Geometric Transitions, Flops and Non-Kahler Manifolds: II

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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85 pages, Harvmac, no figures, v2: New results added in sec. 2 and sec. 6, typos corrected and references added, v3: Preprint

Scientific paper

10.1016/j.nuclphysb.2005.12.023

We continue our study of geometric transitions in type II and heterotic theories. In type IIB theory we discuss an F-theory setup which clarifies many of our earlier assumptions and allows us to study gravity duals of N = 1 gauge theories with arbitrary global symmetry group G. We also point out the subtle differences between global and local metrics, and show that in many cases the global descriptions are far more complicated than discussed earlier. We determine the full global description in type I/heterotic theory. In type IIA, our analysis gives rise to a local non-Kahler metric whose global description involves a particular orientifold action with gauge fluxes localised on branes. We are also able to identify the three form fields that allow for a smooth flop in the M-theory lift. We briefly discuss the issues of generalised complex structures in type IIB theory and possible half-twisted models in the heterotic duals of our type II models. In a companion paper we will present details on the topological aspects of these models.

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