Current-current deformations, conformal integrals and correlation functions

Understand

Motivated by the recent work on $T\bar{T}$-type deformations of 2D CFTs, a especial class of single-trace deformations of AdS$_3$/CFT$_2$ correspondence has been investigated.

• From the worldsheet perspective, this corresponds to a marginal deformation of the $\sigma $-model on AdS$_3$ that yields a string background that interpolates between AdS$_3$ and a flat linear dilaton solution.
• Here, with the intention of studying this worldsheet CFT further, we consider it in the presence of a boundary.
• In a previous paper, we computed different correlation functions of this theory on the disk, including the bulk 1-point function, the boundary-boundary 2-point function, and the bulk-boundary 2-point function.