6D effective action of heterotic compactification on K3 with nontrivial gauge bundles

2011/12/31 by Jan Louis, Martin Schasny, Roberto Valandro · 8 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Compactification (mathematics) #Cosmology and Gravitation Theories #Effective action #Heterotic string theory #Mathematical physics #Mathematics #Moduli #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum mechanics #Theoretical physics #Vector bundle #hep-th

paper · pdf · doi:10.1007/jhep04(2012)028

published in Journal of High Energy Physics 2012(4) (Springer Nature) · 41 pages, typos corrected, references added

arxiv created 2012/01/27 · openalex publication_date 2012/04/01 · arxiv updated 2015/06/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We compute the six-dimensional effective action of the heterotic string compactified on K3 for the standard embedding and for a class of backgrounds with line bundles and appropriate Yang-Mills fluxes. We compute the couplings of the charged scalars and the bundle moduli as functions of the geometrical K3 moduli from a Kaluza-Klein analysis. We derive the D-term potential and show that in the flux backgrounds U(1) vector multiplets become massive by a Stuckelberg mechanism.

Citations

• Vacuum configurations for superstrings
• Anomaly cancellation in six dimensions
• Quaternionic Kähler manifolds, constrained instantons and the magic square: I
• On the existence of hermitian-yang-mills connections in stable vector bundles
• Compact heterotic orbifolds in blow-up
• Calabi's conjecture and some new results in algebraic geometry
• Moduli dependence of string loop corrections to gauge coupling constants
• Strings on orbifolds
• K3 Surfaces and String Duality
• Exact results for N = 2 compactifications of heterotic strings