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Restrictions of Heterotic G2 Structures and Instanton Connections
Oxford, UK.
Uppsala universitet, Teknisk-naturvetenskapliga vetenskapsområdet, Fysiska sektionen, Institutionen för fysik och astronomi, Teoretisk fysik.
LPTHE, Paris 6.
2017 (engelsk)Inngår i: 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, 2017Konferansepaper, Publicerat paper (Fagfellevurdert)
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).

sted, utgiver, år, opplag, sider
Oxford: Oxford University Press, 2017.
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URN: urn:nbn:se:uu:diva-371271DOI: 10.1093/oso/9780198802020.003.0020ISBN: 9780198802020 (tryckt)OAI: oai:DiVA.org:uu-371271DiVA, id: diva2:1272912
Konferanse
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
Forskningsfinansiär
Swedish Research Council, 2016-03873Tilgjengelig fra: 2018-12-20 Laget: 2018-12-20 Sist oppdatert: 2019-03-15bibliografisk kontrollert

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