Rolling among G_2 vacua

Details Rolling among G_2 vacua Rolling among G_2 vacua

2000-11-15

arxiv.org/abs/hep-th/0011130v2

JHEP 0103 (2001) 005

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 2 figures, uses JHEP.cls, section 5 modified

Scientific paper

10.1088/1126-6708/2001/03/005

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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