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

Christian Saemann

doi:10.1155/2009/784215

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

Christian Saemann

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	Undefined/Unknown
Journal	Advances in Mathematical Physics
DOIs	https://doi.org/10.1155/2009/784215
Publication status	Published - 19 Aug 2005

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10.1155/2009/784215

Cite this

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