Superconformally covariant operators and super-W-algebras

DOI10.1063/1.530243zbMath0783.58082arXivhep-th/9208072OpenAlexW2050801076MaRDI QIDQ4276809

François Gieres, Stefan J. Theisen

Publication date: 10 February 1994

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

Full work available at URL: https://arxiv.org/abs/hep-th/9208072

zbMATH Keywords

super-Riemann surfacesuper-\(W\)-algebrassuperconformal changes of coordinatessuperdifferential operator

Mathematics Subject Classification ID

Supermanifolds and graded manifolds (58A50) Superalgebras (17A70) Partial differential equations on manifolds; differential operators (58J99) Riemann surfaces (30F99)

Related Items

\(\mathfrak{osp}(2|2)\)-trivial deformations of modules of weighted densities on the superspace \(\mathbb R^{1|2}\), d=2, N=2 superconformally covariant operators and super W-algebras, Hankel forms of arbitrary weight over a symmetric domain via the transvectant, Cohomology of the Lie Superalgebra of Contact Vector Fields on 𝕂^1|1 and Deformations of the Superspace of Symbols, Differential operators on supercircle: conformally equivariant quantization and symbol calculus, A geometrical approach to super \(W\)-induced gravities in two dimensions, 1-cocycles on the group of contactomorphisms on the supercircles \(S^{1|1}\) and \(S^{1|2}\) generalizing the Schwarzian derivative, Superconformal covariantization of superdifferential operator on (1‖1) superspace and classical N=2 W superalgebras, Supergroup structure of Jackiw-Teitelboim supergravity, Introducing supersymmetric frieze patterns and linear difference operators, On 𝔬𝔰𝔭(1|2)-relative cohomology of the Lie superalgebra of contact vector fields on ℝ1|1, \(\mathrm{dS}_2\) supergravity, \( \mathcal{N}=1 \) Liouville SCFT in four dimensions, Supertransvectants, cohomology, and deformations, N=2 supercovariant operators and Krichever–Novikov algebra, On \(\mathfrak{osp}(2|2)\)-relative cohomology of the Lie superalgebra of contact vector fields and deformations, On 𝔬𝔰𝔭(1 | 2)-Relative Cohomology onS^1|1, NONSTANDARD MATRIX FORMATS OF LIE SUPERALGEBRAS, Analogs of Bol operators on superstrings

Cites Work

• Lie algebras and equations of Korteweg-de Vries type
• A supersymmetric extension of the Kadomtsev-Petviashvili hierarchy
• Graded Riemann surfaces
• Conformally invariant differential operators on Minkowski space and their curved analogues
• Singular vectors of the Neveu-Schwarz algebra
• Classical \(N =1\) \(W\)-superalgebras from Hamiltonian reduction
• Super-Toda theories and W-algebras from superspace Wess-Zumino-Witten models
• Covariant differential equations and singular vectors in Virasoro representations
• Covariant differential operators for densities and KdV equation as a flow on diffeomorphism groups
• Toda theory and \({\mathcal W}\)-algebra from a gauged WZNW point of view
• SUPERSYMMETRIC GELFAND–DICKEY ALGEBRA
• Supersymmetric extension of the Korteweg–de Vries equation
• Notes on projective structures on complex manifolds
• N=2 super W algebras and generalized N=2 super KdV heirarchies based on Lie superalgebras
• COVARIANT sl₂ DECOMPOSITION OF THE sl_n DRINFELD-SOKOLOV EQUATIONS AND THE W_n ALGEBRAS
• CONFORMALLY COVARIANT OPERATORS ON RIEMANN SURFACES (WITH APPLICATIONS TO CONFORMAL AND INTEGRABLE MODELS)