de Sitter space and Holography

Static coordinates: t,r, θ i , i = 1,...d − 2There is another way to solve the constraint in which it isdecomposed as followswith(−X 2 0 + X 2 d) + (X 2 1 + · · · + X 2 d−1) = l 2−X 2 0 + X 2 d = l 2 − r 2X 2 1 + · · · + X 2 d−1 = r 2which can be solved by the following parametrizationX 0= √ l 2 − r 2 sinh t lX d = √ l 2 − r 2 cosh t lX i = rω i , i = 1,....d − 116