Moduli Space of Torsional Manifolds

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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23 pages, harvmac; v2: typos corrected, minor clarifications, reference added

Scientific paper

10.1016/j.nuclphysb.2007.07.006

We characterize the geometric moduli of non-Kaehler manifolds with torsion. Heterotic supersymmetric flux compactifications require that the six-dimensional internal manifold be balanced, the gauge bundle be hermitian Yang-Mills, and also the anomaly cancellation be satisfied. We perform the linearized variation of these constraints to derive the defining equations for the local moduli. We explicitly determine the metric deformations of the smooth flux solution corresponding to a torus bundle over K3.

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