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Prompted by the recent developments in integrable single trace $T \bar{T}$and $J \bar{T}$ deformations of 2d CFTs, we analyse such deformations in thecontext of $AdS_3/CFT_2$ from the dual string worldsheet CFT viewpoint. Weobserve that the finite form of these deformations can be recast as $O(d,d)$transformations, which are an integrated form of the corresponding ExactlyMarginal Deformations (EMD) in the worldsheet Wess-Zumino-Witten (WZW) model,thereby generalising the Yang-Baxter class that includes TsT. Furthermore, theequivalence between $O(d,d)$ transformations and marginal deformations of WZWmodels, proposed by Hassan and Sen for Abelian chiral currents, can be extendedto non-Abelian chiral currents to recover a well-known constraint on EMD in theworldsheet CFT. We also argue that such EMD are also solvable from theworldsheet theory viewpoint.

Holographic integration of $T \bar{T}$ and $J \bar{T}$ via $O(d,d)$