English

Rolling among G_2 vacua

High Energy Physics - Theory 2014-11-18 v2

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.

Keywords

Cite

@article{arxiv.hep-th/0011130,
  title  = {Rolling among G_2 vacua},
  author = {H. Partouche and B. Pioline},
  journal= {arXiv preprint arXiv:hep-th/0011130},
  year   = {2014}
}

Comments

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

R2 v1 2026-07-22T15:01:00.846Z