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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| Format: | Article |
| Language: | English |
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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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| _version_ | 1849405563359723520 |
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| author | Christian Sämann |
| author_facet | Christian Sämann |
| author_sort | Christian Sämann |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-51c896b2c3ee4e97802efa28b1392de5 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-51c896b2c3ee4e97802efa28b1392de52025-08-20T03:36:38ZengWileyAdvances in Mathematical Physics1687-91201687-91392009-01-01200910.1155/2009/784215784215On the Mini-Superambitwistor Space and 𝒩=8 Super-Yang-Mills TheoryChristian Sämann0Institut für Theoretische Physik, Universität Hannover, Appelstraße 2, R-30167 Hannover, GermanyWe 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.http://dx.doi.org/10.1155/2009/784215 |
| spellingShingle | Christian Sämann On the Mini-Superambitwistor Space and 𝒩=8 Super-Yang-Mills Theory Advances in Mathematical Physics |
| title | On the Mini-Superambitwistor Space and
𝒩=8 Super-Yang-Mills Theory |
| title_full | On the Mini-Superambitwistor Space and
𝒩=8 Super-Yang-Mills Theory |
| title_fullStr | On the Mini-Superambitwistor Space and
𝒩=8 Super-Yang-Mills Theory |
| title_full_unstemmed | On the Mini-Superambitwistor Space and
𝒩=8 Super-Yang-Mills Theory |
| title_short | On the Mini-Superambitwistor Space and
𝒩=8 Super-Yang-Mills Theory |
| title_sort | on the mini superambitwistor space and x1d4a9 8 super yang mills theory |
| url | http://dx.doi.org/10.1155/2009/784215 |
| work_keys_str_mv | AT christiansamann ontheminisuperambitwistorspaceandx1d4a98superyangmillstheory |