Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-11-11
Annals Phys.310:265-301,2004
Physics
High Energy Physics
High Energy Physics - Theory
Latex, 45 pages; minor corrections
Scientific paper
10.1016/j.aop.2003.10.004
We discuss some new metrics of special holonomy, and their roles in string theory and M-theory. First we consider Spin(7) metrics denoted by C_8, which are complete on a complex line bundle over CP^3. The principal orbits are S^7, described as a triaxially squashed S^3 bundle over S^4. The behaviour in the S^3 directions is similar to that in the Atiyah-Hitchin metric, and we show how this leads to an M-theory interpretation with orientifold D6-branes wrapped over S^4. We then consider new G_2 metrics which we denote by C_7, which are complete on an R^2 bundle over T^{1,1}, with principal orbits that are S^3\times S^3. We study the C_7 metrics using numerical methods, and we find that they have the remarkable property of admitting a U(1) Killing vector whose length is nowhere zero or infinite. This allows one to make an everywhere non-singular reduction of an M-theory solution to give a solution of the type IIA theory. The solution has two non-trivial S^2 cycles, and both carry magnetic charge with respect to the R-R vector field. We also discuss some four-dimensional hyper-Kahler metrics described recently by Cherkis and Kapustin, following earlier work by Kronheimer. We show that in certain cases these metrics, whose explicit form is known only asymptotically, can be related to metrics characterised by solutions of the su(\infty) Toda equation, which can provide a way of studying their interior structure.
Cvetic Mirjam
Gibbons Gary W.
Lu Hai
Pope Christopher N.
No associations
LandOfFree
Orientifolds and Slumps in G_2 and Spin(7) Metrics 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 Orientifolds and Slumps in G_2 and Spin(7) Metrics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Orientifolds and Slumps in G_2 and Spin(7) Metrics will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-296873