Stationary strings and branes in the higher-dimensional Kerr-NUT-(A)dS spacetimes

Details Stationary strings and branes in the higher-dimensional Kerr-NUT-(A)dS spacetimes Stationary strings and branes in the higher-dimensional Kerr-NUT-(A)dS spacetimes

2007-11-14

arxiv.org/abs/0711.2300v1

JHEP0802:007,2008

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, no figures

Scientific paper

10.1088/1126-6708/2008/02/007

We demonstrate complete integrability of the Nambu-Goto equations for a stationary string in the general Kerr-NUT-(A)dS spacetime describing the higher-dimensional rotating black hole. The stationary string in D dimensions is generated by a 1-parameter family of Killing trajectories and the problem of finding a string configuration reduces to a problem of finding a geodesic line in an effective (D-1)-dimensional space. Resulting integrability of this geodesic problem is connected with the existence of hidden symmetries which are inherited from the black hole background. In a spacetime with p mutually commuting Killing vectors it is possible to introduce a concept of a $\xi$-brane, that is a p-brane with the worldvolume generated by these fields and a 1-dimensional curve. We discuss integrability of such $\xi$-branes in the Kerr-NUT-(A)dS spacetime.

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