A heterotic flux background and calibrated five-branes

2006/07/20 by Seok Kim, Piljin Yi
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Brane cosmology #Combinatorics #Compactification (mathematics) #Cosmology and Gravitation Theories #Coulomb #Electron #Heterotic string theory #Homotopy #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Spacetime #Theoretical physics #Topology (electrical circuits) #hep-th

paper · pdf · doi:10.1088/1126-6708/2006/11/040

published as JHEP0611:040,2006 · 30 pages, references added

arxiv created 2006/07/20 · openalex publication_date 2006/11/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We consider, in flux compactification of heterotic string theory, spacetime-filling five-branes. Stabilizing the fivebrane involves minimizing the combined energy density of the tension and a Coulomb potential associated with an internal 2-dimensional wrapping. After reviewing the generalized calibration under such circumstances, we consider a particular internal manifold based on a T² bundle over a conformally rescaled K3. Here, we find two distinct types of wrapping. In one class, the fivebrane wraps the fibre T² which belongs to a cyclic homotopy group. The winding number is not extensive, yet it maps to D3-brane number under a U-duality map to type IIB side. We justify this by comparing properties of the two sides in detail. Fivebranes may also wrap a topological 2-cycle of K3, by saturating a standard calibration requirement with respect to a closed Kähler 2-form J_K3 of K3. We close with detailed discussion on F-theory dual of these objects and related issues.

Citations

• Supersymmetric D-branes and calibrations on general Script N = 1 backgrounds
• Eleven-dimensional supergravity on a manifold with boundary
• The theory of superstring with flux on non-Kähler manifolds and the complex Monge-Ampère equation
• String theory dynamics in various dimensions
• An open string landscape
• Compactifications of heterotic strings on non-Kähler complex manifolds II
• Evidence for F-theory
• A no-go theorem for string warped compactifications
• Non-Kähler string backgrounds and their five torsion classes
• Superstrings with intrinsic torsion
• Heterotic and Type I string dynamics from eleven dimensions
• The Anthropic Landscape of String Theory
• de Sitter vacua in string theory
• Generalized Complex Geometry

Cited by

• Four-dimensional string compactifications with D-branes, orientifolds and fluxes