Finite conformal modules over N=2,3,4 superconformal algebras

DOI10.1063/1.1333698zbMath1017.17024arXivmath/0005274OpenAlexW1976479536MaRDI QIDQ2774803

Shun-Jen Cheng, Ngau Lam

Publication date: 26 February 2002

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

Full work available at URL: https://arxiv.org/abs/math/0005274

zbMATH Keywords

explicitly all singular vectorsrepresentation theory of formal distribution Lie superalgebrasVerma-type conformal modules

Mathematics Subject Classification ID

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)

Related Items (19)

Classification of finite irreducible conformal modules for K4′ ⋮ Representations of super deformation of Heisenberg-Virasoro type Lie conformal algebras ⋮ Representations of simple finite Lie conformal superalgebras of type W and S ⋮ Representations of the affine-Virasoro algebra of type \(A_1\) ⋮ A new class of irreducible modules over the affine-Virasoro algebra of type \(A_1\) ⋮ Irreducible tensor product modules over the affine-Virasoro algebra of type A ₁ ⋮ Classification of finite irreducible conformal modules over Lie conformal superalgebras of Block type ⋮ Classification of finite irreducible modules over the Lie conformal superalgebra \(CK_{6}\) ⋮ Irreducible representations of finite Lie conformal algebras of planar Galilean type ⋮ Computation of the homology of the complexes of finite Verma modules for \(K'_4\) ⋮ Classification of simple locally finite modules over the affine-Virasoro algebras ⋮ Homology of the complexes of finite Verma modules over \(CK_6\) ⋮ \( \mathcal{S}\)-modular transformation of the \(\mathcal{N}=2\) superconformal algebra characters ⋮ Lie conformal superalgebras and duality of modules over linearly compact Lie superalgebras ⋮ Universally defined representations of Lie conformal superalgebras ⋮ Finite irreducible conformal modules over the Lie conformal superalgebra \(\mathcal{S}(p)\) ⋮ Non-weight modules over the affine-Virasoro algebra of type A1 ⋮ Representations of twisted infinite Lie conformal superalgebras ⋮ Irreducible modules over finite simple Lie conformal superalgebras of type K

Cites Work

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