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

TL;DR

This paper investigates the spectrum of open strings with Y=0 brane boundary conditions in planar AdS/CFT, showing it can be described by a modified Y-system similar to that of closed strings, with specific asymptotic properties.

Contribution

It demonstrates that the Y=0 brane boundary conditions lead to a Y-system akin to the closed string case, with unique asymptotic and analytical features, and provides its asymptotic solution.

Findings

Y-system describes open string spectrum with Y=0 brane boundary conditions

Asymptotic solution consistent with boundary Bethe ansatz and Luscher corrections

Modified Y-system shares structure with closed string case

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 AdS_5xS^5, 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 Luscher corrections.