2009/02/02 by Haji Ahmedov, Alikram N. Aliev
Mathematics · Physics and Astronomy · #Action (physics) #Black Holes and Theoretical Physics #Classical mechanics #Cosmology and Gravitation Theories #Geometry #Homogeneous space #Killing vector field #Mathematical physics #Mathematics #Non-critical string theory #Noncommutative and Quantum Gravity Theories #Physics #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Spacetime #Spacetime symmetries #Spinning #Stationary spacetime #String (physics) #String theory #Supersymmetry #Theoretical physics #Worldsheet #gr-qc #hep-th
paper · pdf · doi:10.1016/j.physletb.2009.03.075
published as Phys.Lett.B675:257-261,2009 · 14 pages, REVTeX
arxiv created 2009/02/02 · openalex publication_date 2009/04/06 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We explore the symmetries of classical stationary spacetimes in terms of the dynamics of a spinning string described by a worldsheet supersymmetric action. We show that for stationary configurations of the string, the action reduces to that for a pseudo-classical spinning point particle in an effective space, which is a conformally scaled quotient space of the original spacetime. As an example, we consider the stationary spinning string in the Kerr-Newman spacetime, whose motion is equivalent to that of the spinning point particle in the three-dimensional effective space. We present the Killing tensor as well as the spin-valued Killing vector of this space. However, the nongeneric supersymmetry corresponding to the Killing-Yano tensor of the Kerr-Newman spacetime is lost in the effective space.