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19 April 2024
 
  » arxiv » 1903.7336

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Holography in de Sitter and anti-de Sitter Spaces and Gel'fand Graev Radon transform
Samrat Bhowmick ; Koushik Ray ; Siddhartha Sen ;
Date 18 Mar 2019
AbstractBulk reconstruction formulas similar to HKLL are obtained for de Sitter and anti-de Sitter spaces as the inverse Gel’fand Graev Radon transform. While these generalize our previous result on the Euclidean anti-de Sitter space, their validity in here is restricted only to odd dimensions. For the anti-de Sitter space it is shown that a reconstruction formula exists for the case of timelike boundary as well. The restriction on the domain of integration on the boundary is derived. As a special case, we point out that the formula is valid for the BTZ black hole as well.
Source arXiv, 1903.7336
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