Stationary Spinning Strings and Symmetries of Classical Spacetimes

Details Stationary Spinning Strings and Symmetries of Classical Spacetimes Stationary Spinning Strings and Symmetries of Classical Spacetimes

2009-02-02

arxiv.org/abs/0902.0258v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, REVTeX

Scientific paper

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.

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