Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-07-22
Nucl.Phys. B524 (1998) 269-282
Physics
High Energy Physics
High Energy Physics - Theory
20 Pages, Latex
Scientific paper
10.1016/S0550-3213(98)00140-0
We consider Type II string theories on ${\bf T^n}/{{\bf Z_2}^m}$ Joyce orbifolds. This class contains orbifolds which can be desingularised to give manifolds of $G_2$ $({\bf n}$$=$$7)$ and $Spin(7)$ holonomy $({\bf n}$$=$$8)$. In the $G_2$ holonomy case we present two types of $T$-duality transformation which are clearly generalisations of the $T$-duality/mirror transformation in Calabi-Yau spaces. The first maps Type IIA theory on one such space from this class to Type IIB theory on another such space. The second maps Type IIA (IIB) to Type IIA (IIB). In the case of $Spin(7)$ holonomy we present a $T$-duality transformation which maps Type IIA (IIB) theory on one such space to Type IIA (IIB) on another such space. As orbifold conformal field theories these $T$-dual target spaces are related via the inclusion/exclusion of discrete torsion and the $T$-duality is proven to genus $g$ in string perturbation theory. We then apply a Strominger, Yau, Zaslow type argument which suggests that manifolds of $G_2$ holonomy which have a ``mirror'' of the first (second) type admit supersymmetric ${\bf T^3}$ (${\bf T^4}$) fibrations and that manifolds of $Spin(7)$ holonomy for which a mirror exists admit fibration by supersymmetric $4$-tori. Further evidence for this suggestion is given by examining the moduli space structure of wrapped D-branes.
No associations
LandOfFree
On Mirror Symmetry for Manifolds of Exceptional Holonomy does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On Mirror Symmetry for Manifolds of Exceptional Holonomy, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Mirror Symmetry for Manifolds of Exceptional Holonomy will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-700226