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Restrictions of Heterotic G2 Structures and Instanton Connections
Oxford, UK.
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
LPTHE, Paris 6.
2017 (English)In: Proceedings, Nigel Hitchin’s 70th Birthday Conference: Geometry and Physics : A Festschrift in honour of Nigel Hitchin : 2 volumes: Aarhus, Denmark, Oxford, UK, Madrid, Spain, September 5-16, 2016, Oxford: Oxford University Press, 2017Conference paper, Published paper (Refereed)
Abstract [en]

This note revisits recent results regarding the geometry and moduli of solutions of the heterotic string on manifolds Y with a G2 structure. In particular, such heterotic G2 systems can be rephrased in terms of a differential Dˇ acting on a complex Ωˇ∗(Y,Q), where Q=T∗Y⊕End(TY)⊕End(V), and Dˇ is an appropriate projection of an exterior covariant derivative D which satisfies an instanton condition. The infinitesimal moduli are further parametrized by the first cohomology H1Dˇ(Y,Q). We proceed to restrict this system to manifolds X with an SU(3) structure corresponding to supersymmetric compactifications to four-dimensional Minkowski space, often referred to as Strominger–Hull solutions. In doing so, we derive a new result: the Strominger-Hull system is equivalent to a particular holomorphic Yang–Mills covariant derivative on Q|X=T∗X⊕End(TX)⊕End(V).

Place, publisher, year, edition, pages
Oxford: Oxford University Press, 2017.
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Identifiers
URN: urn:nbn:se:uu:diva-371271DOI: 10.1093/oso/9780198802020.003.0020ISBN: 9780198802020 (print)OAI: oai:DiVA.org:uu-371271DiVA, id: diva2:1272912
Conference
Proceedings, Nigel Hitchin's 70th Birthday Conference : Geometry and Physics : A Festschrift in honour of Nigel Hitchin : 2 volumes : Aarhus, Denmark, Oxford, UK, Madrid, Spain, September 5-16, 2016
Funder
Swedish Research Council, 2016-03873Available from: 2018-12-20 Created: 2018-12-20 Last updated: 2019-03-15Bibliographically approved

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Larfors, Magdalena

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