Trialities of orthosymplectic \(\mathcal{W} \)-algebras
From MaRDI portal
Publication:2089649
DOI10.1016/j.aim.2022.108678zbMath1504.18016arXiv2102.10224OpenAlexW4295528103WikidataQ114211411 ScholiaQ114211411MaRDI QIDQ2089649
Thomas Creutzig, Andrew R. Linshaw
Publication date: 24 October 2022
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.10224
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) 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) Fusion categories, modular tensor categories, modular functors (18M20)
Related Items
Holomorphic integer graded vertex superalgebras ⋮ FZZ-triality and large \(\mathcal{N} = 4\) super Liouville theory ⋮ Cosets from equivariant 𝒲-algebras ⋮ Rigid tensor structure on big module categories for some \(W\)-(super)algebras in type \(A\) ⋮ Orbifold theory of the affine vertex operator superalgebra \(L_{\widehat{osp (1|2)}}(k, 0)\) ⋮ Whittaker vectors for \(\mathcal{W}\)-algebras from topological recursion ⋮ Duality of subregular \(\mathcal{W} \)-algebras and principal \(\mathcal{W} \)-superalgebras
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Cherednik algebras, \(W\)-algebras and the equivariant cohomology of the moduli space of instantons on \(\mathbb A^2\)
- Quantization of the Drinfel'd-Sokolov reduction.
- Quantum supergroups. III: Twistors
- Rationality of \(W\)-algebras: principal nilpotent cases
- Quantum reduction and representation theory of superconformal algebras
- Vertex algebras at the corner
- On quantum Galois theory
- Branching functions for winding subalgebras and tensor products
- On even spin \({\mathcal{W}}_{\infty }\)
- Representation theory of superconformal algebras and the Kac-Roan-Wakimoto conjecture
- Permutation orbifolds of Virasoro vertex algebras and \(W\)-algebras
- \(W_n^{(n)}\) algebras
- On simplicity of vacuum modules
- On rationality of \(W\)-algebras
- Vertex operator algebras associated to representations of affine and Virasoro algebras
- Generalized vertex algebras and relative vertex operators
- Symmetric invariant bilinear forms on vertex operator algebras
- Quantum reduction for affine superalgebras
- \( \mathcal{W} \) -symmetry, topological vertex and affine Yangian
- Braided tensor categories of admissible modules for affine Lie algebras
- Conformal embeddings of affine vertex algebras in minimal \(W\)-algebras. I: Structural results
- Fusion categories for affine vertex algebras at admissible levels
- Triality in minimal model holography
- On a \(q\)-analogue of the McKay correspondence and the ADE classification of \(\mathfrak{sl}_{2}\) conformal field theories
- S-duality for the large \(N = 4\) superconformal algebra
- Cosets of affine vertex algebras inside larger structures
- Duality of subregular \(\mathcal{W} \)-algebras and principal \(\mathcal{W} \)-superalgebras
- Higher rank FZZ-dualities
- Tensor categories of affine Lie algebras beyond admissible levels
- Generalized parafermions of orthogonal type
- Module category and \(C_2\)-cofiniteness of affine vertex operator superalgebras
- Gluing vertex algebras
- Rationality of the exceptional \(\mathcal{W}\)-algebras \(\mathcal{W}_k(\mathfrak{sp}_4,f_{subreg})\) associated with subregular nilpotent elements of \(\mathfrak{sp}_4\)
- Trialities of \(\mathcal{W} \)-algebras
- Correspondences of categories for subregular \(\mathcal{W}\)-algebras and principal \(\mathcal{W}\)-superalgebras
- Cohomological Hall algebras, vertex algebras and instantons
- Quantum dimensions and irreducible modules of some diagonal coset vertex operator algebras
- On the tensor structure of modules for compact orbifold vertex operator algebras
- Vertex algebras for S-duality
- Tensor categories arising from the Virasoro algebra
- Liouville correlation functions from four-dimensional gauge theories
- Universal two-parameter even spin \(\mathcal{W}_\infty\)-algebra
- Quantum Langlands dualities of boundary conditions, \(D\)-modules, and conformal blocks
- Schur-Weyl duality for Heisenberg cosets
- \(W\)-algebras as coset vertex algebras
- Braided tensor categories and extensions of vertex operator algebras
- Superconformal minimal models and admissible Jack polynomials
- Screening operators for \(\mathcal {W}\)-algebras
- Orbifolds and cosets of minimal \({\mathcal{W}}\)-algebras
- Exploring \(\mathcal W_{\infty}\) in the quadratic basis
- Orbifolds of symplectic fermion algebras
- Invariant Theory and the Heisenberg Vertex Algebra
- Instanton moduli spaces and $\mathscr W$-algebras
- Integrability of C2-cofinite vertex operator algebras
- A LOGARITHMIC GENERALIZATION OF TENSOR PRODUCT THEORY FOR MODULES FOR A VERTEX OPERATOR ALGEBRA
- Associated Varieties of Modules Over Kac-Moody Algebras and C2-Cofiniteness of W-Algebras
- On exceptional nilpotents in semisimple Lie algebras
- Semi-infinite cohomology and string theory
- Spin and wedge representations of infinite-dimensional Lie algebras and groups
- A MATHEMATICA™ PACKAGE FOR COMPUTING OPERATOR PRODUCT EXPANSIONS
- Quantum $q$-Langlands Correspondence
- Representation theory of $L_k(\mathfrak {osp}(1 \vert 2))$ from vertex tensor categories and Jacobi forms
- Rationality, regularity, and 𝐶₂-cofiniteness
- Modular invariance of characters of vertex operator algebras
- The Witt group of non-degenerate braided fusion categories
- Universal two-parameter 𝒲∞-algebra and vertex algebras of type 𝒲(2, 3, …, N)
- N = 4 Superconformal Algebras and Diagonal Cosets
- Simple current extensions beyond semi-simplicity
- Logarithmic Tensor Category Theory for Generalized Modules for a Conformal Vertex Algebra, I: Introduction and Strongly Graded Algebras and Their Generalized Modules
- Characters, supercharacters and Weber modular functions
- Symplectic level-rank duality via tensor categories
- Urod algebras and Translation of W-algebras
- Integrable highest weight modules over affine superalgebras and Appell's function
- An analog of the classical invariant theory for Lie superalgebras. I, II
- Rationality of admissible affine vertex algebras in the category \(\mathcal O\)
