The Abelian Heterotic Conifold

TL;DR

This paper explores heterotic supergravity solutions on the conifold with Abelian fluxes, providing explicit analytic near horizon solutions and an exactly solvable worldsheet CFT, revealing new insights into flux compactifications.

Contribution

It introduces a family of heterotic conifold solutions with flux, including an explicit near horizon solution and a solvable worldsheet CFT, advancing understanding of flux backgrounds.

Findings

Explicit analytic near horizon solution with fixed cycle size

Exactly solvable worldsheet CFT for the near horizon region

Solutions connect to resolved conifold when cycles vanish

Abstract

We study heterotic supergravity on the conifold and its Z2 orbifold with Abelian gauge fields and three-form flux. At large distances, these solutions are locally Ricci-flat, have a magnetic flux through the two-sphere at infinity as well as non-zero five-brane charge. For a given flux, our family of solutions has three real parameters, the size of the pair of two spheres in the IR and the dilaton zero mode. We present an explicit analytic solution for the decoupled near horizon region where for a given flux, the size of the cycles is frozen and the only parameter is the dilaton zero mode. We also present an exactly solvable worldsheet CFT for this near horizon region. When one of the two cycles has vanishing size, the near horizon region no longer exists but we obtain a solution on the (unorbifolded) resolved conifold.