Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-03-07
Nucl.Phys.B638:186-206,2002
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 26 pages
Scientific paper
10.1016/S0550-3213(02)00484-4
We consider spaces M_7 and M_8 of G_2 holonomy and Spin(7) holonomy in seven and eight dimensions, with a U(1) isometry. For metrics where the length of the associated circle is everywhere finite and non-zero, one can perform a Kaluza-Klein reduction of supersymmetric M-theory solutions (Minkowksi)_4\times M_7 or (Minkowksi)_3\times M_8, to give supersymmetric solutions (Minkowksi)_4\times Y_6 or (Minkowksi)_3\times Y_7 in type IIA string theory with a non-singular dilaton. We study the associated six-dimensional and seven-dimensional spaces Y_6 and Y_7 perturbatively in the regime where the string coupling is weak but still non-zero, for which the metrics remain Ricci-flat but that they no longer have special holonomy, at the linearised level. In fact they have ``almost special holonomy,'' which for the case of Y_6 means almost Kahler, together with a further condition. For Y_7 we are led to introduce the notion of an ``almost G_2 manifold,'' for which the associative 3-form is closed but not co-closed. We obtain explicit classes of non-singular metrics of almost special holonomy, associated with the near Gromov-Hausdorff limits of families of complete non-singular G_2 and Spin(7) metrics.
Cvetic Mirjam
Gibbons Gary W.
Lu Hai
Pope Christopher N.
No associations
LandOfFree
Almost Special Holonomy in Type IIA&M Theory 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 Almost Special Holonomy in Type IIA&M Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Almost Special Holonomy in Type IIA&M Theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-583222