Corpus ID: 115163173

Locally anti de Sitter spaces and deformation quantization

@article{Claessens2007LocallyAD,
  title={Locally anti de Sitter spaces and deformation quantization},
  author={Laurent Claessens},
  journal={arXiv: Differential Geometry},
  year={2007}
}
The work is divided into three main parts. In a first time (chapter 1) we define a "BTZ" black hole in anti de Sitter space in any dimension. That will be done by means of group theoretical and symmetric spaces considerations. A physical "good domain" is identified as an open orbit of a subgroup of the isometry group of anti de Sitter. Then (chapter 2) we show that the open orbit is in fact isomorphic to a group (we introduce the notion of globally group type manifold) for which a quantization… Expand

Figures from this paper

BTZ black hole from the structure of the algebra so(2,n)
The horizon of the BTZ black hole

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