Institut für Theoretische Physik, Universität Hannover, Appelstraße 2, R-30167 Hannover, Germany
Academic Editor: David B. Fairlie
Copyright © 2009 Christian Sämann. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We construct a new supertwistor space suited for establishing a Penrose-Ward
transform between certain bundles over this space and solutions to the
super-Yang-Mills equations in three dimensions. This mini-superambitwistor
space is obtained by dimensional reduction of the superambitwistor space, the
standard superextension of the ambitwistor space. We discuss in detail the construction
of this space and its geometry before presenting the Penrose-Ward
transform. We also comment on a further such transform for purely bosonic
Yang-Mills-Higgs theory in three dimensions by considering third-order formal
“subneighborhoods” of a miniambitwistor space.