Holographic integration of \(T\overline{T}\) & \(J\overline{T}\) via \(O(d,d)\). (English) Zbl 1414.81190
Summary: Prompted by the recent developments in integrable single trace \( T\overline{T} \) and \( J\overline{T} \) deformations of 2d CFTs, we analyse such deformations in the context of \(\mathrm{AdS}_3/ \mathrm{CFT}_{2}\) 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 & 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.
MSC:
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
| 81R12 | Groups and algebras in quantum theory and relations with integrable systems |
| 83E05 | Geometrodynamics and the holographic principle |
| 16T25 | Yang-Baxter equations |
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