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arXiv · hep-th/0011130

Rolling among G_2 vacua

H. Partouche·B. Pioline
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Abstract

We consider topology-changing transitions between 7-manifolds of holonomy G_2 constructed as a quotient of CY x S^1 by an antiholomorphic involution. We classify involutions for Complete Intersection CY threefolds, focussing primarily on cases without fixed points. The ordinary conifold transition between CY threefolds descends to a transition between G_2 manifolds, corresponding in the N=1 effective theory incorporating the light black hole states either to a change of branch in the scalar potential or to a Higgs mechanism. A simple example of conifold transition with a fixed nodal point is also discussed. As a spin-off, we obtain examples of G_2 manifolds with the same value for the sum of Betti numbers b_2+b_3, and hence potential candidates for mirror manifolds.

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H. Partouche, B. Pioline. 2000-12-21. Rolling among G_2 vacua. https://doi.org/10.1088/1126-6708%2F2001%2F03%2F005

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