Localized instabilities at conifolds

Abstract

We consider the M-theory lifts of configurations of type IIA D6-branes intersecting at angles. In supersymmetry preserving cases, the lifts correspond to special holonomy geometries, like conifolds and $G_2$ holonomy singularities. Transitions in which D6-branes approach and recombine lift to topology changing transition in these geometries. In some instances non-supersymmetric configurations can be reliably lifted, leading to the same topological manifolds, but endowed with non-supersymmetric metrics. In these cases the phase transitions are driven dynamically, due to instabilities localized at the singularities. Even though in non-compact setups the instabilities relax to infinity, in compact situations there exist nearby minima where the instabilities dissappear and the decay reaches a well-defined (in general supersymmetric) endpoint.

23 pages, 5 figures, latex; v2 references added

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Cited by in corpus (11)

• Orientifolds of K3 and Calabi-Yau Manifolds with Intersecting D-branes
• Intersecting D-brane Models
• Open Strings in Exactly Solvable Model of Curved Spacetime and PP-Wave Limit
• Fluxbrane Inflation
• Discrete gauge symmetries from (closed string) tachyon condensation
• M5-brane geometries, T-duality and fluxes
• Higher Dimensional Recombination of Intersecting D-branes
• Closed String Tachyons, Non-Supersymmetric Orbifolds and Generalised McKay Correspondence
• F-theory Duals of M-theory on G2 Manifolds from Mirror Symmetry
• Comments on the Fate of unstable orbifolds
• Decay of type 0 NS5-branes to nothing