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It was recently shown that the theory obtained by deforming a general two dimensional conformal theory by the irrelevant operator TT is solvable. In the context of holography, a large class of such theories can be obtained by studying string theory on AdS 3. We show that a certain single trace TT deformation of the boundary CFT 2 gives rise in the bulk to string theory in a background that interpolates between AdS 3 in the IR and a linear dilaton spacetime in the UV, i. e. to a two dimensional vacuum of Little String Theory. This construction provides holographic duals for a large class of vacua of string theory in asymptotically linear dilaton spacetimes, and sheds light on the UV behavior of TT deformed CFT 2. It may provide a step towards holography in flat spacetime.
Giveon et al. (Sat,) studied this question.
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