2013/05/31 by K. Andrzejewski, Krzysztof Andrzejewski, J. Gonera +5 · 2 citations
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Classical mechanics #Combinatorics #Conformal map #Coset #Cosmology and Gravitation Theories #Decoupling (probability) #Equations of motion #Hamiltonian (control theory) #Invariant (physics) #Lagrangian #Mathematical analysis #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Nonlinear system #Parametrization (atmospheric modeling) #Physics #Quantum mechanics #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2013.07.026
16 pages, no figures; substantial improvements of the text; several typos corrected; accepted for publication in Nucl. Phys. B
arxiv created 2013/07/31 · openalex publication_date 2013/08/06 · arxiv updated 2015/06/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the dynamics invariant under the action of l-conformal Galilei group using the method of nonlinear realizations. We find that by an appropriate choice of the coset space parametrization one can achieve the complete decoupling of the equations of motion. The Lagrangian and Hamiltonian are constructed. The results are compared with those obtained by Galajinsky and Masterov [Nucl. Phys. B860, (2013), 212].