In the Realm of the Geometric Transitions

TL;DR

This paper constructs and analyzes geometric transition duals across type IIB, type I, and heterotic string theories, revealing new non-Kahler and torsional manifolds and confirming their consistency.

Contribution

It completes the duality cycle by explicitly constructing geometric transition duals in multiple string theories, including novel torsional heterotic backgrounds.

Findings

Type IIB background is a Kahler deformed conifold.

Type I and heterotic backgrounds are non-Kahler.

New torsional heterotic manifolds are consistent with torsional equations.

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.