In the Realm of the Geometric Transitions

Abstract

We complete the duality cycle by constructing the geometric transition duals in the type IIB, type I and heterotic theories. We show that in the type IIB theory the background on the closed string side is a Kahler deformed conifold, as expected, even though the mirror type IIA backgrounds are non-Kahler (both before and after the transition). On the other hand, the Type I and heterotic backgrounds are non-Kahler. Therefore, on the heterotic side these backgrounds give rise to new torsional manifolds that have not been studied before. We show the consistency of these backgrounds by verifying the torsional equation.

60 pages, 2 .eps figures, Harvmac; v2: Minor typos corrected and references added; v3: Some more typos corrected. Final version to appear in Nucl. Phys. B

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