English

Anomalous dimensions in the symmetric orbifold

High Energy Physics - Theory 2026-02-06 v2

Abstract

Recently, the anomalous conformal dimensions of the symmetric orbifold under the 22-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 ww-cycle twisted sector were derived for large ww. In this paper we reproduce these results from a direct perturbed 22-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 ww.

Keywords

Cite

@article{arxiv.2411.17612,
  title  = {Anomalous dimensions in the symmetric orbifold},
  author = {Matthias R. Gaberdiel and Felix Lichtner and Beat Nairz},
  journal= {arXiv preprint arXiv:2411.17612},
  year   = {2026}
}

Comments

14+7 pages, 2 figures, ancillary Mathematica files, v2: extended discussion in section 3.4; matches published version

R2 v1 2026-06-28T20:13:26.097Z