Rolling among G2 vacua

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Abstract

We consider topology-changing transitions between 7-manifolds of holonomy G2 constructed as a quotient of CY × S1 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 G2 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 G2 manifolds with the same value for the sum of Betti numbers b2 + b3, and hence potential candidates for mirror manifolds.

Original languageEnglish
Pages (from-to)XV-24
JournalJournal of High Energy Physics
Volume5
Issue number3
DOIs
Publication statusPublished - 1 Jan 2001

Keywords

  • Black Holes in String Theory
  • M-Theory
  • Superstring Vacua

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