Self-Duality in Higher Dimensions
dc.contributor.author | Bilge, Ayşe Hümeyra | |
dc.contributor.author | Dereli, Tekin | |
dc.contributor.author | Koçak, Şahin | |
dc.date.accessioned | 2020-12-27T18:58:07Z | |
dc.date.available | 2020-12-27T18:58:07Z | |
dc.date.issued | 2017 | |
dc.department | Fakülteler, Mühendislik ve Doğa Bilimleri Fakültesi, Endüstri Mühendisliği Bölümü | en_US |
dc.description.abstract | Let w be a 2-form on a 2n dimensional manifold. In previous work, we called w "strong self-dual, if the eigenvalues of its matrix with respect to an orthonormal frame are equal in absolute value. In a series of papers, we showed that strong self-duality agrees with previous definitions; in particular if w is strong self-dual, then, in 2n dimensions, w(n) is proportional to its Hodge dual w and in 4n dimensions, w(n) is Hodge self-dual. We also obtained a local expression of the Bonan 4-form on 8 manifolds with Spin7 holonomy, as the sum of the squares of any orthonormal basis of a maximal linear subspace of strong self-dual 2-forms. In the present work we generalize the notion of strong self-duality to odd dimensional manifolds and we express the dual of the Fundamental 3-form 7 manifolds with G(2) holonomy, as a sum of the squares of an orthonormal basis of a maximal linear subspace of strong self-dual 2-forms. | en_US |
dc.description.sponsorship | Czech Tech Univ Prague, Fac Nucl Sci & Phys Engn; Joint Inst Nucl Res, Bogoliubov Lab Theoret Phys | en_US |
dc.identifier.citation | 0 | |
dc.identifier.doi | 10.1088/1742-6596/804/1/012005 | en_US |
dc.identifier.issn | 1742-6588 | en_US |
dc.identifier.issn | 1742-6596 | en_US |
dc.identifier.issn | 1742-6588 | |
dc.identifier.issn | 1742-6596 | |
dc.identifier.scopus | 2-s2.0-85017531606 | en_US |
dc.identifier.uri | https://hdl.handle.net/20.500.12469/3690 | |
dc.identifier.uri | https://doi.org/10.1088/1742-6596/804/1/012005 | |
dc.identifier.volume | 804 | en_US |
dc.identifier.wos | WOS:000404045600005 | en_US |
dc.institutionauthor | Bilge, Ayşe Hümeyra | en_US |
dc.institutionauthor | Bilge, Ayşe Hümeyra | |
dc.language.iso | en | en_US |
dc.publisher | IOP Publishing Ltd | en_US |
dc.relation.journal | XXIV International Conference on Integrable Systems and Quantum Symmetries (ISQS-24) | en_US |
dc.relation.publicationcategory | Konferans Öğesi - Uluslararası - Kurum Öğretim Elemanı | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Equations | en_US |
dc.subject | Fields | en_US |
dc.subject | Spaces | en_US |
dc.title | Self-Duality in Higher Dimensions | en_US |
dc.type | Conference Object | en_US |
dspace.entity.type | Publication | |
relation.isAuthorOfPublication | 1b50a6b2-7290-44da-b8d5-f048fea8b315 | |
relation.isAuthorOfPublication.latestForDiscovery | 1b50a6b2-7290-44da-b8d5-f048fea8b315 |