on the mini-superambitwistor space and 𝒩=8 super-yang-mills theory
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ID: 167233
2009
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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.
| Reference Key |
smann2009advanceson
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|---|---|
| Authors | ;Christian Sämann |
| Journal | theater |
| Year | 2009 |
| DOI |
10.1155/2009/784215
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| URL | |
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