Abstract
We analyse the world-sheet perturbations of string theory formulated around AdS 3 background. We identify a set of operators that, while added to the world-sheet action, generate the boundary fluctuations of AdS 3. The effect of these operators can be collectively defined in terms of Liouville field living on the AdS 3 boundary. We then study various deformations of AdS 3 generated by boundary fluctuations by turning on suitable world-sheet couplings. We also discuss certain small fluctuations around the BTZ black hole.
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