Kaluza-Klein reduction of low-energy effective actions: geometrical approach

2017/04/30 by Jan Vysoký, Jan Vysoky · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Classical mechanics #Computer science #Dimensional reduction #Energy (signal processing) #Equations of motion #Geometry #Homotopy and Cohomology in Algebraic Topology #Kaluza–Klein theory #Low energy #Mathematical physics #Mathematics #Motion (physics) #Nonlinear Waves and Solitons #Particle physics #Physics #Quantum mechanics #Reduction (mathematics) #String (physics) #Theoretical physics #hep-th #math-ph #math.DG #math.MP

paper · pdf · doi:10.1007/jhep08(2017)143

Some comments added based on the journal review. A few of minor typos corrected

openalex publication_date 2017/08/01 · arxiv created 2017/08/30 · arxiv updated 2017/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Equations of motion of low-energy string effective actions can be conveniently described in terms of generalized geometry and Levi-Civita connections on Courant algebroids. This approach is used to propose and prove a suitable version of the Kaluza-Klein-like reduction. Necessary geometrical tools are recalled.

Citations

• Manifest Duality in Low-Energy Superstrings
• Reduction of Courant algebroids and generalized complex structures
• Differential geometry with a projection: application to double field theory
• Stringy differential geometry, beyond Riemann
• Superspace duality in low-energy superstrings
• Quantentheorie und f�nfdimensionale Relativit�tstheorie
• The first Pontryagin class
• Generalized Complex Geometry
• Generalized Calabi-Yau Manifolds

Cited by

• Effective Actions for σ‐Models of Poisson–Lie Type