Conifold Transitions and Five-Brane Condensation in M-Theory on Spin(7) Manifolds

Details Conifold Transitions and Five-Brane Condensation in M-Theory on Spin(7) Manifolds Conifold Transitions and Five-Brane Condensation in M-Theory on Spin(7) Manifolds

2002-07-26

arxiv.org/abs/hep-th/0207244v2

Class.Quant.Grav. 20 (2003) 665-706

Physics

High Energy Physics

High Energy Physics - Theory

56 pages, 13 figures, LaTeX; references added

Scientific paper

We conjecture a topology changing transition in M-theory on a non-compact asymptotically conical Spin(7) manifold, where a 5-sphere collapses and a CP(2) bolt grows. We argue that the transition may be understood as the condensation of M5-branes wrapping the 5-sphere. Upon reduction to ten dimensions, it has a physical interpretation as a transition of D6-branes lying on calibrated submanifolds of flat space. In yet another guise, it may be seen as a geometric transition between two phases of type IIA string theory on a G_2 holonomy manifold with either wrapped D6-branes, or background Ramond-Ramond flux. This is the first non-trivial example of a topology changing transition with only 1/16 supersymmetry.

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