On the Mini-Superambitwistor Space and 𝒩=8 Super-Yang-Mills Theory
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 superambitw...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2009-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2009/784215 |
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| Summary: | 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. |
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| ISSN: | 1687-9120 1687-9139 |