Superconformally covariant operators and super W algebras

Abstract

We study superdifferential operators of order $2n+1$ which are covariant with respect to superconformal changes of coordinates on a compact super Riemann surface. We show that all such operators arise from super Möbius covariant ones. A canonical matrix representation is presented and applications to classical super W algebras are discussed.

23 pages, LATEX, MPI-Ph/92-66 and KA-THEP-7/92

Cited by in corpus (16)

• Differential operators on supercircle: conformally equivariant quantization and symbol calculus
• Cohomology of the Lie Superalgebra of Contact Vector Fields on ${\mathbb{R}}^{1|1}$ and Deformations of the Superspace of Symbols
• Conformal symbols and the action of contact vector fields over the superline
• Supergroup Structure of Jackiw-Teitelboim Supergravity
• dS${}_2$ Supergravity
• $\mathcal{N}=1$ Liouville SCFT in Four Dimensions
• Non-standard matrix formats of Lie superalgebras
• On the projective geometry of the supercircle: a unified construction of the super cross-ratio and Schwarzian derivative
• Superconformal Covariantization Of Superdifferential Operator On (1|1) Superspace And Classical N=2 W-superalgebras
• d=2, N=2 Superconformally Covariant Operators and Super W-Algebras
• Introducing supersymmetric frieze patterns and linear difference operators
• A geometrical approach to super W-induced gravities in two dimensions
• Differential Operators on the Weighted Densities on the Supercircle $S^{1|n}$
• Classical N=2 W-superalgebras From Superpseudodifferential Operators
• Conformal covariance in 2d conformal and integrable models, in W-algebras and in their supersymmetric extensions
• Deforming the Lie Superalgebra $\mathcal{K}(1)$-Modules Of Symbols