d=2, N=2 Superconformally Covariant Operators and Super W-Algebras

Abstract

We construct and classify superconformally covariant differential operators defined on N=2 super Riemann surfaces. By contrast to the N=1 theory, these operators give rise to partial rather than ordinary differential equations which leads to novel features for their matrix representation. The latter is applied to the derivation of N=2 super W-algebras in terms of N=2 superfields.

29 pages, LaTeX

References in corpus (5)

• N=2 KP and KdV hierarchies in extended superspace
• Verma Modules, Extremal Vectors, and Singular Vectors on the Non-Critical N=2 String Worldsheet
• Gauge invariant formulation of $N=2$ Toda and KdV systems in extended superspace
• A geometrical approach to super W-induced gravities in two dimensions
• d=2, N=2 Superconformal Symmetries and Models

Cited by in corpus (5)

• Super-GCA from $\mathcal{N}=(2,2)$ Super-Virasoro
• dS${}_2$ Supergravity
• Non-standard matrix formats of Lie superalgebras
• d=2, N=2 Superconformal Symmetries and Models
• Conformal covariance in 2d conformal and integrable models, in W-algebras and in their supersymmetric extensions