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High Energy Physics - Theory

arXiv:0711.2300 (hep-th)
[Submitted on 14 Nov 2007]

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

Authors:David Kubiznak, Valeri P. Frolov
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Abstract: 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.
Comments: 8 pages, no figures
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc)
Report number: Alberta-Thy-16-07
Cite as: arXiv:0711.2300 [hep-th]
  (or arXiv:0711.2300v1 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.0711.2300
Journal reference: JHEP0802:007,2008
Related DOI: https://doi.org/10.1088/1126-6708/2008/02/007

Submission history

From: David Kubiznak [view email]
[v1] Wed, 14 Nov 2007 22:04:10 UTC (13 KB)
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