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...

Full description

Bibliographic Details
Main Author: Tod, K
Format: Journal article
Language:English
Published: 1996
_version_ 1797076843520589824
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