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Paper IPM / P / 15440  


Abstract:  
Prompted by the recent developments in integrable single trace T ―T and J ―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 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 WessZuminoWitten (WZW) model, thereby generalising the YangBaxter class that includes TsT. We also note that equivalence between O(d,d) transformations and marginal deformations of WZW models, proposed by Hassan & Sen for Abelian chiral currents, can be extended to nonAbelian chiral currents to recover a wellknown constraint on EMD in the worldsheet CFT. We also argue that such EMD are also solvable from the worldsheet theory viewpoint.
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