Self-duality in higher dimensions

dc.contributor.authorBilge, Ayşe Hümeyra
dc.contributor.authorDereli, Tekin
dc.contributor.authorKoçak, Şahin
dc.date.accessioned2020-12-27T18:58:07Z
dc.date.available2020-12-27T18:58:07Z
dc.date.issued2017
dc.departmentFakülteler, Mühendislik ve Doğa Bilimleri Fakültesi, Endüstri Mühendisliği Bölümüen_US
dc.description.abstractLet 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.sponsorshipCzech Tech Univ Prague, Fac Nucl Sci & Phys Engn; Joint Inst Nucl Res, Bogoliubov Lab Theoret Physen_US
dc.identifier.citation0
dc.identifier.doi10.1088/1742-6596/804/1/012005en_US
dc.identifier.issn1742-6588en_US
dc.identifier.issn1742-6596en_US
dc.identifier.issn1742-6588
dc.identifier.issn1742-6596
dc.identifier.scopus2-s2.0-85017531606en_US
dc.identifier.scopusqualityN/A
dc.identifier.urihttps://hdl.handle.net/20.500.12469/3690
dc.identifier.urihttps://doi.org/10.1088/1742-6596/804/1/012005
dc.identifier.volume804en_US
dc.identifier.wosWOS:000404045600005en_US
dc.identifier.wosqualityN/A
dc.institutionauthorBilge, Ayşe Hümeyraen_US
dc.language.isoenen_US
dc.publisherIOP Publishing Ltden_US
dc.relation.journalXXIV International Conference on Integrable Systems and Quantum Symmetries (ISQS-24)en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectEquationsen_US
dc.subjectFieldsen_US
dc.subjectSpacesen_US
dc.titleSelf-duality in higher dimensionsen_US
dc.typeConference Objecten_US
dspace.entity.typePublication
relation.isAuthorOfPublication1b50a6b2-7290-44da-b8d5-f048fea8b315
relation.isAuthorOfPublication.latestForDiscovery1b50a6b2-7290-44da-b8d5-f048fea8b315

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