Y-system for Y = 0 brane in planar AdS/CFT

Abstract

The spectrum of open strings with integrable Y = 0 brane boundary conditions is analyzed in planar AdS/CFT. We give evidence that it can be described by the same Y-system that governs the spectrum of closed strings in AdS5 × S5, except with different asymptotic and analytical properties. We determine the asymptotic solution of the Y - system that is consistent both with boundary asymptotic Bethe ansatz and boundary L¨uscher corrections.