Reflection algebra, Yangian symmetry and bound-states in AdS/CFT

TL;DR

This paper constructs the boundary Yangian symmetry for an AdS/CFT superstring with boundary degrees of freedom, analyzing the spectrum and automorphisms of the associated algebraic structures.

Contribution

It explicitly develops the Heisenberg picture of reflection algebra and identifies the boundary Yangian symmetry in a boundary-adapted AdS/CFT superstring model.

Findings

Boundary Yangian symmetry is explicitly constructed.

Spectrum of bulk and boundary states analyzed.

Automorphisms of the algebra are explored.

Abstract

We present the `Heisenberg picture' of the reflection algebra by explicitly constructing the boundary Yangian symmetry of an AdS/CFT superstring which ends on a boundary with non-trivial degrees of freedom and which preserves the full bulk Lie symmetry algebra. We also consider the spectrum of bulk and boundary states and some automorphisms of the underlying algebras.