Hints of Integrability Beyond the Planar Limit: Nontrivial Backgrounds

Understand

The problem of computing the anomalous dimensions of a class of (nearly) half-BPS operators with a large R-charge is reduced to the problem of diagonalizing a Cuntz oscillator chain.

• Due to the large dimension of the operators we consider, non-planar corrections must be summed to correctly construct the Cuntz oscillator dynamics.
• These non-planar corrections do not represent quantum corrections in the dual gravitational theory, but rather, they account for the backreaction from the heavy operator whose dimension we study.
• Non-planar corrections accounting for quantum corrections seem to spoil integrability, in general.