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Conifold transitions and five-brane condensation in M-theory onSpin(7) manifolds

2002/07/31 by Sergei Gukov, James Sparks, David Tong · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Brane #Brane cosmology #Conifold #Cosmology and Gravitation Theories #Holonomy #Manifold (fluid mechanics) #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Space (punctuation) #Spin (aerodynamics) #String (physics) #String theory #Supersymmetry #Theoretical physics #Topology (electrical circuits) #hep-th

paper · pdf · doi:10.1088/0264-9381/20/4/306

published as Class.Quant.Grav.20:665-706,2003 · 56 pages, 13 figures, LaTeX; references added

arxiv created 2002/09/16 · openalex publication_date 2003/01/28 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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 ℂ P 2 bolt grows. We argue that the transition may be understood as the condensation of M5-branes wrapping S 5 . 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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