Quaternionic Kähler and hyperKähler manifolds with torsion and twistor spaces

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dc.creatorIvanov, Stefan
dc.creatorMinchev, Ivan
dc.date2001-12-15
dc.date2003-09-11
dc.date.accessioned2026-07-07T04:45:16Z
dc.date.available2026-07-07T04:45:16Z
dc.descriptionThe target space of a (4,0) supersymmetric two-dimensional sigma model with Wess-Zumino term has a connection with totally skew-symmetric torsion and holonomy contained in Sp(n)Sp(1) (resp. Sp(n)), QKT (resp. HKT)-spaces. We study the geometry of QKT, HKT manifold and their twistor spaces. We show that the Swann bundle of a QKT manifold admits a HKT structure with special symmetry if and only if the twistor space of the QKT manifold admits an almost hermitian structure with totally skew-symmetric Nijenhuis tensor, thus connecting two structures arising from quantum field theories and supersymmetric sigma models with Wess-Zumino term.
dc.descriptionLaTeX 17 pages, Corrections in section 6, final version to appear in Crelle's Journal
dc.identifierhttps://arxiv.org/abs/math/0112157
dc.identifierhttp://arxiv.org/abs/math/0112157
dc.identifierJ. Reine Angew. Math. 567 (2004), 215-233
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62897
dc.subjectDifferential Geometry
dc.subjectHigh Energy Physics - Theory
dc.subject53C25
dc.titleQuaternionic Kähler and hyperKähler manifolds with torsion and twistor spaces
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