In the realm of the geometric transitions

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 Kähler deformed conifold, as expected, even though the mirror type IIA backgrounds are non-Kähler (both before and after the transition). On the other hand, the type I and heterotic backgrounds are non-Kähler. 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.