2006/04/30 by Katrin Becker, Melanie Becker, Ji-Xiang Fu +2 · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2006.05.034
published as Nucl.Phys.B751:108-128,2006 · 30 pages, harvmac; v2: typos corrected and minor clarifications added
arxiv created 2006/06/10 · arxiv updated 2009/12/01
We show that six-dimensional backgrounds that are T2 bundle over a Calabi-Yau two-fold base are consistent smooth solutions of heterotic flux compactifications. We emphasize the importance of the anomaly cancellation condition which can only be satisfied if the base is K3 while a T4 base is excluded. The conditions imposed by anomaly cancellation for the T2 bundle structure, the dilaton field, and the holomorphic stable bundles are analyzed and the solutions determined. Applying duality, we check the consistency of the anomaly cancellation constraints with those for flux backgrounds of M-theory on eight-manifolds.