Anomalous dimensions in the symmetric orbifold

A bstract Recently, the anomalous conformal dimensions of the symmetric orbifold under the 2-cycle twisted sector deformation were calculated using the perturbed action of the supercharges. In particular, explicit and simple formulae for the dispersion relations of the torus magnons in the w -cycle twisted sector were derived for large w . In this paper we reproduce these results from a direct perturbed 2-point function calculation. In the process we also develop techniques (and a Mathematica code) that allows one to do these calculations for arbitrary quarter BPS states at finite w .