Superalgebra of conformal deformations for twistor-like superspaces
type: Item
instance of: scholarly article
title: Superalgebra of conformal deformations for twistor-like superspaces
zbMATH Open document ID: 0913.53028
DOI: 10.1007/BF02630372
author: D. V. Serebryakova
author: N. G. Pletnev
published in: Theoretical and Mathematical Physics
publication date: 1999-06-09T00:00:00Z
review text: The authors describe a new twistorlike extension of a two-dimensional conformal superspace which admits nontrivial central charges. The principal features include: a parametrization of the SU(2) spin symmetry involving a set of anticommutative generators which may be used to construct massless harmonics; the usual vector coordinates become complex; and the Grassmann coordinates reduce to a single scalar Lorentz invariant variable. The choice of an appropriate analytical subspace in the original conformal superspace is not obvious, but their choice admits the possibility of covariantly reducing the theory from the initial conformal superspace to a superspace of smaller Grassmann dimension. It is shown that by a special choice of the coordinates and flat space, one can obtain the Penrose twistor equation, and the Ogievetsky harmonics. Contents include: an introduction; notation and arguments; a description of the superalgebra; and perspectives. Reviewer's Comment: The translation is of marginal quality, with several foreign names being incorrectly translated.
Mathematics Subject Classification ID: 53Z05
Mathematics Subject Classification ID: 81R25
Mathematics Subject Classification ID: 81T40
Mathematics Subject Classification ID: 81T60
zbMATH DE Number: 1262911
zbMATH Keywords: twistors
zbMATH Keywords: spinors
zbMATH Keywords: two-dimensional conformal superspace
zbMATH Keywords: SU(2) spin symmetry
zbMATH Keywords: superalgebra
reviewed by: Joseph D. Zund
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/bf02630372
OpenAlex ID: W2081992996
description: scientific article; zbMATH DE number 1262911