Deformation Quantization of Odd Dimensional anti-de Sitter Spaces as Contact Manifolds

Levent Akant

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arXiv · 0707.2204

Deformation Quantization of Odd Dimensional anti-de Sitter Spaces as Contact Manifolds

Levent Akant

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Abstract

We quantize odd dimensional anti-de Sitter spaces by applying the method of deforming contact manifolds proposed by Rajeev. The construction in the present paper consists of the identification of the odd dimensional anti-de Sitter space as a hypersurface of contact type and the subsequent use of 'symplectization' principle. We also show that this construction generalizes to any odd dimensional hypersurface which can be represented as a nonzero level set of a homogenous function.

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Levent Akant. 2007-07-15. Deformation Quantization of Odd Dimensional anti-de Sitter Spaces as Contact Manifolds. https://arxiv.org/abs/0707.2204

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