Symmetric space σ-model dynamics: Internal metric formalism

2006/10/03 by Nejat T. Yılmaz, Nejat Tevfik Yilmaz · 6 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Axion #Black Holes and Theoretical Physics #Dilaton #Formalism (music) #Gauge theory #Homotopy and Cohomology in Algebraic Topology #Lagrangian #Lie algebra #Mathematical physics #Mathematics #Metric (unit) #Nonlinear Waves and Solitons #Particle physics #Physics #Pure mathematics #Quantum mechanics #Sigma #Sigma model #Theoretical physics #hep-th

paper · pdf · doi:10.1016/j.physletb.2006.09.036

published in Physics Letters B 642(3), 270-273 (Elsevier BV) · 10 pages

openalex publication_date 2006/10/03 · arxiv created 2006/11/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

For the symmetric space sigma model in the internal metric formalism we explicitly construct the lagrangian in terms of the axions and the dilatons of the solvable Lie algebra gauge and then we exactly derive the axion-dilaton field equations.

Citations

• Lie Groups and Algebras with Applications to Physics, Geometry, and Mechanics
• Differential Geometry, Lie Groups, and Symmetric Spaces
• String theory dynamics in various dimensions
• The group theory of oxidation II: cosets of non-split groups
• R-R scalars, U-duality and solvable Lie algebras
• Unity of superstring dualities

Cited by

• Decoupling structure of the principal sigma model–Maxwell interactions