AdS/CFT at D = 3 (on the AdS side) seems to have some special issues which I bundled into a single question
- The CFT is 2D hence it has an infinite-dimensional group of symmetries (locally). The global (Mobius) conformal transformations correspond to isometries of AdS. What is the meaning of the other conformal transformations on the AdS side?
- Is it possible to apply the duality to CFTs with non-zero central charge?
- The CFT can be regarded as a string theory on its own. Hence we get a duality between different string sectors. Is there another way to describe/interpret this duality?