Invariant theory and the \(\mathcal{W}_{1+\infty}\) algebra with negative integral central charge

DOI10.4171/JEMS/292zbMath1244.17016arXiv0811.4067MaRDI QIDQ645355

Andrew R. Linshaw

Publication date: 14 November 2011

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.4067

zbMATH Keywords

invariant theoryvertex algebra\(\mathcal{W}_{1+\infty}\) algebraorbifold constructionstrong finite generation

Mathematics Subject Classification ID

Vertex operators; vertex operator algebras and related structures (17B69) Infinite-dimensional Lie (super)algebras (17B65) Actions of groups on commutative rings; invariant theory (13A50)

Related Items

Three point functions in higher spin \(\mathrm{AdS}_3\) supergravity ⋮ The structure of the Kac-Wang-Yan algebra ⋮ Orbifolds and cosets of minimal \({\mathcal{W}}\)-algebras ⋮ Associating quantum vertex algebras to Lie algebra \(\mathfrak{gl}_\infty\) ⋮ Invariant subalgebras of affine vertex algebras ⋮ ℤ/2ℤ Invariants of the free fermion algebra ⋮ Cosets of affine vertex algebras inside larger structures ⋮ A Hilbert theorem for vertex algebras ⋮ Cosets of the 𝒲^{𝓀}(𝔰𝔩₄,𝔣_{𝔰𝔲𝔟𝔯𝔢𝔤})-algebra ⋮ Universal two-parameter 𝒲_∞-algebra and vertex algebras of type 𝒲(2, 3, …, N) ⋮ Simple current extensions beyond semi-simplicity ⋮ Orbifolds of symplectic fermion algebras ⋮ Schur-Weyl duality for Heisenberg cosets ⋮ \( \mathcal{W} \)-algebra modules, free fields, and Gukov-Witten defects ⋮ The super $\mathcal {W}_{1+\infty }$ algebra with integral central charge

Uses Software

• Mathematica

Cites Work

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