Heterotic Flux Compactifications and Their Moduli
arXiv:hep-th/0509131 · doi:10.1016/j.nuclphysb.2006.02.013
Abstract
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.
25 pages, harvmac; v2: references added and minor changes; v3: published version, minor clarifications added