Heterotic Flux Compactifications and Their Moduli

Details Heterotic Flux Compactifications and Their Moduli Heterotic Flux Compactifications and Their Moduli

2005-09-16

arxiv.org/abs/hep-th/0509131v3

Nucl.Phys.B741:162-179,2006

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, harvmac; v2: references added and minor changes; v3: published version, minor clarifications added

Scientific paper

10.1016/j.nuclphysb.2006.02.013

We study supersymmetric compactification to four dimensions with non-zero H-flux in heterotic string theory. The background metric is generically conformally balanced and can be conformally Kahler if the primitive part of the H-flux vanishes. Analyzing the linearized variational equations, we write down necessary conditions for the existence of moduli associated with the metric. In a heterotic model that is dual to a IIB compactification on an orientifold, we find the metric moduli in a fixed H-flux background via duality and check that they satisfy the required conditions. We also discuss expressing the conditions for moduli in a fixed flux background using twisted differential operators.

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