Unification of M- and F- Theory Calabi-Yau Fourfold Vacua

Details Unification of M- and F- Theory Calabi-Yau Fourfold Vacua Unification of M- and F- Theory Calabi-Yau Fourfold Vacua

1996-10-27

arxiv.org/abs/hep-th/9610195v1

Nucl.Phys. B498 (1997) 156-174

Physics

High Energy Physics

High Energy Physics - Theory

plain TeX, 22pp

Scientific paper

10.1016/S0550-3213(97)89481-3

We consider splitting type phase transitions between Calabi-Yau fourfolds. These transitions generalize previously known types of conifold transitions between threefolds. Similar to conifold configurations the singular varieties mediating the transitions between fourfolds connect moduli spaces of different dimensions, describing ground states in M- and F-theory with different numbers of massless modes as well as different numbers of cycles to wrap various p-branes around. The web of Calabi-Yau fourfolds obtained in this way contains the class of all complete intersection manifolds embedded in products of ordinary projective spaces, but extends also to weighted configurations. It follows from this that for some of the fourfold transitions vacua with vanishing superpotential are connected to ground states with nonzero superpotential.

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