Institutionen för fysik och astronomi

Restrictions of Heterotic G2 Structures and Instanton Connections


Authors: Xenia de la Ossa, Magdalena Larfors and Eirik E. Svanes

Preprint number: UUITP-31/17

Abstract: 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=TY⊕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 parametrised by the first cohomology H1ˇ(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=TX⊕End(TX)⊕End(V).

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