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Holographic integration of $T \bar{T}$ and $J \bar{T}$ via $O(d,d)$ by Araujo, Thiago; Colgáin, Eoin Ó; Sakatani, Yuho; Sheikh-Jabbari, M. M.; Yavartanoo, Hossein is a scholarly article available to read on EtoBox.

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

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 the context of $AdS_3/CFT_2$ from the dual string worldsheet CFT viewpoint. We observe that the finite form of these deformations can be recast as $O(d,d)$ transformations, which are an integrated form of the corresponding Exactly Marginal Deformations (EMD) in the worldsheet Wess-Zumino-Witten (WZW) model, thereby generalising the Yang-Baxter class that includes TsT. Furthermore, the equivalence between $O(d,d)$ transformations and marginal deformations of WZW models, proposed by Hassan and Sen for Abelian chiral currents, can be extended to non-Abelian chiral currents to recover a well-known constraint on EMD in the worldsheet CFT. We also argue that such EMD are also solvable from the worldsheet theory viewpoint.

Author

Araujo, Thiago; Colgáin, Eoin Ó; Sakatani, Yuho; Sheikh-Jabbari, M. M.; Yavartanoo, Hossein

Published

2018

Language

EN