Orbifolds and cosets of minimal \({\mathcal{W}}\)-algebras

From MaRDI portal
Publication:2408554

DOI10.1007/s00220-017-2901-2zbMath1407.17030arXiv1610.09348OpenAlexW3123322296MaRDI QIDQ2408554

Tomoyuki Arakawa, Andrew R. Linshaw, Thomas Creutzig, Kazuya Kawasetsu

Publication date: 12 October 2017

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.09348




Related Items

The \(\mathbb{Z}_2\)-orbifold of the \(\mathcal{W}_3\)-algebraTensor decomposition, parafermions, level-rank duality, and reciprocity law for vertex operator algebrasModularity of logarithmic parafermion vertex algebrasRationality and \(C_2\)-cofiniteness of certain diagonal coset vertex operator algebrasThe vertex algebras \(\mathcal{R}^{(p)}\) and \(\mathcal{V}^{(p)}\)Cosets of Bershadsky-Polyakov algebras and rational \({\mathcal W}\)-algebras of type \(A\)W-algebras for Argyres-Douglas theoriesInvariant subalgebras of the small \(\mathcal{N} = 4\) superconformal algebraCosets from equivariant 𝒲-algebrasQuantum dimensions and irreducible modules of some diagonal coset vertex operator algebrasTensor Categories for Vertex Operator Superalgebra ExtensionsTensor category \(\mathrm{KL}_k (\mathfrak{sl}_{2n})\) via minimal affine \(W\)-algebras at the non-admissible level \(k = - \frac{2n + 1}{2}\)ℤ₂-orbifold construction associated with (-1)-isometry and uniqueness of holomorphic vertex operator algebras of central charge 24Inertia groups and uniqueness of holomorphic vertex operator algebrasFusion rules for \(\mathbb{Z}_2\)-orbifolds of affine and parafermion vertex operator algebrasS-duality for the large \(N = 4\) superconformal algebraCosets of affine vertex algebras inside larger structuresUniversal two-parameter even spin \(\mathcal{W}_\infty\)-algebraCosets of the 𝒲^{𝓀}(𝔰𝔩₄,𝔣_{𝔰𝔲𝔟𝔯𝔢𝔤})-algebraSome exceptional extensions of Virasoro vertex operator algebrasUniversal two-parameter 𝒲-algebra and vertex algebras of type 𝒲(2, 3, …, N)Simple current extensions beyond semi-simplicityTensor categories of affine Lie algebras beyond admissible levelsKazama-Suzuki coset construction and its inverseGeneralized parafermions of orthogonal typeSchur-Weyl duality for Heisenberg cosets\( \mathcal{W} \)-algebra modules, free fields, and Gukov-Witten defects\(W\)-algebras as coset vertex algebrasReverse orbifold construction and uniqueness of holomorphic vertex operator algebrasClassification of irreducible modules for Bershadsky–Polyakov algebra at certain levelsCorrelator correspondences for Gaiotto-Rapčák dualities and first order formulation of coset modelsTrialities of orthosymplectic \(\mathcal{W} \)-algebras


Uses Software


Cites Work


This page was built for publication: Orbifolds and cosets of minimal \({\mathcal{W}}\)-algebras