Integrable Subsectors from Holography

Understand

We consider operators in ${\cal N}=4$ super Yang-Mills theory dual to closed string states propagating on a class of LLM geometries.

• The LLM geometries we consider are specified by a boundary condition that is a set of black rings on the LLM plane.
• When projected to the LLM plane, the closed strings are polygons with all corners lying on the outer edge of a single ring.
• The large $N$ limit of correlators of these operators receives contributions from non-planar diagrams even for the leading large $N$ dynamics.