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Constructing a holographic string theory dual for a CFT in the perturbative,weakly coupled regime is a holy grail for gauge/string dualities that would notonly open the door for proofs of the AdS/CFT correspondence but could alsoprovide novel examples of string duals with and without supersymmetry. In thiswork we consider some marginal perturbation of a family of symmetric productorbifolds in two dimensions. From their correlation functions we engineer abosonic string theory whose amplitudes are shown to reproduce the CFTcorrelation function order-by-order both in the coupling and in $1/N$. Ourderivation does not require to compute and compare correlation functionsexplicitly but rather relies on a sequence of identities that can be derivedusing path integral methods. The bosonic string theory we engineer is based onthe field content of the Kac-Wakimoto representation of strings in $AdS_3$ with$k$ units of pure NSNS flux, but the interaction terms we obtain are different.They include current algebra preserving interaction terms with one unit ofspectral flow.

Engineering Perturbative String Duals for Symmetric Product Orbifold CFTs