Local heterotic geometry and self-dual Einstein-Weyl spaces
We consider the local heterotic geometry of Delduc and Valent which arises in (4, 0)-supersymmetry, and the self-dual Einstein-Weyl spaces of Pedersen and Swann. Both of these are hypercomplex and, by a consideration of spinors, we are able to find the relationship between them: roughly speaking, th...
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Format: | Journal article |
Language: | English |
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1996
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author | Tod, K |
author_facet | Tod, K |
author_sort | Tod, K |
collection | OXFORD |
description | We consider the local heterotic geometry of Delduc and Valent which arises in (4, 0)-supersymmetry, and the self-dual Einstein-Weyl spaces of Pedersen and Swann. Both of these are hypercomplex and, by a consideration of spinors, we are able to find the relationship between them: roughly speaking, they have connections which agree on anti-self-dual bivectors but are opposite on self-dual bivectors. Some examples, including all compact ones, are discussed. © 1996 IOP Publishing Ltd. |
first_indexed | 2024-03-07T00:09:31Z |
format | Journal article |
id | oxford-uuid:78ba12db-d36a-40bd-97e1-762847b794ba |
institution | University of Oxford |
language | English |
last_indexed | 2024-03-07T00:09:31Z |
publishDate | 1996 |
record_format | dspace |
spelling | oxford-uuid:78ba12db-d36a-40bd-97e1-762847b794ba2022-03-26T20:32:37ZLocal heterotic geometry and self-dual Einstein-Weyl spacesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:78ba12db-d36a-40bd-97e1-762847b794baEnglishSymplectic Elements at Oxford1996Tod, KWe consider the local heterotic geometry of Delduc and Valent which arises in (4, 0)-supersymmetry, and the self-dual Einstein-Weyl spaces of Pedersen and Swann. Both of these are hypercomplex and, by a consideration of spinors, we are able to find the relationship between them: roughly speaking, they have connections which agree on anti-self-dual bivectors but are opposite on self-dual bivectors. Some examples, including all compact ones, are discussed. © 1996 IOP Publishing Ltd. |
spellingShingle | Tod, K Local heterotic geometry and self-dual Einstein-Weyl spaces |
title | Local heterotic geometry and self-dual Einstein-Weyl spaces |
title_full | Local heterotic geometry and self-dual Einstein-Weyl spaces |
title_fullStr | Local heterotic geometry and self-dual Einstein-Weyl spaces |
title_full_unstemmed | Local heterotic geometry and self-dual Einstein-Weyl spaces |
title_short | Local heterotic geometry and self-dual Einstein-Weyl spaces |
title_sort | local heterotic geometry and self dual einstein weyl spaces |
work_keys_str_mv | AT todk localheteroticgeometryandselfdualeinsteinweylspaces |