On the Uniqueness of the Octonionic Instanton Solution on Conformally Flat 8-Manifolds

dc.contributor.authorBilge, Ayşe Hümeyra
dc.date.accessioned2021-01-02T18:49:00Z
dc.date.available2021-01-02T18:49:00Z
dc.date.issued2016
dc.departmentFakülteler, Mühendislik ve Doğa Bilimleri Fakültesi, Endüstri Mühendisliği Bölümüen_US
dc.description.abstractLet M be an 8-manifold and E be an SO(8) bundle on M. In a previous paper [F. Ozdemir and A.H. Bilge, "Self-duality in dimensions 2n > 4: equivalence of various definitions and the derivation of the octonionic instanton solution", ARI (1999) 51:247-253], we have shown that if the second Pontrjagin number p(2) of the bundle E is minimal, then the components of the curvature 2-form matrix F with respect to a local orthonormal frame are F-ij = c(ij)omega(ij), where c(ij)'s are certain functions and the omega(ij)'s are strong self-dual 2-forms such that for all distinct j, k, l, the products omega(ij)omega(jk) are self dual and omega(ij)omega(kl) are anti self-dual. We prove that if the c(ij)'s are equal to each other and the manifold M is conformally flat, then the octonionic instanton solution given in [B.Grossman, T.W.Kephart, J.D.Stasheff, Commun. Math. Phys., 96, 431-437, (1984)] is unique in this classen_US
dc.identifier.citation0
dc.identifier.doi10.1088/1742-6596/670/1/012011en_US
dc.identifier.issn1742-6588en_US
dc.identifier.issn1742-6596en_US
dc.identifier.issn1742-6588
dc.identifier.issn1742-6596
dc.identifier.scopus2-s2.0-84962408639en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12469/3704
dc.identifier.urihttps://doi.org/10.1088/1742-6596/670/1/012011
dc.identifier.volume670en_US
dc.identifier.wosWOS:000382083700011en_US
dc.institutionauthorBilge, Ayşe Hümeyraen_US
dc.institutionauthorBilge, Ayşe Hümeyra
dc.language.isoenen_US
dc.publisherIOP Publishing Ltden_US
dc.relation.journalXXIII International Conference on Integrable Systems and Quantum Symmetriesen_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFieldsen_US
dc.titleOn the Uniqueness of the Octonionic Instanton Solution on Conformally Flat 8-Manifoldsen_US
dc.typeConference Objecten_US
dspace.entity.typePublication
relation.isAuthorOfPublication1b50a6b2-7290-44da-b8d5-f048fea8b315
relation.isAuthorOfPublication.latestForDiscovery1b50a6b2-7290-44da-b8d5-f048fea8b315

Files

Original bundle

Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
On the uniqueness of the octonionic instanton solution on conformally flat 8-manifolds.pdf
Size:
989.75 KB
Format:
Adobe Portable Document Format
Description: