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The Generalised Complex Geometry of (p,q) Hermitian Geometries
The Blackett Laboratory, Imperial College, London, UK.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2018 (English)Manuscript (preprint) (Other academic)
Abstract [en]

We define (p,q) hermitian geometry as the target space geometry of the two dimensional (p,q) supersymmetric sigma model. This includes generalised Kähler geometry for (2,2), generalised hyperkähler geometry for (4,2), strong Kähler with torsion geometry for (2,1) and strong hyperkähler with torsion geometry for (4,1). We provide a generalised complex geometry formulation of hermitian geometry, generalising Gualtieri's formulation of the (2,2) case. Our formulation involves a chiral version of generalised complex structure and we provide explicit formulae for the map to generalised geometry.

Place, publisher, year, edition, pages
2018.
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:uu:diva-371290OAI: oai:DiVA.org:uu-371290DiVA, id: diva2:1272966
Available from: 2018-12-20 Created: 2018-12-20 Last updated: 2019-05-13Bibliographically approved

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https://arxiv.org/pdf/1810.06489.pdf

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Lindström, Ulf

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