OF THE VERTEX ALGEBRA W1+∞ WITH A NEGATIVE INTEGER CENTRAL CHARGE
- COSET REALIZATION OF UNIFYING ${\mathcal W}$ ALGEBRAS
- A Presentation of the Deformed W 1+∞ Algebra
- Instanton moduli spaces and $\mathscr W$-algebras
- Parafermion vertex operator algebras and $W$-algebras
- Adler–Gelfand–Dickey Approach to Classical 𝒲-Algebras Within the Theory of Poisson Vertex Algebras
- Associated Varieties of Modules Over Kac-Moody Algebras and C2-Cofiniteness of W-Algebras
- Vertex algebras, Kac-Moody algebras, and the Monster
- The Lie algebras $ \mathfrak{gl}(\lambda)$ and cohomologies of Lie algebras of differential operators
- Spin and wedge representations of infinite-dimensional Lie algebras and groups
- BEYOND THE LARGE N LIMIT: NON-LINEAR W∞ AS SYMMETRY OF THE SL(2,R)/U(1) COSET MODEL
- VERTEX ALGEBRAS AND VERTEX POISSON ALGEBRAS
- A MATHEMATICA™ PACKAGE FOR COMPUTING OPERATOR PRODUCT EXPANSIONS
- JOSEPH IDEALS AND LISSE MINIMAL -ALGEBRAS
- $\boldsymbol{\mathcal{W}}$-algebras with Non-admissible Levels and the Deligne Exceptional Series
- Vertex rings and their Pierce bundles
- Cosets of the 𝒲^{𝓀}(𝔰𝔩₄,𝔣_{𝔰𝔲𝔟𝔯𝔢𝔤})-algebra
- Field Algebras
- Modular invariance of characters of vertex operator algebras
- Quantum Langlands duality of representations of -algebras
- The super $\mathcal {W}_{1+\infty }$ algebra with integral central charge
- On axiomatic approaches to vertex operator algebras and modules
- Quantum groups and quantum cohomology
- FUSION RULES AND COMPLETE REDUCIBILITY OF CERTAIN MODULES FOR AFFINE LIE ALGEBRAS
