Localization Instability in the Rotating D-branes

Details Localization Instability in the Rotating D-branes Localization Instability in the Rotating D-branes

1999-03-02

arxiv.org/abs/hep-th/9903023v3

JHEP 9905:025,1999

Physics

High Energy Physics

High Energy Physics - Theory

Revtex, 9 pages, no figures, final version

Scientific paper

10.1088/1126-6708/1999/05/025

In the microcanonical ensemble for string theory on $ AdS_m \times S^n$, there is a phase transition between a black hole solution extended over the $S^n$ and a solution localized on the $S^n$ if the $AdS_m$ has the topology $R^2 \times S^{m-2}$. The phase transition will not appear if the $AdS_m$ has the topology $R^2 \times T^{m-2}$, that is, when the $AdS_m\times S^n$ geometry is regarded as arising from the near-horizon limit of a black $m-2$ brane. In this paper, we argue that when the black branes are rotating, the localization phase transition will occur between some rotating branes and corresponding Kerr black holes when the angular momentum reaches its critical value.

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