I'm reading about Ad. S but the text takes the validity of the Poincare patch for granted, which troubles me. It only has a drawing showing the Poincare patch covering half the whole space, which doesn't help. Anti-de Sitter boundary in Poincare coordinates. Carlos Alfonso Ballon. We build up a detailed description of the space-time boundary of a Poincar I have read anti-de Sitter (AdS) space and its Euclidean version both in Global and Poincar. For Lorentzian case it is clear how one Poincar Introduction to Gauge-String Duality Andrei Starinets. In Poincar e coordinates, the AdS metric is given. The red region in gure 1 represents a Poincar e patch. If the surface patch is defined on a rectangular or even more generally on a locally convex planar domain. How can I work out in detail the explicit coordinate transformation formulas needed to go from the 'canonical' coordinates to the 'Poincare patch'? In mathematics and physics, n-dimensional anti-de Sitter space (AdS n) is a maximally symmetric Lorentzian manifold with constant negative scalar curvature.
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