2005/09/30 by Katrin Becker, Li-Sheng Tseng · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Compactification (mathematics) #Cosmology and Gravitation Theories #Heterotic string theory #Mathematical physics #Mathematics #Moduli #Moduli space #Nonlinear Waves and Solitons #Orientifold #Physics #Pure mathematics #Quantum electrodynamics #Quantum mechanics #String theory #Theoretical physics #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2006.02.013
published as Nucl.Phys.B741:162-179,2006 · 25 pages, harvmac; v2: references added and minor changes; v3: published version, minor clarifications added
openalex publication_date 2006/02/24 · arxiv created 2006/02/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.