575 research outputs found
N=2 supersymmetric pseudodifferential symbols and super W-algebras
We study the superconformally covariant pseudodifferential symbols defined on
N=2 super Riemann surfaces. This allows us to construct a primary basis for N=2
super W_KP^(n)-algebras and, by reduction, for N=2 super W_n-algebras.Comment: 12 page
d=2, N=2 Superconformally Covariant Operators and Super W-Algebras
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.Comment: 29 pages, LaTe
Non-standard matrix formats of Lie superalgebras
The standard format of matrices belonging to Lie superalgebras consists of
partitioning the matrices into even and odd blocks. In this paper, we study
other possible matrix formats and in particular the so-called diagonal format
which naturally occurs in various applications, e.g. in superconformal field
theory, superintegrable models, for super W-algebras and quantum supergroups
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