Probing AdS3-CFT correspondence via world-sheet methods and 2D gravitylike scaling arguments

We show how some features of the AdS-CFT correspondence for AdS₃ can easily be understood via standard world-sheet methods and 2D gravitylike scaling arguments. To do this, we propose a stringy way for perturbing two-dimensional CFT's around their critical points. Our strategy is to start from a stringy (world-sheet) representation of 2D CFT in space-time. Next we perturb a world-sheet action by some marginal operators such that the space-time symmetry becomes finite dimensional. As a result, we get a massive FT in space-time with a scale provided by the two-dimensional coupling constant. It turns out that there exists a perturbation that leads to string theory on AdS₃. In this case the scale is equivalently provided by the radial anti-de Sitter coordinate.