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arXiv math/0507157math.QAhep-thmath-phmath.MP

Noncommutative Locally Anti-de Sitter Black Holes

Pierre Bieliavsky, Stephane Detournay, Marianne Rooman, Philippe Spindel

备注：
10 pages, based on a talk given by P.B., to appear in the proceedings of the workshop `Noncommutative Geometry and Physics 2004' (Feb. 2004, Keio University, Japan) (World Scientific)
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英文摘要：

We give a review of our joint work on strict deformation of BHTZ 2+1 black holes \cite{BRS02,BDHRS03}. However some results presented here are not published elsewhere, and an effort is made for enlightening the instrinsical aspect of the constructions. This shows in particular that the three dimensional case treated here could be generalized to an anti-de Sitter space of arbitrary dimension provided one disposes of a universal deformation formula for the actions of a parabolic subgroup of its isometry group.

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