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We show how some features of the AdS/CFT correspondence for AdS_3 can easilybe understood via standard world-sheet methods and 2d gravity like scalingarguments. To do this, we propose a stringy way for perturbing two-dimensionalCFT'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 aworld-sheet action by some marginal operators such that the space-time symmetrybecomes finite dimensional. As a result, we get a massive FT in space-time witha scale provided by two-dimensional coupling constant. It turns out that thereexists a perturbation that leads to string theory on AdS_3. In this case thescale is equivalently provided by the radial anti-de-Sitter coordinate.Comment: 15 pages; corrected some typo

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Probing<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant="normal">AdS</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msub></mml:mrow><mml:mo>−</mml:mo><mml:mi mathvariant="normal">CFT</mml:mi></mml:math>correspondence via world-sheet methods and 2D gravitylike scaling arguments

ProbingAdS3−CFTcorrespondence via world-sheet methods and 2D gravitylike scaling arguments