On the mini-superambitwistor space and N = 8 super-Yang-Mills theory

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Sämann, C.: On the mini-superambitwistor space and N = 8 super-Yang-Mills theory. In: Advances in Mathematical Physics 2009 (2009), 784215. DOI: https://doi.org/10.1155/2009/784215

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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 "subneighborhoods" of a miniambitwistor space. Copyright © 2009 Christian Sämann.
License of this version: CC BY 3.0
Document Type: article
Publishing status: publishedVersion
Issue Date: 2009
Appears in Collections:Fakultät für Mathematik und Physik

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1 image of flag of Germany Germany 56 90.32%
2 image of flag of United States United States 4 6.45%
3 image of flag of China China 2 3.23%

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