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Canonical transformations for hyperkahler structures and hyperhamiltonian dynamics

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dc.contributor.authorGaeta, G.
dc.contributor.authorRodríguez González, Miguel Ángel
dc.date.accessioned2023-06-19T15:08:04Z
dc.date.available2023-06-19T15:08:04Z
dc.date.issued2014-05
dc.description©2014 AIP Publishing LLC We thank P. Morando for useful discussions on this work. M.A.R. was supported by the Spanish Ministry of Science and Innovation under Project No. FIS2011-22566. G.G. is supported by the Italian MIUR-PRIN program under Project No. 2010-JJ4KPA. This article was started and developed in the course of visits by G.G. in Universidad Complutense and by M.A.R. in Università di Milano; we thank these Institutions for their support.
dc.description.abstractWe discuss generalizations of the well known concept of canonical transformations fo symplectic structures to the case of hyperkahler structures. Different characterizations, which are equivalent in the symplectic case, give rise to non-equivalent notions in the hyperkahler ramework; we will thus distinguish between hyperkahler and canonical transformations. We also discuss the properties of hyperhamiltonian dynamics in this respect.
dc.description.departmentDepto. de Física Teórica
dc.description.facultyFac. de Ciencias Físicas
dc.description.refereedTRUE
dc.description.sponsorshipMinisterio de Ciencia e Innovación (MICINN)
dc.description.sponsorshipItalian MIUR-PRIN program
dc.description.statuspub
dc.eprint.idhttps://eprints.ucm.es/id/eprint/41458
dc.identifier.doi10.1063/1.4878121
dc.identifier.issn0022-2488
dc.identifier.officialurlhttp://dx.doi.org/10.1063/1.4878121
dc.identifier.relatedurlhttp://aip.scitation.org
dc.identifier.urihttps://hdl.handle.net/20.500.14352/35404
dc.issue.number5
dc.journal.titleJournal of mathematical physics
dc.language.isoeng
dc.publisherAmerican Institute of Physics
dc.relation.projectIDFIS2011-22566
dc.relation.projectID2010-JJ4KPA
dc.rights.accessRightsopen access
dc.subject.cdu51-73
dc.subject.keywordHyper-hamiltonian dynamics
dc.subject.keywordEquations
dc.subject.keywordMetrics
dc.subject.keywordInstantons
dc.subject.ucmFísica-Modelos matemáticos
dc.subject.ucmFísica matemática
dc.titleCanonical transformations for hyperkahler structures and hyperhamiltonian dynamics
dc.typejournal article
dc.volume.number55
dspace.entity.typePublication
relation.isAuthorOfPublicationd781a665-7ef6-44e0-a0da-81f722f1b8ad
relation.isAuthorOfPublication.latestForDiscoveryd781a665-7ef6-44e0-a0da-81f722f1b8ad

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