Anomaly Cancellation and Smooth Non-Kahler Solutions in Heterotic String Theory

Details Anomaly Cancellation and Smooth Non-Kahler Solutions in Heterotic String Theory Anomaly Cancellation and Smooth Non-Kahler Solutions in Heterotic String Theory

2006-04-19

arxiv.org/abs/hep-th/0604137v2

Nucl.Phys.B751:108-128,2006

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, harvmac; v2: typos corrected and minor clarifications added

Scientific paper

10.1016/j.nuclphysb.2006.05.034

We show that six-dimensional backgrounds that are T^2 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 T^4 base is excluded. The conditions imposed by anomaly cancellation for the T^2 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.

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