On the Mini-Superambitwistor Space and N=8 Super Yang-Mills Theory

Details On the Mini-Superambitwistor Space and N=8 Super Yang-Mills Theory On the Mini-Superambitwistor Space and N=8 Super Yang-Mills Theory

2005-08-19

arxiv.org/abs/hep-th/0508137v2

Adv.Math.Phys.2009:784215,2009

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, revised and published version

Scientific paper

10.1155/2009/784215

We construct a new supertwistor space suited for establishing a Penrose-Ward transform between certain bundles over this space and solutions to the N=8 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 "sub-neighborhoods" of a mini-ambitwistor space.

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