Wrapping corrections for non-diagonal boundaries in AdS/CFT

We consider an open string stretched between a y = 0 brane and a y θ = 0 brane. the latter brane is rotated with respect to the former by an angle θ, and is described by a non-diagonal boundary s-matrix. this system interpolates smoothly between the y −y (θ = 0) and the $$ y-overline{y}left(theta =pi /2right) $$ systems, which are described by diagonal boundary s-matrices. we use integrability to compute the energies of one-particle states at weak coupling up to leading wrapping order (4, 6 loops) as a function of the angle. the results for the diagonal cases exactly match with those obtained previously.