Mirror symmetry aspects for compact G_2 manifolds

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dc.creatorSalur, Sema
dc.creatorSantillan, Osvaldo
dc.date2007-07-10
dc.date2007-12-24
dc.date.accessioned2026-07-07T08:50:45Z
dc.date.available2026-07-07T08:50:45Z
dc.descriptionThe present paper deals with mirror symmetry aspects of compact ``barely'' $G_2$ manifolds, that is, $G_2$ manifolds of the form (CY$\times S^1)/\mathbb{Z}_2$. We propose that the mirror of any barely $G_2$ manifold is another barely one and which is constructed as a fibration of the \emph{mirror} of the CY base. Also, we describe the Joyce manifolds of the first kind as ``barely'' and we show that the underlying CY of all the family is self-mirror with $h^{1,1}=h^{2,1}=19$. We thus propose that the mirror of a Joyce space of the first kind will be another Joyce space of the first kind.We also suggest that this self-mirror CY family is dual to K3$\times S^1$ in the heterotic/M-theory sense, and that arise as a particular case of the Borcea-Voisin construction. As a spin-off we conclude from this analysis that no 5-brane instantons are present in compactifications of eleven dimensional supergravity over Joyce manifolds of the first kind.
dc.description19 pages, Latex, some explanation clarified
dc.identifierhttps://arxiv.org/abs/0707.1356
dc.identifierhttp://arxiv.org/abs/0707.1356
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144707
dc.subjectHigh Energy Physics - Theory
dc.subjectAlgebraic Geometry
dc.subjectGeometric Topology
dc.titleMirror symmetry aspects for compact G_2 manifolds
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